[ [ { "type": "header", "bbox": [ 0.652, 0.017, 0.922, 0.032 ], "angle": 0, "content": null }, { "type": "header", "bbox": [ 0.064, 0.065, 0.455, 0.106 ], "angle": 0, "content": null }, { "type": "header", "bbox": [ 0.814, 0.138, 0.834, 0.154 ], "angle": 0, "content": null }, { "type": "header", "bbox": [ 0.838, 0.14, 0.928, 0.151 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.155, 0.169, 0.237, 0.192 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.259, 0.167, 0.923, 0.32 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.325, 0.436, 0.343 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.353, 0.932, 0.649 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.659, 0.879, 0.688 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.701, 0.932, 0.817 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.817, 0.932, 0.895 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.918, 0.931, 0.945 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.93, 0.977 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.651, 0.016, 0.923, 0.032 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.062, 0.061, 0.46, 0.109 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.815, 0.141, 0.831, 0.153 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.837, 0.141, 0.929, 0.152 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.152, 0.167, 0.242, 0.195 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.255, 0.163, 0.929, 0.209 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.253, 0.202, 0.921, 0.246 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.254, 0.241, 0.891, 0.282 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.253, 0.281, 0.42, 0.322 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.323, 0.438, 0.345 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.352, 0.911, 0.37 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.368, 0.9, 0.384 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.38, 0.903, 0.399 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.396, 0.883, 0.413 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.408, 0.875, 0.427 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.424, 0.862, 0.44 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.438, 0.914, 0.454 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.451, 0.927, 0.469 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.466, 0.933, 0.482 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.48, 0.917, 0.497 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.493, 0.91, 0.511 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.508, 0.906, 0.524 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.523, 0.92, 0.537 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.536, 0.929, 0.552 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.551, 0.884, 0.566 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.564, 0.91, 0.58 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.579, 0.926, 0.595 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.592, 0.913, 0.609 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.606, 0.897, 0.623 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.621, 0.894, 0.637 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.634, 0.355, 0.65 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.658, 0.88, 0.675 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.672, 0.679, 0.69 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.7, 0.934, 0.718 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.714, 0.935, 0.731 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.726, 0.935, 0.744 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.739, 0.935, 0.756 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.752, 0.935, 0.768 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.764, 0.935, 0.781 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.778, 0.934, 0.793 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.79, 0.933, 0.808 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.805, 0.603, 0.819 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.817, 0.933, 0.831 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.83, 0.935, 0.845 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.842, 0.935, 0.858 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.855, 0.935, 0.871 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.868, 0.934, 0.884 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.881, 0.933, 0.896 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.917, 0.932, 0.934 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.929, 0.442, 0.947 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.919, 0.966, 0.932, 0.978 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.063, 0.932, 0.101 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.101, 0.932, 0.203 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.203, 0.932, 0.305 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.306, 0.932, 0.395 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.395, 0.932, 0.483 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.484, 0.932, 0.574 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.574, 0.932, 0.65 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.651, 0.932, 0.766 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.767, 0.578, 0.779 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "list", "bbox": [ 0.258, 0.788, 0.932, 0.892 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.788, 0.93, 0.814 ], "angle": 0, "content": "(a) Integration of a multi-layered Tabu memory model expressly calibrated for congestion-sensitive cost landscapes, combining move-based, solution-based, and frequency-based diversification;", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.815, 0.93, 0.84 ], "angle": 0, "content": "(b) Incorporation of rollout-based real-time dispatch that applies Tabu-guided candidate selection for bounded-horizon evaluation of disruption scenarios;", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.84, 0.93, 0.865 ], "angle": 0, "content": "(c) Unified embedding of these components within a traffic-aware ALNS framework, enabling simultaneous responsiveness, diversification, and predictive robustness in UDO;", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.866, 0.93, 0.891 ], "angle": 0, "content": "(d) Comprehensive empirical validation demonstrating improved performance across service reliability, routing efficiency, and computational competitiveness compared to established baselines and SOTA methods.", "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.902, 0.932, 0.942 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.977 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.788, 0.965, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.099, 0.934, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.111, 0.935, 0.13 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.125, 0.933, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.138, 0.934, 0.155 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.15, 0.934, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.164, 0.934, 0.179 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.178, 0.934, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.19, 0.782, 0.207 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.202, 0.934, 0.218 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.215, 0.936, 0.23 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.226, 0.936, 0.245 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.238, 0.937, 0.259 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.254, 0.934, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.266, 0.929, 0.283 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.279, 0.935, 0.296 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.292, 0.588, 0.307 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.649, 0.934, 0.667 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.662, 0.934, 0.679 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.676, 0.933, 0.691 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.689, 0.934, 0.704 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.701, 0.934, 0.717 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.714, 0.935, 0.731 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.726, 0.933, 0.741 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.738, 0.936, 0.757 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.752, 0.868, 0.768 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.304, 0.933, 0.32 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.316, 0.933, 0.333 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.329, 0.935, 0.346 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.343, 0.934, 0.358 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.355, 0.935, 0.372 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.366, 0.936, 0.386 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.381, 0.874, 0.398 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.273, 0.395, 0.933, 0.409 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.406, 0.935, 0.423 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.42, 0.933, 0.435 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.433, 0.933, 0.448 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.446, 0.933, 0.46 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.459, 0.932, 0.473 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.471, 0.388, 0.486 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.483, 0.932, 0.498 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.497, 0.934, 0.511 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.51, 0.934, 0.525 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.523, 0.933, 0.537 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.535, 0.934, 0.551 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.548, 0.934, 0.564 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.561, 0.83, 0.575 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.572, 0.934, 0.589 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.586, 0.934, 0.601 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.6, 0.933, 0.613 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.612, 0.933, 0.626 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.625, 0.932, 0.638 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.638, 0.893, 0.652 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.059, 0.932, 0.08 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.075, 0.933, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.089, 0.712, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.788, 0.933, 0.804 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.287, 0.801, 0.804, 0.817 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.813, 0.934, 0.829 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.288, 0.827, 0.574, 0.842 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.839, 0.933, 0.856 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.288, 0.853, 0.681, 0.867 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.864, 0.935, 0.882 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.288, 0.878, 0.904, 0.893 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.92, 0.966, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.764, 0.579, 0.781 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.9, 0.934, 0.919 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.915, 0.933, 0.93 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.928, 0.933, 0.943 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.062, 0.932, 0.128 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.14, 0.4, 0.153 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.154, 0.932, 0.193 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.193, 0.932, 0.232 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.232, 0.932, 0.282 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.282, 0.932, 0.346 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.346, 0.932, 0.422 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.423, 0.932, 0.487 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.487, 0.932, 0.551 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.551, 0.932, 0.704 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.704, 0.932, 0.807 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.807, 0.932, 0.935 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.977 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.788, 0.965, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.702, 0.933, 0.719 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.716, 0.934, 0.732 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.727, 0.935, 0.745 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.741, 0.935, 0.759 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.753, 0.935, 0.771 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.769, 0.933, 0.782 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.779, 0.934, 0.797 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.793, 0.84, 0.808 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.806, 0.935, 0.822 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.818, 0.934, 0.835 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.829, 0.935, 0.849 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.845, 0.932, 0.86 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.857, 0.933, 0.873 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.87, 0.933, 0.885 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.881, 0.934, 0.899 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.894, 0.935, 0.913 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.908, 0.934, 0.925 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.92, 0.478, 0.937 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.344, 0.935, 0.361 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.357, 0.934, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.371, 0.935, 0.387 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.384, 0.934, 0.4 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.396, 0.934, 0.414 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.411, 0.46, 0.424 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.153, 0.933, 0.17 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.167, 0.933, 0.183 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.178, 0.441, 0.196 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.191, 0.933, 0.208 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.206, 0.933, 0.221 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.219, 0.823, 0.234 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.919, 0.966, 0.932, 0.978 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.063, 0.933, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.075, 0.933, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.087, 0.934, 0.104 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.101, 0.933, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.113, 0.583, 0.128 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.23, 0.933, 0.246 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.242, 0.937, 0.259 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.257, 0.934, 0.272 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.27, 0.511, 0.284 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.14, 0.401, 0.157 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.28, 0.934, 0.298 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.294, 0.933, 0.309 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.306, 0.934, 0.323 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.32, 0.935, 0.337 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.333, 0.544, 0.349 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.421, 0.934, 0.439 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.433, 0.934, 0.452 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.447, 0.935, 0.464 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.461, 0.933, 0.477 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.474, 0.804, 0.489 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.485, 0.933, 0.502 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.498, 0.934, 0.515 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.51, 0.936, 0.528 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.524, 0.934, 0.54 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.537, 0.634, 0.552 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.55, 0.933, 0.566 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.563, 0.934, 0.579 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.576, 0.933, 0.591 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.588, 0.933, 0.604 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.602, 0.934, 0.618 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.613, 0.935, 0.63 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.626, 0.935, 0.644 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.638, 0.935, 0.656 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.652, 0.934, 0.668 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.666, 0.935, 0.682 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.678, 0.935, 0.695 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.692, 0.409, 0.706 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.062, 0.934, 0.129 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.14, 0.371, 0.155 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.155, 0.414, 0.167 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.167, 0.932, 0.219 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.219, 0.932, 0.282 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.282, 0.581, 0.296 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.328, 0.305, 0.932, 0.328 ], "angle": 0, "content": "\\[\n\\min \\sum_ {k \\in K} \\sum_ {(i, j) \\in A} x _ {i j k} \\left[ t _ {i j} \\left(T _ {i}\\right) + \\lambda_ {2} \\rho_ {i j} \\left(T _ {i}\\right) \\right] + \\lambda_ {1} \\sum_ {j \\in N \\setminus \\{0 \\}} \\delta_ {j}, \\tag {1}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.34, 0.851, 0.354 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.354, 0.821, 0.366 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.366, 0.678, 0.38 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.505, 0.387, 0.932, 0.403 ], "angle": 0, "content": "\\[\n\\delta_ {j} \\equiv \\max \\left\\{0, S _ {j} - l _ {j} \\right\\} \\tag {2}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.414, 0.931, 0.441 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.434, 0.45, 0.932, 0.472 ], "angle": 0, "content": "\\[\n\\sum_ {k \\in K} \\sum_ {j \\in N} x _ {i j k} = 1, \\forall i \\in N \\setminus \\{0 \\}. \\tag {3}\n\\]" }, { "type": "text", "bbox": [ 0.258, 0.485, 0.482, 0.5 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.431, 0.508, 0.932, 0.53 ], "angle": 0, "content": "\\[\n\\sum_ {i \\in N \\setminus \\{0 \\}} d _ {i} \\sum_ {j \\in N} x _ {i j k} \\leq Q, \\forall k \\in K \\tag {4}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.542, 0.643, 0.557 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.348, 0.564, 0.932, 0.58 ], "angle": 0, "content": "\\[\n\\text { if } x _ {i j k} = 1 \\text { then } A _ {j} \\geq T _ {i} + t _ {i j} (T _ {i}), S _ {j} \\geq \\max \\left\\{A _ {j}, e _ {j} \\right\\}, T _ {j} = S _ {j} + s _ {j}. \\tag {5}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.592, 0.604, 0.607 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.365, 0.614, 0.932, 0.631 ], "angle": 0, "content": "\\[\nS _ {j} \\leq l _ {j} + \\epsilon_ {j}, \\epsilon_ {j} \\geq 0 (\\text { equivalently } \\delta_ {j} = \\epsilon_ {j} = \\max \\{0, S _ {j} - l _ {j} \\}) \\tag {6}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.641, 0.931, 0.669 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.384, 0.677, 0.932, 0.7 ], "angle": 0, "content": "\\[\nu _ {i} - u _ {j} + n \\sum_ {k \\in K} x _ {i j k} \\leq n - 1, \\forall i \\neq j, i, j \\in N \\setminus \\{0 \\} \\tag {7}\n\\]" }, { "type": "table", "bbox": [ 0.08, 0.77, 0.933, 0.913 ], "angle": 0, "content": "
ReferenceContribution SummaryIdentified Gap
Imran & Won (2024)Traffic-aware drone-truck delivery under dynamically changing congestion using Variable Neighborhood Descent (VND) heuristic.No memory-guided search or rollout adaptation for uncertainty handling.
Chen et al. (2025)Multi-objective Ant Colony Optimization (ACO) with adaptive pheromone control and capacity-aware repair approaches.Lacks integration with traffic-aware constraints and adaptive memory components.
Agarwal et al. (2024)Bi-criterion Steiner-TSPTW for last-mile Electronic Vehicle (EV) logistics balancing energy usage and safety.Focused on energy/safety but lacks dynamic re-optimization or route revision mechanisms.
Moradi et al. (2024)Two-echelon EV routing for parcel delivery with focus on hierarchical structure and energy limits.No consideration of traffic flow patterns or dispatch-level adaptation in urban scenarios.
Nasution (2025)Advanced High-performance Bus (AHB)-ACO for pickup and delivery under real-time dynamic constraints and adaptive re-routing.No integration of multi-layered Tabu memory or simulation rollout for real-time control.
" }, { "type": "table_caption", "bbox": [ 0.257, 0.922, 0.617, 0.937 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.557, 0.18, 0.636, 0.192 ], "latex": "G = ( N , A )", "score": 0.9033 }, { "type": "inline_formula", "bbox": [ 0.551, 0.193, 0.637, 0.205 ], "latex": "A \\subseteq \\dot { N } \\times \\dot { N }", "score": 0.9008 }, { "type": "inline_formula", "bbox": [ 0.731, 0.179, 0.862, 0.193 ], "latex": "N = \\{ 0 , 1 , 2 , \\ldots , n \\}", "score": 0.9387 }, { "type": "inline_formula", "bbox": [ 0.844, 0.206, 0.891, 0.219 ], "latex": "t _ { i j } \\left( T _ { i } \\right)", "score": 0.9192 }, { "type": "inline_formula", "bbox": [ 0.38, 0.218, 0.465, 0.232 ], "latex": "i \\in \\textit { N } \\backslash \\{ 0 \\}", "score": 0.8397 }, { "type": "inline_formula", "bbox": [ 0.263, 0.231, 0.304, 0.244 ], "latex": "[ e _ { i } , l _ { i } ]", "score": 0.7373 }, { "type": "inline_formula", "bbox": [ 0.553, 0.219, 0.571, 0.231 ], "latex": "d _ { i }", "score": 0.5688 }, { "type": "inline_formula", "bbox": [ 0.722, 0.221, 0.74, 0.232 ], "latex": "s _ { i } ,", "score": 0.8101 }, { "type": "inline_formula", "bbox": [ 0.289, 0.244, 0.372, 0.257 ], "latex": "\\dot { T _ { i } } = S _ { i } + s _ { i }", "score": 0.929 }, { "type": "inline_formula", "bbox": [ 0.318, 0.257, 0.403, 0.27 ], "latex": "x _ { i j k } \\in \\ \\{ 0 , 1 \\}", "score": 0.9303 }, { "type": "inline_formula", "bbox": [ 0.598, 0.243, 0.719, 0.257 ], "latex": "K = \\{ 1 , 2 , \\dots , m \\}", "score": 0.9257 }, { "type": "inline_formula", "bbox": [ 0.866, 0.244, 0.884, 0.257 ], "latex": "\\scriptstyle { \\overline { { Q } } } .", "score": 0.5577 }, { "type": "inline_formula", "bbox": [ 0.876, 0.257, 0.93, 0.272 ], "latex": "\\rho _ { \\ i j } \\left( T _ { i } \\right)", "score": 0.9234 }, { "type": "inline_formula", "bbox": [ 0.302, 0.34, 0.449, 0.354 ], "latex": "\\delta { j } = \\operatorname* { m a x } \\left\\{ 0 , S _ { j } - l _ { j } \\right\\}", "score": 0.6853 }, { "type": "inline_formula", "bbox": [ 0.292, 0.415, 0.38, 0.427 ], "latex": "\\lambda _ { 1 } , \\lambda _ { 2 } \\in \\mathbb { R } ^ { + }", "score": 0.8696 }, { "type": "inline_formula", "bbox": [ 0.8, 0.415, 0.836, 0.429 ], "latex": "S _ { j } \\geq", "score": 0.7585 }, { "type": "inline_formula", "bbox": [ 0.873, 0.415, 0.925, 0.429 ], "latex": "\\{ A _ { j } , e _ { j } \\}", "score": 0.791 }, { "type": "inline_formula", "bbox": [ 0.429, 0.543, 0.477, 0.556 ], "latex": "k \\in \\ K", "score": 0.7197 }, { "type": "inline_formula", "bbox": [ 0.527, 0.543, 0.64, 0.557 ], "latex": "( i , j ) \\in \\ A , \\operatorname { E q . } \\ ( 5 )", "score": 0.6238 }, { "type": "inline_formula", "bbox": [ 0.467, 0.592, 0.602, 0.607 ], "latex": "j \\in \\textit { N } \\setminus \\{ 0 \\} , \\mathrm { E q . } \\left( 6 \\right)", "score": 0.5954 }, { "type": "inline_formula", "bbox": [ 0.282, 0.654, 0.416, 0.668 ], "latex": "i \\in \\mathcal { N } \\setminus \\{ \\dot { 0 } \\} , \\mathrm { E q . } ( 7 )", "score": 0.6201 }, { "type": "inline_formula", "bbox": [ 0.859, 0.642, 0.93, 0.655 ], "latex": "u _ { i } \\in ~ [ 1 , n ]", "score": 0.9255 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.365, 0.678, 0.381 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.542, 0.429, 0.558 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.478, 0.542, 0.527, 0.558 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.641, 0.542, 0.643, 0.558 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.412, 0.291, 0.431 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.381, 0.412, 0.799, 0.431 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.836, 0.412, 0.872, 0.431 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.926, 0.412, 0.933, 0.431 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.426, 0.706, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.639, 0.859, 0.657 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.639, 0.934, 0.657 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.653, 0.282, 0.671 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.417, 0.653, 0.42, 0.671 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.921, 0.966, 0.932, 0.977 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.218, 0.379, 0.233 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.466, 0.218, 0.553, 0.233 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.571, 0.218, 0.721, 0.233 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.741, 0.218, 0.933, 0.233 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.305, 0.23, 0.934, 0.247 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.242, 0.288, 0.26 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.373, 0.242, 0.597, 0.26 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.72, 0.242, 0.866, 0.26 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.885, 0.242, 0.934, 0.26 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.255, 0.317, 0.274 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.403, 0.255, 0.875, 0.274 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.255, 0.933, 0.274 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.27, 0.551, 0.284 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.151, 0.416, 0.17 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.061, 0.934, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.074, 0.934, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.086, 0.935, 0.104 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.101, 0.934, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.255, 0.112, 0.915, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.167, 0.934, 0.182 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.179, 0.557, 0.195 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.637, 0.179, 0.73, 0.195 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.862, 0.179, 0.936, 0.195 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.192, 0.55, 0.207 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.637, 0.192, 0.935, 0.207 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.205, 0.843, 0.221 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.891, 0.205, 0.898, 0.221 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.137, 0.374, 0.159 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.279, 0.582, 0.298 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.338, 0.302, 0.356 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.449, 0.338, 0.853, 0.356 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.351, 0.823, 0.368 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.484, 0.482, 0.501 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.591, 0.466, 0.608 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.602, 0.591, 0.604, 0.608 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.921, 0.617, 0.938 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.062, 0.932, 0.101 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.101, 0.932, 0.178 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.19, 0.464, 0.204 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.204, 0.932, 0.255 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.255, 0.932, 0.3 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.3, 0.495, 0.314 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.497, 0.322, 0.932, 0.341 ], "angle": 0, "content": "\\[\nt _ {i j} \\left(T _ {i}\\right) = t _ {i j} ^ {(h)}, \\text { if } T _ {i} \\in \\tau_ {h} \\tag {8}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.353, 0.932, 0.38 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.379, 0.631, 0.396 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.478, 0.407, 0.932, 0.427 ], "angle": 0, "content": "\\[\n\\rho_ {i j} \\left(T _ {i}\\right) = \\theta \\cdot \\gamma_ {i j} ^ {(h)}, \\text { if } T _ {i} \\in \\tau_ {h} \\tag {9}\n\\]" }, { "type": "image", "bbox": [ 0.117, 0.465, 0.932, 0.911 ], "angle": 0, "content": "```mermaid\ngraph TD\n A[\"0 Depot\"] -->|t01(T0)| B[\"1\"]\n A -->|t13(T1)| C[\"3\"]\n A -->|t50(T5)| D[\"2\"]\n A -->|t35(T3)| E[\"4\"]\n B -->|d1=5[\"8:00, 10:00\"]| F[\"Vehicle 1\"]\n C -->|d3=3[\"10:30, 12:00\"]| G[\"Vehicle 1\"]\n D -->|d2=8[\"9:00, 11:30\"]| H[\"Vehicle 2\"]\n E -->|d5=4[\"12:00, 14:00\"]| I[\"5\"]\n style A fill:#FFD700,stroke:#333\n style B fill:#66B2FF,stroke:#333\n style C fill:#66B2FF,stroke:#333\n style D fill:#66B2FF,stroke:#333\n style E fill:#66B2FF,stroke:#333\n style F fill:#FFA500,stroke:#333\n style G fill:#FFA500,stroke:#333\n style H fill:#FFA500,stroke:#333\n style I fill:#FFA500,stroke:#333\n note right of A\n K=2 Vehicle 2\n end\n note right of B\n K=1 Vehicle 1\n note right of C\n note right of D\n note right of E\n note right of F\n note right of G\n note right of H\n note right of I\n note right of J\n note right of K\n note right of L\n note right of M\n note right of N\n note right of O\n note right of P\n note right of Q\n note right of R\n note right of S\n note right of T\n note right of U\n note right of V\n note right of W\n note right of X\n note right of Y\n note right of Z\n note right of AA\n note right of AB\n note right of AC\n note right of AD\n note right of AE\n note right of AF\n note right of AG\n note right of AH\n note right of AI\n note right of AJ\n note right of AK\n note right of AL\n note right of AM\n note right of AN\n note right of AO\n note right of AP\n note right of AQ\n note right of AR\n note right of AS\n note right of AT\n note right of AU\n note right of AV\n note right of AW\n note right of AX\n note right of AY\n note right of AZ\n note right of BA\n note right of BB\n note right of BC\n note right of DA\n note right of AE\n note right of AF\n note right of AG\n note right of AH\n note right of AI\n note right of AJ\n note right of AK\n note right of AL\n note right of AM\n note right of AN\n note right of AO\n note right of AP\n note right of AZ\n note right of AL\n note right of AW\n note right of AX\n note right of AY\n end\n```", "sub_type": "flowchart" }, { "type": "image_caption", "bbox": [ 0.256, 0.922, 0.607, 0.937 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.424, 0.076, 0.477, 0.091 ], "latex": "\\rho _ { \\mathit { i j } } \\left( T _ { i } \\right)", "score": 0.9238 }, { "type": "inline_formula", "bbox": [ 0.883, 0.063, 0.929, 0.077 ], "latex": "t _ { i j } \\left( T _ { i } \\right)", "score": 0.9319 }, { "type": "inline_formula", "bbox": [ 0.315, 0.127, 0.332, 0.139 ], "latex": "d _ { i }", "score": 0.7901 }, { "type": "inline_formula", "bbox": [ 0.452, 0.114, 0.53, 0.127 ], "latex": "G = ( N , A )", "score": 0.9313 }, { "type": "inline_formula", "bbox": [ 0.37, 0.14, 0.44, 0.153 ], "latex": "( x _ { i j k } = 1 )", "score": 0.9318 }, { "type": "inline_formula", "bbox": [ 0.357, 0.153, 0.375, 0.166 ], "latex": "T _ { i } ,", "score": 0.8109 }, { "type": "inline_formula", "bbox": [ 0.466, 0.127, 0.506, 0.14 ], "latex": "[ e _ { i } , l _ { i } ] .", "score": 0.8977 }, { "type": "inline_formula", "bbox": [ 0.819, 0.14, 0.866, 0.154 ], "latex": "t _ { i j } \\left( T _ { i } \\right)", "score": 0.9181 }, { "type": "inline_formula", "bbox": [ 0.543, 0.229, 0.588, 0.243 ], "latex": "\\dot { t } _ { i j } \\left( T _ { i } \\right)", "score": 0.9046 }, { "type": "inline_formula", "bbox": [ 0.735, 0.229, 0.788, 0.244 ], "latex": "\\dot { \\rho _ { i j } ( T _ { i } ) }", "score": 0.9282 }, { "type": "inline_formula", "bbox": [ 0.417, 0.255, 0.475, 0.269 ], "latex": "[ 0 , T _ { \\mathrm { m a x } } ]", "score": 0.9175 }, { "type": "inline_formula", "bbox": [ 0.32, 0.27, 0.351, 0.284 ], "latex": "( i , j )", "score": 0.5196 }, { "type": "inline_formula", "bbox": [ 0.437, 0.272, 0.463, 0.283 ], "latex": "\\tau _ { h } ,", "score": 0.8299 }, { "type": "inline_formula", "bbox": [ 0.644, 0.255, 0.765, 0.269 ], "latex": "\\{ \\tau _ { 1 } , \\tau _ { 2 } , \\ldots , \\tau _ { H } \\}", "score": 0.939 }, { "type": "inline_formula", "bbox": [ 0.598, 0.267, 0.623, 0.285 ], "latex": "\\hat { t } _ { i j } ^ { ( h ) }", "score": 0.8907 }, { "type": "inline_formula", "bbox": [ 0.805, 0.255, 0.904, 0.268 ], "latex": "\\Delta t = T _ { \\operatorname* { m a x } } / H", "score": 0.9377 }, { "type": "inline_formula", "bbox": [ 0.518, 0.285, 0.548, 0.299 ], "latex": "T ^ { ( h ) }", "score": 0.8953 }, { "type": "inline_formula", "bbox": [ 0.446, 0.379, 0.527, 0.396 ], "latex": "\\gamma \\mathbf { \\Sigma } _ { i j } ^ { ( h ) } \\in \\left[ 0 , 1 \\right]", "score": 0.9263 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.189, 0.465, 0.206 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.101, 0.933, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.114, 0.451, 0.128 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.53, 0.114, 0.933, 0.128 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.126, 0.314, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.333, 0.126, 0.465, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.507, 0.126, 0.935, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.139, 0.369, 0.155 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.44, 0.139, 0.818, 0.155 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.867, 0.139, 0.934, 0.155 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.152, 0.356, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.376, 0.152, 0.932, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.165, 0.397, 0.179 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.921, 0.966, 0.932, 0.978 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.061, 0.882, 0.08 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.061, 0.932, 0.08 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.075, 0.423, 0.092 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.478, 0.075, 0.934, 0.092 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.089, 0.333, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.351, 0.935, 0.371 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.365, 0.69, 0.383 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.203, 0.933, 0.219 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.215, 0.935, 0.232 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.227, 0.542, 0.246 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.589, 0.227, 0.735, 0.246 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.788, 0.227, 0.935, 0.246 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.24, 0.426, 0.258 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.253, 0.417, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.475, 0.253, 0.643, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.766, 0.253, 0.804, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.905, 0.253, 0.934, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.269, 0.319, 0.285 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.352, 0.269, 0.437, 0.285 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.464, 0.269, 0.597, 0.285 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.624, 0.269, 0.934, 0.284 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.285, 0.518, 0.302 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.548, 0.285, 0.557, 0.302 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.605, 0.262, 0.617, 0.287 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.298, 0.496, 0.316 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.375, 0.445, 0.4 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.528, 0.375, 0.633, 0.4 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.449, 0.376, 0.479, 0.389 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.922, 0.609, 0.938 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.059, 0.934, 0.093 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.455, 0.1, 0.932, 0.12 ], "angle": 0, "content": "\\[\nt _ {i j} ^ {\\prime} \\left(T _ {i}\\right) = t _ {i j} ^ {(h)} + \\beta \\cdot \\eta_ {i j} ^ {(h)}, \\text { if } T _ {i} \\in \\tau_ {h} \\tag {10}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.132, 0.486, 0.145 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.145, 0.608, 0.16 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.388, 0.166, 0.932, 0.186 ], "angle": 0, "content": "\\[\nT _ {i} ^ {1} \\leq T _ {i} ^ {2} \\Rightarrow T _ {i} ^ {1} + t _ {i j} \\left(T _ {i} ^ {1}\\right) \\leq T _ {i} ^ {2} + t _ {i j} \\left(T _ {i} ^ {2}\\right), \\forall (i, j) \\in A \\tag {11}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.198, 0.595, 0.212 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.214, 0.932, 0.269 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.28, 0.5, 0.295 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.294, 0.932, 0.346 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.345, 0.932, 0.41 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.409, 0.932, 0.525 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.537, 0.81, 0.551 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.55, 0.932, 0.601 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.601, 0.931, 0.627 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.627, 0.517, 0.641 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.478, 0.648, 0.932, 0.665 ], "angle": 0, "content": "\\[\nR _ {k} = \\left\\langle 0, c _ {k 1}, c _ {k 2}, \\dots , c _ {k \\mid R _ {k} \\mid}, 0 \\right\\rangle \\tag {12}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.676, 0.931, 0.701 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.702, 0.808, 0.716 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.52, 0.724, 0.932, 0.746 ], "angle": 0, "content": "\\[\n\\sum_ {i = 1} ^ {| R _ {k} |} d _ {c _ {k i}} \\leq Q \\tag {13}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.759, 0.851, 0.773 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.772, 0.932, 0.824 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.823, 0.932, 0.887 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.887, 0.932, 0.927 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.294, 0.062, 0.337, 0.074 ], "latex": "\\theta > 0", "score": 0.8491 }, { "type": "inline_formula", "bbox": [ 0.838, 0.058, 0.859, 0.077 ], "latex": "\\mathbf { \\Sigma } _ { i j } ^ { ( h ) }", "score": 0.8218 }, { "type": "inline_formula", "bbox": [ 0.302, 0.132, 0.35, 0.145 ], "latex": "\\beta \\geq 0", "score": 0.8997 }, { "type": "inline_formula", "bbox": [ 0.394, 0.213, 0.562, 0.236 ], "latex": "\\left\\{ { { t } _ { i j } } \\left( { { T } _ { i } } \\right) , { { \\rho } _ { i j } } \\left( { { T } _ { i } } \\right) , { { \\eta } _ { i j } ^ { \\left( h \\right) } } \\right\\}", "score": 0.9536 }, { "type": "inline_formula", "bbox": [ 0.565, 0.235, 0.67, 0.253 ], "latex": "T \\in \\mathbb { R } _ { + } ^ { | A | \\times H \\times 3 }", "score": 0.9393 }, { "type": "inline_formula", "bbox": [ 0.464, 0.602, 0.51, 0.613 ], "latex": "S \\in S", "score": 0.8675 }, { "type": "inline_formula", "bbox": [ 0.371, 0.615, 0.39, 0.626 ], "latex": "R _ { k }", "score": 0.8701 }, { "type": "inline_formula", "bbox": [ 0.806, 0.601, 0.925, 0.615 ], "latex": "\\{ R _ { 1 } , R _ { 2 } , \\ldots , R _ { m } \\}", "score": 0.9317 }, { "type": "inline_formula", "bbox": [ 0.756, 0.614, 0.803, 0.626 ], "latex": "k \\in \\ K", "score": 0.8744 }, { "type": "inline_formula", "bbox": [ 0.303, 0.679, 0.324, 0.689 ], "latex": "c _ { k i }", "score": 0.8498 }, { "type": "inline_formula", "bbox": [ 0.299, 0.69, 0.319, 0.702 ], "latex": "R _ { k }", "score": 0.8705 }, { "type": "inline_formula", "bbox": [ 0.672, 0.676, 0.701, 0.69 ], "latex": "\\lvert R _ { k } \\rvert", "score": 0.8988 }, { "type": "inline_formula", "bbox": [ 0.471, 0.702, 0.492, 0.715 ], "latex": "R _ { k }", "score": 0.8859 }, { "type": "inline_formula", "bbox": [ 0.302, 0.761, 0.329, 0.774 ], "latex": "d _ { c _ { k i } }", "score": 0.905 }, { "type": "inline_formula", "bbox": [ 0.522, 0.762, 0.541, 0.772 ], "latex": "c _ { k i }", "score": 0.8656 }, { "type": "inline_formula", "bbox": [ 0.726, 0.76, 0.748, 0.771 ], "latex": "k ^ { \\ : \\mathfrak { s } }", "score": 0.6391 }, { "type": "inline_formula", "bbox": [ 0.415, 0.775, 0.435, 0.786 ], "latex": "c _ { k i }", "score": 0.8588 }, { "type": "inline_formula", "bbox": [ 0.43, 0.786, 0.479, 0.799 ], "latex": "t _ { i j } \\left( D _ { i } \\right)", "score": 0.9085 }, { "type": "inline_formula", "bbox": [ 0.605, 0.786, 0.624, 0.798 ], "latex": "S _ { 0 }", "score": 0.6413 }, { "type": "inline_formula", "bbox": [ 0.761, 0.772, 0.825, 0.787 ], "latex": "[ e _ { c _ { k i } } , { \\bar { l _ { c _ { k i } } } } ]", "score": 0.9309 }, { "type": "inline_formula", "bbox": [ 0.32, 0.81, 0.355, 0.824 ], "latex": "f \\left( S \\right)", "score": 0.5078 }, { "type": "inline_formula", "bbox": [ 0.353, 0.862, 0.505, 0.874 ], "latex": "0 \\ 2 \\ 4 \\ 5 \\ 0", "score": 0.868 }, { "type": "inline_formula", "bbox": [ 0.816, 0.85, 0.931, 0.862 ], "latex": "0 1 3 0", "score": 0.8999 }, { "type": "inline_formula", "bbox": [ 0.263, 0.899, 0.407, 0.913 ], "latex": "D : \\mathcal { S } \\mathcal { S } \\times 2 ^ { N \\setminus \\{ 0 \\} }", "score": 0.9345 }, { "type": "inline_formula", "bbox": [ 0.787, 0.888, 0.823, 0.9 ], "latex": "S _ { t } , \\mathrm { ~ A ~ }", "score": 0.9068 }, { "type": "inline_formula", "bbox": [ 0.52, 0.913, 0.539, 0.925 ], "latex": "S ^ { \\prime }", "score": 0.6557 }, { "type": "inline_formula", "bbox": [ 0.731, 0.899, 0.876, 0.913 ], "latex": "R : \\mathcal { S } \\times 2 ^ { N \\setminus \\{ 0 \\} } \\to \\dot { \\mathcal { S } }", "score": 0.9352 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.407, 0.934, 0.425 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.421, 0.935, 0.438 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.432, 0.936, 0.451 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.447, 0.934, 0.463 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.46, 0.933, 0.476 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.472, 0.932, 0.487 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.484, 0.935, 0.501 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.499, 0.933, 0.514 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.511, 0.322, 0.526 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.511, 0.328, 0.52 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.598, 0.464, 0.617 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.51, 0.598, 0.805, 0.617 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.926, 0.598, 0.935, 0.617 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.613, 0.37, 0.628 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.391, 0.613, 0.755, 0.628 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.804, 0.613, 0.81, 0.628 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.675, 0.302, 0.691 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.325, 0.675, 0.671, 0.691 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.701, 0.675, 0.935, 0.691 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.687, 0.298, 0.705 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.32, 0.687, 0.328, 0.705 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.885, 0.786, 0.903 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.823, 0.885, 0.935, 0.903 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.896, 0.262, 0.917 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.407, 0.896, 0.73, 0.917 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.877, 0.896, 0.937, 0.917 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.914, 0.519, 0.927 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.539, 0.914, 0.601, 0.927 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.921, 0.966, 0.932, 0.978 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.254, 0.053, 0.293, 0.084 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.338, 0.053, 0.837, 0.084 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.86, 0.053, 0.938, 0.084 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.077, 0.407, 0.095 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.275, 0.207, 0.393, 0.24 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.563, 0.207, 0.935, 0.24 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.252, 0.23, 0.564, 0.259 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.671, 0.23, 0.94, 0.259 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.255, 0.334, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.293, 0.933, 0.309 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.306, 0.934, 0.322 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.319, 0.934, 0.335 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.332, 0.473, 0.347 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.344, 0.934, 0.362 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.356, 0.935, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.37, 0.934, 0.387 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.381, 0.935, 0.401 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.394, 0.664, 0.412 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.549, 0.933, 0.565 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.56, 0.935, 0.579 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.575, 0.934, 0.591 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.587, 0.758, 0.603 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.77, 0.414, 0.79 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.436, 0.77, 0.76, 0.79 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.825, 0.77, 0.936, 0.79 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.785, 0.429, 0.8 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.48, 0.785, 0.605, 0.8 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.625, 0.785, 0.934, 0.8 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.798, 0.933, 0.813 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.809, 0.32, 0.826 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.356, 0.809, 0.44, 0.826 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.822, 0.935, 0.839 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.837, 0.933, 0.85 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.849, 0.815, 0.863 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.932, 0.849, 0.935, 0.863 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.861, 0.352, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.505, 0.861, 0.934, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.873, 0.441, 0.888 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.757, 0.302, 0.775 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.33, 0.757, 0.521, 0.775 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.542, 0.757, 0.725, 0.775 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.748, 0.757, 0.852, 0.775 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.132, 0.302, 0.147 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.351, 0.132, 0.487, 0.147 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.281, 0.501, 0.297 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.624, 0.518, 0.643 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.144, 0.608, 0.161 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.198, 0.596, 0.213 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.534, 0.812, 0.554 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.7, 0.47, 0.718 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.493, 0.7, 0.809, 0.718 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "image", "bbox": [ 0.117, 0.062, 0.934, 0.384 ], "angle": 0, "content": "```mermaid\ngraph TD\n 0[\"Depot 0\"] -->|d₁ = 5[\"8:00, 10:00\"]| 1[\"1\"]\n 0 -->|d₂ = 8[\"9:00, 11:30\"]| 2[\"2\"]\n 0 -->|d₃ = 3[\"10:30, 12:00\"]| 3[\"3\"]\n 0 -->|d₄ = 6[\"11:00, 13:00\"]| 4[\"4\"]\n 0 -->|d₅ = 4[\"12:00, 14:00\"]| 5[\"5\"]\n 1 -->|d₁ = 5[\"8:00, 10:00\"]| 3\n 2 -->|d₂ = 8[\"9:00, 11:30\"]| 4\n 3 -->|d₃ = 3[\"10:30, 12:00\"]| 5\n 4 -->|d₄ = 6[\"11:00, 13:00\"]| 5\n 5 -->|d₅ = 4[\"12:00, 14:00\"]| 4\n style Depot fill:#FFD700,stroke:#FFA500,stroke-width:2px\n style Customer nodes fill:#66B2FF,stroke:#FFA500,stroke-width:2px\n classDef route fill:#FFA50FF,stroke:#FFA500;\n class A route from Vehicle 1 to Vehicle 2 via Route S⁰;\n class B route from Vehicle 2 to Vehicle 3 via Route S⁰;\n class C route from Vehicle 1 to Vehicle 5 via Route S⁰;\n```", "sub_type": "flowchart" }, { "type": "image_caption", "bbox": [ 0.257, 0.395, 0.596, 0.41 ], "angle": 0, "content": null }, { "type": "image", "bbox": [ 0.117, 0.445, 0.934, 0.696 ], "angle": 0, "content": "```mermaid\ngraph TD\n subgraph_A[\"Destroy phase\"]\n A0[\"0\"] --> A2[\"2\"]\n A0 --> A3[\"3\"]\n A0 --> A4[\"4\"]\n A0 --> A5[\"5\"]\n A0 --> A1[\"1\"]\n A0 --> A2\n A2 --> B\n end\n\n subgraph_B[\"Repair phase\"]\n B0[\"0\"] --> B2[\"2\"]\n B0 --> B3[\"3\"]\n B0 --> B4[\"4\"]\n B0 --> B5[\"5\"]\n B0 --> B6[\"1\"]\n B0 --> B7[\"4\"]\n B0 --> B8[\"5\"]\n B0 --> B9[\"1\"]\n B0 --> B10[\"4\"]\n end\n\n subgraph_C[\"New Solution S'\"]\n C0[\"0\"] --> C2[\"2\"]\n C0 --> C3[\"3\"]\n C0 --> C4[\"4\"]\n C0 --> C5[\"5\"]\n C0 --> C6[\"1\"]\n C0 --> C7[\"4\"]\n C0 --> C8[\"1\"]\n C0 --> C9[\"4\"]\n C0 --> C10[\"1\"]\n C0 --> C11[\"4\"]\n C0 --> C12[\"1\"]\n C0 --> C13[\"4\"]\n C0 --> C14[\"1\"]\n C0 --> C15[\"4\"]\n C0 --> C16[\"1\"]\n C0 --> C17[\"4\"]\n C0 --> C18[\"1\"]\n C0 --> C19[\"4\"]\n C0 --> C20[\"1\"]\n C0 --> C21[\"4\"]\n C0 --> C22[\"1\"]\n C0 --> C23[\"4\"]\n C0 --> C24[\"1\"]\n C0 --> C25[\"4\"]\n C0 --> C26[\"1\"]\n C0 --> C27[\"4\"]\n C0 --> C28[\"1\"]\n C0 --> C29[\"4\"]\n C0 --> C30[\"1\"]\n C0 --> C31[\"4\"]\n C0 --> C32[\"1\"]\n C0 --> C33[\"4\"]\n C0 --> C34[\"1\"]\n C0 --> C35[\"4\"]\n C0 --> C36[\"1\"]\n C0 --> C37[\"4\"]\n C0 --> C38[\"1\"]\n C0 --> C39[\"4\"]\n C0 --> C40[\"1\"]\n C0 --> C41[\"4\"]\n C0 --> C42[\"1\"]\n C0 --> C43[\"4\"]\n C0 --> C44[\"1\"]\n C0 --> C45[\"4\"]\n C0 --> C46[\"1\"]\n C0 --> C47[\"4\"]\n C0 --> C48[\"1\"]\n C0 --> C49[\"4\"]\n C0 --> C50[\"1\"]\n C0 --> C51[\"4\"]\n C0 --> C52[\"1\"]\n C0 --> C53[\"4\"]\n C0 --> C54[\"1\"]\n C0 --> C55[\"4\"]\n C0 --> C56[\"1\"]\n C0 --> C57[\"4\"]\n C0 --> C58[\"1\"]\n C0 --> C59[\"4\"]\n C0 --> C60[\"1\"]\n C0 --> C61[\"4\"]\n C0 --> C62[\"1\"]\n C0 --> C63[\"4\"]\n C0 --> C64[\"1\"]\n C0 --> C65[\"4\"]\n C0 --> C66[\"1\"]\n C0 --> C67[\"4\"]\n C0 --> C68[\"1\"]\n C0 --> C69[\"4\"]\n C0 --> C70[\"1\"]\n C0 --> C71[\"4\"]\n C0 --> C72[\"1\"]\n C0 --> C73[\"4\"]\n C0 --> C74[\"1\"]\n C0 --> C75[\"4\"]\n C0 --> C76[\"1\"]\n C0 --> C77[\"4\"]\n C0 --> C78[\"1\"]\n C0 --> C79[\"4\"]\n C0 --> C80[\"1\"]\n C0 --> C81[\"4\"]\n C0 --> C82[\"1\"]\n C0 --> C83[\"4\"]\n C0 --> C84[\"1\"]\n C0 --> C85[\"4\"]\n C0 --> C86[\"1\"]\n C0 --> C87[\"4\"]\n C0 --> C88[\"1\"]\n C0 --> C89[\"4\"]\n C0 --> C90[\"1\"]\n C0 --> C91[\"4\"]\n C0 --> C92[\"1\"]\n C0 --> C93[\"4\"]\n C0 --> C94[\"1\"]\n C0 --> C95[\"4\"]\n style A fill:#f9f,stroke:#333\n style B fill:#f9f,stroke:#333\n style H fill:#ccf,stroke:#333\n style I fill:#cfc,stroke:#333\n style J fill:#fcc,stroke:#333\n style K fill:#fcc,stroke:#333\n style L fill:#fcc,stroke:#333\n style M fill:#fcc,stroke:#333\n style N fill:#fcc,stroke:#333\n style O fill:#fff,stroke:#333\n style P fill:#fff,stroke:#333\n style Q fill:#fff,stroke:#333\n style R fill:#fff,stroke:#333\n style S fill:#fff,stroke:#333\n style T fill:#fff,stroke:#333\n style U fill:#fff,stroke:#333\n style V fill:#fff,stroke:#333\n style W fill:#fff,stroke:#333\n style X fill:#fff,stroke:#333\n style Y fill:#fff,stroke:#333\n style Z fill:#fff,stroke:#333\n style AA fill:#fff,stroke:#333\n style AB fill:#fff,stroke:#333\n style AC fill:#fff,stroke:#333\n style AD fill:#fff,stroke:#333\n style AE fill:#fff,stroke:#333\n style AF fill:#fff,stroke:#333\n style AG fill:#fff,stroke:#333\n style AH fill:#fff,stroke:#333\n style AI fill:#fff,stroke:#333\n style AJ fill:#fff,stroke:#333\n style AK fill:#fff,stroke:#333\n style AL fill:#fff,stroke:#333\n style AM fill:#fff,stroke:#333\n style AN fill:#fff,stroke:#333\n style AO fill:#fff,stroke:#333\n style AP fill:#fff,stroke:#333\n style AQ fill:#fff,stroke:#333\n style AR fill:#fff,stroke:#333\n style AS fill:#fff,stroke:#333\n style AT fill:#fff,stroke:#333\n style AU fill:#fff,stroke:#333\n style AV fill:#fff,stroke:#333\n style AW fill:#fff,stroke:#333\n style AX fill:#fff,stroke:#333\n style AY fill:#fff,stroke:#333\n```", "sub_type": "flowchart" }, { "type": "image_caption", "bbox": [ 0.257, 0.707, 0.438, 0.723 ], "angle": 0, "content": null }, { "type": "equation", "bbox": [ 0.527, 0.757, 0.932, 0.773 ], "angle": 0, "content": "\\[\nS ^ {\\prime} = R \\left(D \\left(S _ {t}\\right)\\right) \\tag {14}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.785, 0.932, 0.814 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.482, 0.821, 0.932, 0.837 ], "angle": 0, "content": "\\[\n| C | = \\left\\lfloor \\alpha \\cdot n \\right\\rfloor , \\alpha \\in [ 0. 1, 0. 4 ] \\tag {15}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.848, 0.932, 0.914 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.914, 0.932, 0.94 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.633, 0.786, 0.698, 0.799 ], "latex": "C \\subset N \\backslash", "score": 0.7909 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.707, 0.438, 0.723 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.913, 0.933, 0.927 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.925, 0.934, 0.941 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.921, 0.965, 0.933, 0.978 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.782, 0.632, 0.802 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.699, 0.782, 0.934, 0.802 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.799, 0.314, 0.816 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.849, 0.932, 0.863 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.862, 0.933, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.873, 0.934, 0.891 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.886, 0.935, 0.904 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.899, 0.926, 0.915 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.393, 0.597, 0.412 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.063, 0.932, 0.102 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.102, 0.851, 0.115 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.277, 0.122, 0.932, 0.138 ], "angle": 0, "content": "\\[\n\\Delta f _ {i j k} \\left(T _ {j}\\right) = t _ {j i} \\left(T _ {j}\\right) + s _ {i} + t _ {i k} \\left(T _ {j} + t _ {j i} \\left(T _ {j}\\right) + s _ {i}\\right) - t _ {j k} \\left(T _ {j}\\right) + \\lambda_ {1} \\cdot \\delta_ {i} \\left(T _ {i}\\right) + \\lambda_ {2} \\cdot \\rho_ {j i} \\left(T _ {j}\\right) \\tag {16}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.15, 0.932, 0.228 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.228, 0.502, 0.242 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.324, 0.25, 0.932, 0.28 ], "angle": 0, "content": "\\[\n\\Delta F _ {j i k} = \\Delta f _ {j i k} ^ {\\text {local}} \\left(T _ {j}\\right) + \\sum_ {(u, v) \\in \\mathcal {A} _ {\\text {suffix}}} \\left[ t _ {u v} \\left(T _ {u} ^ {\\prime}\\right) + \\lambda_ {1} \\delta_ {v} \\left(T _ {v} ^ {\\prime}\\right) + \\lambda_ {2} \\rho_ {u v} \\left(T _ {u} ^ {\\prime}\\right) \\right] \\tag {17}\n\\]" }, { "type": "equation", "bbox": [ 0.388, 0.277, 0.762, 0.299 ], "angle": 0, "content": "\\[\n- \\sum_ {(u, v) \\in \\mathcal {A} _ {\\mathrm{suffix}} ^ {\\mathrm{old}}} \\left[ t _ {u v} \\left(T _ {u}\\right) \\left(1 6 \\lambda^ {\\prime}\\right) \\delta_ {v} \\left(T _ {v}\\right) + \\lambda_ {2} \\rho_ {u v} \\left(T _ {u}\\right) \\right]\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.31, 0.931, 0.337 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.337, 0.932, 0.363 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.362, 0.807, 0.376 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.5, 0.385, 0.932, 0.416 ], "angle": 0, "content": "\\[\np _ {h} (t) = \\frac {\\omega_ {h} (t)}{\\sum_ {j \\in \\mathcal {H}} \\omega_ {j} (t)} \\tag {18}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.427, 0.932, 0.466 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.467, 0.51, 0.48 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.452, 0.488, 0.932, 0.502 ], "angle": 0, "content": "\\[\n\\omega_ {h} (t + 1) = (1 - \\xi) \\cdot \\omega_ {h} (t) + \\xi \\cdot \\theta_ {r} \\tag {19}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.515, 0.932, 0.54 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.54, 0.71, 0.553 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.553, 0.509, 0.567 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.364, 0.575, 0.932, 0.616 ], "angle": 0, "content": "\\[\nP _ {\\text { accept }} \\left(S ^ {\\prime}, S _ {t}\\right) = \\left\\{ \\begin{array}{l l} 1, & \\text { if } f \\left(S ^ {\\prime}\\right) < f \\left(S _ {t}\\right) \\\\ \\exp \\left(- \\frac {f \\left(S ^ {\\prime}\\right) - f (S _ {t})}{\\tau_ {t}}\\right), & \\text { otherwise } \\end{array} \\right. \\tag {20}\n\\]" }, { "type": "text", "bbox": [ 0.258, 0.629, 0.731, 0.643 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.493, 0.651, 0.932, 0.665 ], "angle": 0, "content": "\\[\n\\tau_ {t + 1} = \\gamma \\cdot \\tau_ {t}, \\gamma \\in (0, 1) \\tag {21}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.677, 0.931, 0.703 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.703, 0.64, 0.717 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.499, 0.726, 0.932, 0.75 ], "angle": 0, "content": "\\[\nS ^ {*} = \\arg \\min _ {t \\in [ 0, T _ {\\max} ]} f (S _ {t}) \\tag {22}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.763, 0.932, 0.828 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.921, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.262, 0.088, 0.309, 0.102 ], "latex": "t _ { i j } \\left( T _ { i } \\right)", "score": 0.9143 }, { "type": "inline_formula", "bbox": [ 0.466, 0.088, 0.519, 0.103 ], "latex": "\\rho _ { \\mathit { i j } } \\left( T _ { \\mathit { i } } \\right)", "score": 0.9181 }, { "type": "inline_formula", "bbox": [ 0.736, 0.102, 0.753, 0.114 ], "latex": "T _ { j }", "score": 0.8623 }, { "type": "inline_formula", "bbox": [ 0.333, 0.152, 0.349, 0.164 ], "latex": "T _ { i }", "score": 0.524 }, { "type": "inline_formula", "bbox": [ 0.618, 0.151, 0.631, 0.164 ], "latex": "i ,", "score": 0.7004 }, { "type": "inline_formula", "bbox": [ 0.668, 0.151, 0.715, 0.164 ], "latex": "\\delta _ { \\textit { i } } ( T _ { i } )", "score": 0.8857 }, { "type": "inline_formula", "bbox": [ 0.745, 0.151, 0.799, 0.165 ], "latex": "\\rho _ { \\mathit { j i } } \\left( T _ { \\mathit { j } } \\right)", "score": 0.9329 }, { "type": "inline_formula", "bbox": [ 0.435, 0.202, 0.478, 0.216 ], "latex": "\\mathcal { A } _ { \\mathrm { s u f f i x } }", "score": 0.8843 }, { "type": "inline_formula", "bbox": [ 0.886, 0.201, 0.929, 0.217 ], "latex": "A _ { \\mathrm { s u f f i x } } ^ { \\mathrm { o l d } }", "score": 0.8936 }, { "type": "inline_formula", "bbox": [ 0.293, 0.311, 0.313, 0.324 ], "latex": "T _ { \\cdot } ^ { \\prime }", "score": 0.8769 }, { "type": "inline_formula", "bbox": [ 0.583, 0.324, 0.629, 0.337 ], "latex": "\\Delta F _ { j i k }", "score": 0.8989 }, { "type": "inline_formula", "bbox": [ 0.438, 0.338, 0.473, 0.351 ], "latex": "\\textit { n } ( t )", "score": 0.5902 }, { "type": "inline_formula", "bbox": [ 0.773, 0.311, 0.791, 0.324 ], "latex": "T .", "score": 0.6442 }, { "type": "inline_formula", "bbox": [ 0.582, 0.337, 0.695, 0.35 ], "latex": "h \\in \\mathsf { \\mathcal { H } } = \\mathcal { D } \\cup \\mathcal { R }", "score": 0.931 }, { "type": "inline_formula", "bbox": [ 0.32, 0.442, 0.336, 0.453 ], "latex": "\\theta _ { \\textrm { i } }", "score": 0.6231 }, { "type": "inline_formula", "bbox": [ 0.337, 0.428, 0.38, 0.441 ], "latex": "\\omega _ { h } \\left( t \\right)", "score": 0.9033 }, { "type": "inline_formula", "bbox": [ 0.403, 0.454, 0.423, 0.466 ], "latex": "\\theta _ { \\textrm { 4 } }", "score": 0.855 }, { "type": "inline_formula", "bbox": [ 0.495, 0.43, 0.509, 0.441 ], "latex": "\\pi", "score": 0.6971 }, { "type": "inline_formula", "bbox": [ 0.581, 0.441, 0.601, 0.454 ], "latex": "\\theta _ { 2 }", "score": 0.8001 }, { "type": "inline_formula", "bbox": [ 0.821, 0.441, 0.842, 0.454 ], "latex": "\\theta _ { 3 }", "score": 0.86 }, { "type": "inline_formula", "bbox": [ 0.297, 0.515, 0.363, 0.528 ], "latex": "\\xi \\in \\mathsf { \\Gamma } ( 0 , 1 )", "score": 0.9022 }, { "type": "inline_formula", "bbox": [ 0.411, 0.54, 0.429, 0.552 ], "latex": "S ^ { \\prime }", "score": 0.8586 }, { "type": "inline_formula", "bbox": [ 0.43, 0.631, 0.451, 0.642 ], "latex": "\\tau _ { \\ t }", "score": 0.8246 }, { "type": "inline_formula", "bbox": [ 0.681, 0.629, 0.73, 0.643 ], "latex": "\\operatorname { E q . } \\left( 2 1 \\right)", "score": 0.569 }, { "type": "inline_formula", "bbox": [ 0.447, 0.691, 0.482, 0.704 ], "latex": "T _ { \\mathrm { s t a l l } }", "score": 0.9068 }, { "type": "inline_formula", "bbox": [ 0.821, 0.678, 0.858, 0.691 ], "latex": "T _ { \\mathrm { m a x } } ,", "score": 0.9123 }, { "type": "inline_formula", "bbox": [ 0.319, 0.776, 0.369, 0.789 ], "latex": "\\delta _ { \\textit { j } } ( \\mathbf { \\breve { { T } } } _ { j } )", "score": 0.9228 }, { "type": "inline_formula", "bbox": [ 0.519, 0.776, 0.573, 0.79 ], "latex": "\\rho _ { \\it i j } \\left( T _ { i } \\right)", "score": 0.9234 }, { "type": "inline_formula", "bbox": [ 0.845, 0.763, 0.889, 0.777 ], "latex": "t _ { i j } \\left( T \\right)", "score": 0.9212 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.15, 0.332, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.349, 0.15, 0.617, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.631, 0.15, 0.667, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.716, 0.15, 0.744, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.799, 0.15, 0.934, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.164, 0.933, 0.178 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.177, 0.932, 0.191 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.252, 0.19, 0.434, 0.229 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.479, 0.19, 0.886, 0.229 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.19, 0.941, 0.229 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.062, 0.934, 0.079 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.075, 0.934, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.087, 0.262, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.31, 0.087, 0.466, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.519, 0.087, 0.911, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.31, 0.293, 0.326 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.314, 0.31, 0.773, 0.326 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.791, 0.31, 0.933, 0.326 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.323, 0.583, 0.338 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.629, 0.323, 0.856, 0.338 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.333, 0.438, 0.353 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.473, 0.333, 0.581, 0.353 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.695, 0.333, 0.935, 0.353 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.348, 0.398, 0.364 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.427, 0.336, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.381, 0.427, 0.494, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.51, 0.427, 0.933, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.44, 0.319, 0.456 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.337, 0.44, 0.58, 0.456 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.602, 0.44, 0.82, 0.456 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.842, 0.44, 0.933, 0.456 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.453, 0.402, 0.468 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.424, 0.453, 0.601, 0.468 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.513, 0.297, 0.531 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.364, 0.513, 0.934, 0.531 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.527, 0.559, 0.542 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.675, 0.82, 0.693 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.859, 0.675, 0.934, 0.693 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.691, 0.447, 0.705 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.483, 0.691, 0.626, 0.705 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.466, 0.51, 0.481 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.921, 0.966, 0.932, 0.978 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.761, 0.845, 0.78 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.89, 0.761, 0.934, 0.78 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.775, 0.318, 0.792 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.369, 0.775, 0.519, 0.792 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.574, 0.775, 0.935, 0.792 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.787, 0.933, 0.805 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.799, 0.936, 0.818 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.813, 0.862, 0.83 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.098, 0.735, 0.117 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.754, 0.098, 0.853, 0.117 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.225, 0.502, 0.243 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.551, 0.51, 0.569 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.701, 0.64, 0.718 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.361, 0.81, 0.378 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.539, 0.411, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.43, 0.539, 0.713, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.627, 0.429, 0.645 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.452, 0.627, 0.681, 0.645 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.73, 0.627, 0.732, 0.645 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.062, 0.533, 0.077 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.089, 0.895, 0.127 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "code_caption", "bbox": [ 0.258, 0.133, 0.439, 0.149 ], "angle": 0, "content": null }, { "type": "algorithm", "bbox": [ 0.257, 0.154, 0.782, 0.417 ], "angle": 0, "content": "1: S_current ← S⁰, S_best ← S⁰\n2: Initialize operator weights ω_h ← 1.0 for all h ∈ D ∪ R\n3: Set initial temperature T₀ ← 0.05 × Z(S⁰)\n4: Set cooling rate α ← 0.99975, learning rate ρ ← 0.1\n5: iter ← 0\n6: While iter < I_max and elapsed_time < T_max Do\n8: // Operator selection using roulette wheel\n9: d_selected ← SelectOperator(D, {ω_d | d ∈ D})\n10: r_selected ← SelectOperator(R, {ω_r | r ∈ R}) // Destroy-repair cycle\n13: q ← Random(q_min, q_max)\n14: C_removed ← d_selected(S_current, q)\n15: S_new ← r_selected(S_current, C_removed)" }, { "type": "code_caption", "bbox": [ 0.258, 0.423, 0.538, 0.438 ], "angle": 0, "content": null }, { "type": "algorithm", "bbox": [ 0.258, 0.444, 0.629, 0.815 ], "angle": 0, "content": "18: Z_new ← EvaluateCost(S_new) //\n// Acceptance decision\n21: T_current ← α^iter × T₀\n22: If Accept(S_new, S_current, T_current) then //\n23: S_current ← S_new\n24: If Z_new < Z(S_best) Then\n25: S_best ← S_new\n26: Reward ← σ₁ // New best solution\n27: Else\n28: Reward ← σ₂ // Improvement\n29: Else\n30: if Z_new ≥ Z(S_current) Then\n31: Reward ← σ₃ // Accepted non-improving\n32: Else\n33: Reward ← σ₄ // Rejected\n34: // Update operator weights every π iterations\n35: If iter mod π = 0 Then" }, { "type": "title", "bbox": [ 0.258, 0.853, 0.454, 0.866 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.866, 0.932, 0.918 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.917, 0.932, 0.945 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.979 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.92, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.597, 0.178, 0.661, 0.193 ], "latex": "\\in \\mathrm { D } \\cup \\mathrm { R }", "score": 0.5307 }, { "type": "inline_formula", "bbox": [ 0.304, 0.929, 0.413, 0.944 ], "latex": "C _ { \\mathrm { r e m o v e d } } \\subset N \\backslash", "score": 0.7543 }, { "type": "inline_formula", "bbox": [ 0.628, 0.93, 0.683, 0.943 ], "latex": "\\hat { h } _ { d } \\in \\mathbf { \\Gamma } \\hat { D }", "score": 0.8403 }, { "type": "inline_formula", "bbox": [ 0.779, 0.917, 0.929, 0.931 ], "latex": "( C _ { \\mathrm { r e m o v e d } } , h _ { d } , h _ { r } , t _ { \\mathrm { i t e r } } ) ,", "score": 0.8348 }, { "type": "inline_formula", "bbox": [ 0.715, 0.93, 0.77, 0.943 ], "latex": "h _ { r } \\in { \\bf \\dot { \\theta } } R", "score": 0.8839 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.062, 0.533, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.421, 0.54, 0.44 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.133, 0.438, 0.149 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.089, 0.895, 0.106 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.11, 0.35, 0.128 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.914, 0.779, 0.933 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.914, 0.934, 0.933 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.928, 0.303, 0.946 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.414, 0.928, 0.628, 0.946 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.684, 0.928, 0.714, 0.946 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.77, 0.928, 0.934, 0.946 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.92, 0.966, 0.932, 0.978 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.864, 0.935, 0.883 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.879, 0.932, 0.893 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.891, 0.933, 0.906 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.255, 0.902, 0.746, 0.921 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.851, 0.454, 0.868 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.058, 0.931, 0.092 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.356, 0.099, 0.932, 0.12 ], "angle": 0, "content": "\\[\n\\left| C _ {\\text { removed }} \\cap \\dot {C} \\right| \\geq \\mu \\cdot \\min \\left(\\left| C _ {\\text { removed }} \\right|, \\left| \\dot {C} \\right|\\right) \\text { and } t _ {\\text { current }} - \\dot {t} \\leq \\tau_ {\\text { move }} \\tag {23}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.131, 0.932, 0.144 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.144, 0.932, 0.171 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.412, 0.179, 0.932, 0.202 ], "angle": 0, "content": "\\[\nH (S) = \\sum_ {k \\in K} \\sum_ {i = 1} ^ {p _ {k} - 1} \\varphi \\left(v _ {k i}, v _ {k (i + 1)}\\right) \\bmod P \\tag {24}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.214, 0.916, 0.228 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.227, 0.932, 0.281 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.284, 0.932, 0.31 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.31, 0.714, 0.324 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.458, 0.331, 0.932, 0.351 ], "angle": 0, "content": "\\[\nF _ {i k} ^ {c v} (t + 1) = F _ {i k} ^ {c v} (t) + 1 _ {\\left[ i \\in R _ {k} \\left(S _ {t + 1}\\right) \\right]} \\tag {25}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.363, 0.932, 0.389 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.389, 0.932, 0.416 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.427, 0.425, 0.932, 0.448 ], "angle": 0, "content": "\\[\nF _ {i j} ^ {t p} (t + 1) = F _ {i j} ^ {t p} (t) + \\sum_ {k \\in K} 1 _ {\\left[ v _ {k j} = i \\text { in } S _ {t + 1} \\right]} \\tag {26}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.46, 0.826, 0.475 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.378, 0.482, 0.932, 0.514 ], "angle": 0, "content": "\\[\n\\delta (t) = \\omega_ {1} \\cdot \\frac {t - t _ {\\text { last\\_best}}}{T _ {\\max}} + \\omega_ {2} \\cdot \\frac {| T _ {\\text { move }} |}{| T _ {\\text { move }} | _ {\\max}} + \\omega_ {3} \\cdot \\sigma (F ^ {c v}) \\tag {27}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.525, 0.932, 0.566 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.422, 0.573, 0.932, 0.605 ], "angle": 0, "content": "\\[\np _ {h} ^ {\\prime} (t) = \\eta \\cdot p _ {h} (t) + (1 - \\eta) \\cdot \\frac {\\operatorname{div} _ {h} (t)}{\\sum_ {j \\in H} \\operatorname{div} _ {j} (t)} \\tag {28}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.616, 0.932, 0.642 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.642, 0.894, 0.656 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.279, 0.656, 0.435, 0.667 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.681, 0.391, 0.693 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.693, 0.711, 0.707 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.525, 0.715, 0.932, 0.734 ], "angle": 0, "content": "\\[\nf \\left(S ^ {\\prime}\\right) < f \\left(S ^ {*}\\right) \\tag {29}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.747, 0.931, 0.761 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.48, 0.768, 0.932, 0.799 ], "angle": 0, "content": "\\[\n\\min _ {i \\in C _ {\\text { removed }}} \\min _ {k \\in K} F _ {i k} ^ {c v} < \\beta \\cdot \\vec {F} ^ {c v} \\tag {30}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.805, 0.64, 0.828 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.831, 0.832, 0.845 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.295, 0.853, 0.932, 0.877 ], "angle": 0, "content": "\\[\n\\sum_ {k \\in K} \\sum_ {(i, j) \\in A _ {k}} \\lambda_ {2} \\rho_ {i j} \\left(T _ {i} ^ {k}\\right) < \\gamma \\sum_ {k \\in K} \\sum_ {(i, j) \\in A _ {k} ^ {\\text { current }}} \\lambda_ {2} \\rho_ {i j} \\left(T _ {i} ^ {k, \\text { current }}\\right) \\tag {31}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.889, 0.557, 0.902 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.902, 0.932, 0.928 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.352, 0.062, 0.379, 0.074 ], "latex": "t _ { \\mathrm { i t e r } }", "score": 0.907 }, { "type": "inline_formula", "bbox": [ 0.278, 0.079, 0.317, 0.092 ], "latex": "\\tau _ { \\mathrm { m o v e } }", "score": 0.9144 }, { "type": "inline_formula", "bbox": [ 0.845, 0.058, 0.929, 0.076 ], "latex": "\\left( \\acute { C } , \\acute { h } _ { d } , \\acute { h } _ { r } , \\acute { t } \\right)", "score": 0.9409 }, { "type": "inline_formula", "bbox": [ 0.302, 0.131, 0.368, 0.145 ], "latex": "\\mu \\in \\ [ 0 , 1 ]", "score": 0.9341 }, { "type": "inline_formula", "bbox": [ 0.605, 0.133, 0.648, 0.144 ], "latex": "\\tau _ { \\mathrm { ~ m o v e ~ } }", "score": 0.9068 }, { "type": "inline_formula", "bbox": [ 0.49, 0.144, 0.516, 0.157 ], "latex": "T _ { \\mathrm { s o l } }", "score": 0.8887 }, { "type": "inline_formula", "bbox": [ 0.302, 0.215, 0.353, 0.228 ], "latex": "\\varphi \\left( u , v \\right)", "score": 0.9217 }, { "type": "inline_formula", "bbox": [ 0.413, 0.227, 0.432, 0.239 ], "latex": "S ^ { \\prime }", "score": 0.8622 }, { "type": "inline_formula", "bbox": [ 0.499, 0.227, 0.593, 0.241 ], "latex": "\\mathbf { \\dot { \\zeta } } H \\left( S ^ { \\prime } \\right) \\in \\mathcal { T } _ { \\mathrm { s o l } }", "score": 0.9346 }, { "type": "inline_formula", "bbox": [ 0.746, 0.215, 0.761, 0.227 ], "latex": "P", "score": 0.7154 }, { "type": "inline_formula", "bbox": [ 0.8, 0.23, 0.83, 0.241 ], "latex": "\\tau _ { \\mathrm { \\ s o l } }", "score": 0.8915 }, { "type": "inline_formula", "bbox": [ 0.802, 0.241, 0.82, 0.253 ], "latex": "P ,", "score": 0.8258 }, { "type": "inline_formula", "bbox": [ 0.261, 0.265, 0.455, 0.282 ], "latex": "\\vert T _ { s o l } \\vert = \\mathrm { m i n } \\left( 1 0 0 0 , \\dot { 2 } ^ { \\lceil \\log _ { 2 } ( n ) \\rceil } \\right)", "score": 0.9395 }, { "type": "inline_formula", "bbox": [ 0.713, 0.364, 0.744, 0.377 ], "latex": "S _ { t + 1 }", "score": 0.8926 }, { "type": "inline_formula", "bbox": [ 0.262, 0.404, 0.274, 0.416 ], "latex": "j", "score": 0.5512 }, { "type": "inline_formula", "bbox": [ 0.571, 0.389, 0.597, 0.401 ], "latex": "F ^ { t p }", "score": 0.8964 }, { "type": "inline_formula", "bbox": [ 0.669, 0.46, 0.703, 0.474 ], "latex": "\\delta \\ ( t )", "score": 0.5236 }, { "type": "inline_formula", "bbox": [ 0.305, 0.527, 0.366, 0.539 ], "latex": "t _ { l a s t b e s t }", "score": 0.9243 }, { "type": "inline_formula", "bbox": [ 0.443, 0.54, 0.575, 0.552 ], "latex": "\\omega _ { \\textrm { 1 } } + \\omega _ { \\textrm { 2 } } + \\omega _ { \\textrm { 3 } } = 1", "score": 0.8607 }, { "type": "inline_formula", "bbox": [ 0.586, 0.526, 0.641, 0.539 ], "latex": "\\sigma \\ ( F ^ { c v } )", "score": 0.9174 }, { "type": "inline_formula", "bbox": [ 0.6, 0.539, 0.684, 0.553 ], "latex": "\\delta \\mathit { \\Omega } \\left( t \\right) > \\delta _ { \\mathrm { m a x } }", "score": 0.8973 }, { "type": "inline_formula", "bbox": [ 0.302, 0.617, 0.368, 0.63 ], "latex": "\\eta ~ \\in ~ [ 0 , 1 ]", "score": 0.9187 }, { "type": "inline_formula", "bbox": [ 0.762, 0.617, 0.813, 0.631 ], "latex": "d i v _ { h } \\left( t \\right)", "score": 0.9031 }, { "type": "inline_formula", "bbox": [ 0.3, 0.813, 0.32, 0.826 ], "latex": "\\overline { F }", "score": 0.7052 }, { "type": "inline_formula", "bbox": [ 0.565, 0.814, 0.634, 0.827 ], "latex": "\\beta \\in \\mathsf { \\Gamma } ( 0 , 1 )", "score": 0.9109 }, { "type": "inline_formula", "bbox": [ 0.302, 0.89, 0.37, 0.902 ], "latex": "{ \\boldsymbol { \\gamma } } \\in \\mathbf { \\Sigma } ( 0 , 1 )", "score": 0.9142 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.311, 0.805, 0.328, 0.814 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.813, 0.3, 0.828 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.321, 0.813, 0.565, 0.828 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.635, 0.813, 0.64, 0.828 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.641, 0.896, 0.657 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.057, 0.352, 0.077 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.38, 0.057, 0.844, 0.077 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.057, 0.932, 0.077 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.077, 0.277, 0.093 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.077, 0.433, 0.093 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.213, 0.302, 0.23 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.354, 0.213, 0.745, 0.23 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.762, 0.213, 0.918, 0.23 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.387, 0.571, 0.405 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.597, 0.387, 0.934, 0.405 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.274, 0.402, 0.51, 0.417 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.615, 0.302, 0.632 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.369, 0.615, 0.762, 0.632 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.814, 0.615, 0.933, 0.632 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.629, 0.437, 0.643 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.746, 0.932, 0.763 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.888, 0.301, 0.904 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.371, 0.888, 0.558, 0.904 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.13, 0.301, 0.147 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.368, 0.13, 0.604, 0.147 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.648, 0.13, 0.934, 0.147 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.142, 0.49, 0.16 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.517, 0.142, 0.935, 0.16 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.157, 0.874, 0.172 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.283, 0.934, 0.3 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.297, 0.381, 0.312 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.362, 0.713, 0.379 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.745, 0.362, 0.934, 0.379 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.376, 0.453, 0.391 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.523, 0.304, 0.54 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.367, 0.523, 0.586, 0.54 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.642, 0.523, 0.935, 0.54 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.538, 0.442, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.576, 0.538, 0.599, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.685, 0.538, 0.933, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.551, 0.541, 0.567 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.899, 0.932, 0.919 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.914, 0.655, 0.93 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.655, 0.437, 0.669 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.679, 0.392, 0.695 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.224, 0.412, 0.243 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.432, 0.224, 0.499, 0.243 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.594, 0.224, 0.8, 0.243 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.831, 0.224, 0.934, 0.243 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.241, 0.801, 0.254 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.82, 0.241, 0.933, 0.254 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.253, 0.934, 0.268 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.263, 0.26, 0.283 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.456, 0.263, 0.799, 0.283 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.459, 0.668, 0.477 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.704, 0.459, 0.827, 0.477 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.83, 0.834, 0.847 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.308, 0.715, 0.327 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.691, 0.713, 0.709 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "equation", "bbox": [ 0.267, 0.062, 0.932, 0.089 ], "angle": 0, "content": "\\[\n\\tau_ {\\text { move }} (t + 1) = \\left\\{ \\begin{array}{l l} \\min \\left(\\tau_ {\\text { move }} (t) + 1, \\tau_ {\\max}\\right) & \\text { If there is no improvement in the last } \\tau_ {\\text { stall iterations }} \\\\ \\max \\left(\\tau_ {\\text { move }} (t) - 1, \\tau_ {\\min}\\right) & \\text { If improvement found } \\end{array} \\right. \\tag {32}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.1, 0.932, 0.128 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.468, 0.134, 0.932, 0.15 ], "angle": 0, "content": "\\[\nF _ {i k} ^ {c v} \\leftarrow \\left\\lfloor F _ {i k} ^ {c v} / \\kappa \\right\\rfloor \\text { every } \\nu \\text { iterations } \\tag {33}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.162, 0.576, 0.175 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.175, 0.931, 0.202 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.349, 0.21, 0.932, 0.236 ], "angle": 0, "content": "\\[\nF _ {i k} ^ {c v} (t + 1) = F _ {i k} ^ {c v} (t) + 1 _ {\\left[ i \\in R _ {k} \\left(S _ {t + 1}\\right) \\right]} \\cdot \\left(1 + \\sum_ {j: (j, i) \\in A _ {k}} \\rho_ {j i} \\left(T _ {j} ^ {k}\\right)\\right) \\tag {34}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.248, 0.932, 0.3 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.3, 0.932, 0.39 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "image", "bbox": [ 0.118, 0.651, 0.932, 0.911 ], "angle": 0, "content": "```mermaid\ngraph TD\n A[\"0\"] --> B[\"1\"]\n A --> C[\"2\"]\n A --> D[\"3\"]\n A --> E[\"4\"]\n A --> F[\"5\"]\n B --> G[\"d₁ = 5 [8:00, 10:00\"]]\n C --> H[\"d₂ = 8 [9:00, 11:30\"]]\n D --> I[\"d₃ = 3 [10:30, 12:00\"]]\n E --> J[\"d₄ = 6 [11:00, 13:00\"]]\n F --> K[\"d₅ = 4 [12:00, 14:00\"]]\n G --> L[\"×\"]\n H --> M[\"×\"]\n I --> N[\"×\"]\n J --> O[\"×\"]\n K --> P[\"×\"]\n L --> Q[\"Occupied Route: Vehicle 1: 0 → 1 → 5 → 0; Vehicle 2: 0 → 2 → 3 → 4 → 0\"]\n M --> R[\"Occupied Route: Vehicle 2: F=1; Vehicle 3: F=5; Vehicle 4: F=1; Vehicle 5: F=0; Low Frequency → High Frequency\"]\n N --> S[\"Occupied Route: Vehicle 1: F=3; Vehicle 2: F=1; Vehicle 3: F=5; Vehicle 4: F=1; Vehicle 5: F=0; Low Frequency → High Frequency\"]\n style A fill:#ffcccc,stroke:#333\n style B fill:#ffcccc,stroke:#333\n style C fill:#ffcccc,stroke:#333\n style D fill:#ffcccc,stroke:#333\n style E fill:#ffcccc,stroke:#333\n style F fill:#ffcccc,stroke:#333\n style G fill:#ffcccc,stroke:#333\n style H fill:#ffcccc,stroke:#333\n style I fill:#ffcccc,stroke:#333\n style J fill:#ffcccc,stroke:#333\n style K fill:#ffcccc,stroke:#333\n style L fill:#ffcccc,stroke:#333\n style M fill:#ffcccc,stroke:#333\n style N fill:#ffcccc,stroke:#333\n style O fill:#ffcccc,stroke:#333\n style P fill:#ffcccc,stroke:#333\n style Q fill:#ffcccc,stroke:#333\n style R fill:#ffcccc,stroke:#333\n style S fill:#ffcccc,stroke:#333\n```", "sub_type": "flowchart" }, { "type": "image_caption", "bbox": [ 0.257, 0.922, 0.49, 0.937 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.93, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.42, 0.163, 0.463, 0.174 ], "latex": "\\kappa > 1", "score": 0.7594 }, { "type": "inline_formula", "bbox": [ 0.293, 0.325, 0.443, 0.338 ], "latex": "( 1 3 , 2 4 , 4 \\stackrel { . } { } 5 )", "score": 0.8386 }, { "type": "inline_formula", "bbox": [ 0.611, 0.324, 0.638, 0.337 ], "latex": "\\check { F } ^ { c v }", "score": 0.7387 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.298, 0.934, 0.314 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.311, 0.934, 0.327 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.323, 0.292, 0.341 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.444, 0.323, 0.611, 0.341 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.639, 0.323, 0.936, 0.341 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.335, 0.935, 0.355 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.351, 0.934, 0.366 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.362, 0.935, 0.379 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.375, 0.721, 0.391 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.098, 0.934, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.113, 0.529, 0.127 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.172, 0.934, 0.191 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.186, 0.316, 0.205 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.159, 0.419, 0.178 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.463, 0.159, 0.579, 0.178 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.247, 0.932, 0.263 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.26, 0.934, 0.276 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.272, 0.935, 0.289 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.286, 0.41, 0.302 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.921, 0.491, 0.938 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.062, 0.547, 0.077 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.089, 0.893, 0.127 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.133, 0.435, 0.149 ], "angle": 0, "content": null }, { "type": "list", "bbox": [ 0.258, 0.155, 0.869, 0.816 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.259, 0.155, 0.483, 0.171 ], "angle": 0, "content": "1: S_current ← S⁰, S_best ← S⁰", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.178, 0.659, 0.193 ], "angle": 0, "content": "2: Initialize operator weights \\(\\omega_{h} \\leftarrow 1.0\\) for all \\(h \\in D \\cup R\\)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.2, 0.457, 0.214 ], "angle": 0, "content": "3: Initialize Tabu structures:", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.222, 0.563, 0.237 ], "angle": 0, "content": "4: T move ← ∅ // Move-based Tabu list", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.245, 0.602, 0.261 ], "angle": 0, "content": "5: T_sol ← ∅ // Solution-based Tabu memory", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.267, 0.697, 0.283 ], "angle": 0, "content": "6: F^cv ← zeros(n, m) // Customer-vehicle frequency matrix", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.289, 0.695, 0.305 ], "angle": 0, "content": "7: F^tp ← zeros(n, n) // Temporal position frequency matrix", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.312, 0.54, 0.327 ], "angle": 0, "content": "8: Set parameters: \\(\\tau\\) _move, \\(\\tau\\) _sol, \\(\\mu\\), \\(\\beta\\), \\(\\gamma\\)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.334, 0.455, 0.35 ], "angle": 0, "content": "9: iter ← 0, t_last_best ← 0", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.356, 0.867, 0.393 ], "angle": 0, "content": "10: while iter \\(< \\mathrm{I\\_max}\\) and elapsed_time \\(< \\mathrm{T\\_max}\\) do // Calculate diversification intensity using Equation (26)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.4, 0.861, 0.437 ], "angle": 0, "content": "13: \\( \\delta_{current} \\leftarrow \\) CalculateDiversification(iter, t_last_best, T_move, F^cv) // Modified operator selection for diversification", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.444, 0.481, 0.46 ], "angle": 0, "content": "16: if δ_current > δ_max then", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.466, 0.791, 0.483 ], "angle": 0, "content": "17: p'_h ← ModifyProbabilities(ω_h, F^cv, F^tp) // Using Equation (27)", "merge_prev": false }, { "type": "text", "bbox": [ 0.26, 0.488, 0.332, 0.502 ], "angle": 0, "content": "18: else", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.51, 0.629, 0.526 ], "angle": 0, "content": "19: \\( p'_{h} \\leftarrow \\omega_{h} / \\Sigma \\omega_{h} // Standard probabilities \\)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.533, 0.454, 0.547 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.555, 0.412, 0.569 ], "angle": 0, "content": "22: candidates ← ∅", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.577, 0.55, 0.593 ], "angle": 0, "content": "23: for attempt ← 1 to max_attempts do", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.599, 0.647, 0.616 ], "angle": 0, "content": "24: d_selected ← SelectOperator(D, {p'_d | d ∈ D})", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.622, 0.637, 0.639 ], "angle": 0, "content": "25: r_selected ← SelectOperator(R, {p'_r | r ∈ R})", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.644, 0.521, 0.661 ], "angle": 0, "content": "26: q ← Random(q_min, q_max)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.666, 0.591, 0.683 ], "angle": 0, "content": "28: C_removed ← d_selected(S_current, q)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.688, 0.631, 0.705 ], "angle": 0, "content": "29: move ← (C_removed, d_selected, r_selected)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.71, 0.539, 0.726 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.732, 0.737, 0.749 ], "angle": 0, "content": "32: is_tabu ← CheckTabuStatus(move, T_move, μ, τ_move, iter)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.755, 0.685, 0.771 ], "angle": 0, "content": "33: 34: S_new ← r_selected(S_current, C_removed)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.777, 0.727, 0.793 ], "angle": 0, "content": "35: hash_new ← ComputeHash(S_new) // Using Equation (23)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.8, 0.441, 0.815 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.853, 0.86, 0.867 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.867, 0.932, 0.905 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.28, 0.905, 0.838, 0.918 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.283, 0.918, 0.913, 0.93 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.283, 0.93, 0.787, 0.944 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.979 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.31, 0.542, 0.329 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.643, 0.289, 0.661 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.644, 0.524, 0.662 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.709, 0.54, 0.728 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.178, 0.66, 0.194 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.51, 0.289, 0.527 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.314, 0.509, 0.632, 0.527 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.599, 0.288, 0.616 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.598, 0.648, 0.617 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.621, 0.288, 0.639 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.622, 0.638, 0.639 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.687, 0.289, 0.706 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.316, 0.688, 0.632, 0.706 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.486, 0.336, 0.506 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.133, 0.437, 0.149 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.199, 0.458, 0.216 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.332, 0.456, 0.351 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.532, 0.456, 0.549 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.799, 0.442, 0.816 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.089, 0.894, 0.106 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.11, 0.349, 0.128 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.354, 0.867, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.379, 0.398, 0.396 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.399, 0.862, 0.416 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.423, 0.511, 0.438 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.852, 0.862, 0.869 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.866, 0.934, 0.881 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.879, 0.932, 0.892 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.89, 0.93, 0.907 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.062, 0.547, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.222, 0.565, 0.239 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.576, 0.552, 0.594 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.903, 0.84, 0.92 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.155, 0.484, 0.171 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.443, 0.482, 0.461 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.243, 0.604, 0.263 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.665, 0.29, 0.683 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.664, 0.593, 0.685 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.466, 0.29, 0.483 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.312, 0.466, 0.793, 0.484 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.265, 0.7, 0.285 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.288, 0.696, 0.306 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.753, 0.294, 0.772 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.314, 0.753, 0.351, 0.772 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.376, 0.755, 0.686, 0.772 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.731, 0.289, 0.75 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.315, 0.731, 0.739, 0.751 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.776, 0.288, 0.794 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.316, 0.776, 0.729, 0.795 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.554, 0.415, 0.572 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.915, 0.916, 0.933 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.927, 0.79, 0.947 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.281, 0.062, 0.84, 0.076 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.281, 0.076, 0.76, 0.088 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.088, 0.934, 0.14 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.325, 0.148, 0.932, 0.175 ], "angle": 0, "content": "\\[\n\\Psi (e, t) = \\alpha_ {e} \\cdot \\frac {t _ {\\text {deadline}} - t _ {\\text {current}}}{t _ {\\text {horizon}}} + \\beta_ {e} \\cdot \\text {impact} (e) + \\gamma_ {e} \\cdot \\text {cost\\_increase} (e) \\tag {35}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.187, 0.932, 0.226 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.226, 0.932, 0.315 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.315, 0.932, 0.397 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.397, 0.876, 0.412 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.266, 0.419, 0.932, 0.442 ], "angle": 0, "content": "\\[\nV ^ {\\text { rollout }} (s, a, H) = \\mathbb {E} \\left[ \\sum_ {h = 0} ^ {H - 1} \\left(\\sum_ {k \\in K} \\sum_ {(i, j) \\in A _ {k} ^ {h}} \\left[ t _ {i j} \\left(T _ {i} ^ {k, h}\\right) + \\lambda_ {2} \\rho_ {i j} \\left(T _ {i} ^ {k, h}\\right) \\right] + \\lambda_ {1} \\sum_ {j \\in C ^ {h}} \\delta_ {j} \\left(S _ {j} ^ {h}\\right)\\right) \\right], \\tag {36}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.453, 0.932, 0.48 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.48, 0.932, 0.531 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.531, 0.713, 0.545 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.323, 0.553, 0.932, 0.587 ], "angle": 0, "content": "\\[\n\\text { Feasible } (a, s) = \\bigwedge_ {k \\in K} \\left[ \\sum_ {i \\in R _ {k} ^ {a}} d _ {i} \\leq Q \\right] \\wedge \\bigwedge_ {i \\in N ^ {a}} \\left[ e _ {i} \\leq T _ {i} ^ {a} \\leq l _ {i} + \\epsilon_ {\\text { tolerance }} \\right] \\tag {37}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.599, 0.931, 0.625 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.625, 0.931, 0.653 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "image", "bbox": [ 0.117, 0.706, 0.932, 0.911 ], "angle": 0, "content": "```mermaid\ngraph TD\n A[\"0\"] -->|d1=5[\"8:00, 10:00\"]| B[\"1\"]\n A -->|d2=8[\"9:00, 11:30\"]| C[\"2\"]\n A -->|d3=3[\"10:30, 12:00\"]| D[\"3\"]\n A -->|d4=6[\"11:00, 13:00\"]| E[\"4\"]\n A -->|d5=4[\"12:00, 14:00\"]| F[\"5\"]\n B --> G[\"Customer nodes\"]\n C --> H[\"Traffic Incident\"]\n D --> I[\"Customer at risk\"]\n E --> J[\"Traffic Incident\"]\n F --> K[\"Possible arcs\"]\n G --> L[\"Event Detection Event Type: E1 Critical Traffic Incident Location: Arc (2,4) Time: 10:45 AM Urgency Score: Ψ(e,t) = 0.85\"]\n H --> M[\"Urgency Calculation Ψ(e,t) = α · (t_deadline - t_current)/t_horizon +β-impact(e) +γ cost_increase(e) Parameters: α = 0.4,β = 0.3,γ = 0.3 Time factor: 0.25 Impact factor: 0.35 Cost factor: 0.25 Total: 0.85 (CRITICAL)\"]\n I --> N[\"Impact Assessment Affected Components: Vehicle 2 route blocked on arc (2,4) Customer 4 delivery at risk Time window: 45 minutes remaining\"]\n J --> O[\"Available Options: Alternative routes available Vehicle capacity: sufficient Customer reassignment possible\"]\n K --> P[\"Action Required: IMMEDIATE DISPATCH\"]\n L --> Q[\"Event Classification Framework E1 : Critical Traffic Incidents Road closures, accidents, severe congestion E2 : Urgent Delivery Insertions High-priority orders with tight time windows E3 : Vehicle Capacity Violations Dynamic demand exceeding capacity E4 : Service Time Violations Accumulated delays threatening compliance\"]\n M --> Q\n N --> Q\n O --> Q\n P --> Q\n Q --> R[\"Possible arcs\"]\n Q --> S[\"Traffic Incident\"]\n```", "sub_type": "flowchart" }, { "type": "image_caption", "bbox": [ 0.257, 0.923, 0.45, 0.937 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.285, 0.063, 0.304, 0.075 ], "latex": "E _ { 3 }", "score": 0.8146 }, { "type": "inline_formula", "bbox": [ 0.284, 0.075, 0.303, 0.088 ], "latex": "E _ { 4 }", "score": 0.8603 }, { "type": "inline_formula", "bbox": [ 0.381, 0.101, 0.522, 0.114 ], "latex": "e \\in \\{ E 1 , \\bar { E } 2 , E 3 , E 4 \\}", "score": 0.9331 }, { "type": "inline_formula", "bbox": [ 0.881, 0.114, 0.93, 0.127 ], "latex": "\\Psi \\left( e , t \\right)", "score": 0.8651 }, { "type": "inline_formula", "bbox": [ 0.306, 0.189, 0.381, 0.201 ], "latex": "\\alpha _ { \\textit { e } } , \\beta _ { \\textit { e } } , \\gamma _ { \\textit { e } }", "score": 0.9191 }, { "type": "inline_formula", "bbox": [ 0.262, 0.201, 0.311, 0.214 ], "latex": "t _ { \\mathrm { h o r i z o n } }", "score": 0.811 }, { "type": "inline_formula", "bbox": [ 0.651, 0.19, 0.703, 0.201 ], "latex": "t _ { \\mathrm { d e a d l i n e } }", "score": 0.8385 }, { "type": "inline_formula", "bbox": [ 0.521, 0.239, 0.551, 0.252 ], "latex": "^ { ( 3 , 4 ) }", "score": 0.6458 }, { "type": "inline_formula", "bbox": [ 0.7, 0.239, 0.852, 0.251 ], "latex": "0 2 3 4 0 ,", "score": 0.9125 }, { "type": "inline_formula", "bbox": [ 0.537, 0.264, 0.556, 0.277 ], "latex": "E _ { 1 }", "score": 0.6571 }, { "type": "inline_formula", "bbox": [ 0.817, 0.252, 0.88, 0.264 ], "latex": "( e , t ) = 0", "score": 0.7932 }, { "type": "inline_formula", "bbox": [ 0.262, 0.341, 0.428, 0.357 ], "latex": "A _ { e } = \\left\\{ a _ { 1 } , \\overline { { { a } } } _ { 2 } , \\ldots , a _ { \\left| A _ { e } \\right| } \\right\\}", "score": 0.9431 }, { "type": "inline_formula", "bbox": [ 0.433, 0.359, 0.484, 0.372 ], "latex": "H _ { \\mathrm { r o l l o u t } }", "score": 0.9153 }, { "type": "inline_formula", "bbox": [ 0.779, 0.331, 0.793, 0.341 ], "latex": "e ,", "score": 0.5312 }, { "type": "inline_formula", "bbox": [ 0.443, 0.397, 0.551, 0.411 ], "latex": "V ^ { \\mathrm { r o l l o u t } } \\left( s , a , H \\right)", "score": 0.931 }, { "type": "inline_formula", "bbox": [ 0.666, 0.4, 0.681, 0.411 ], "latex": "^ { a , }", "score": 0.5181 }, { "type": "inline_formula", "bbox": [ 0.303, 0.454, 0.325, 0.468 ], "latex": "\\mathrm { A _ { k } ^ { h } }", "score": 0.8895 }, { "type": "inline_formula", "bbox": [ 0.685, 0.454, 0.705, 0.466 ], "latex": "\\mathrm { C ^ { h } }", "score": 0.8871 }, { "type": "inline_formula", "bbox": [ 0.261, 0.493, 0.293, 0.506 ], "latex": "( E _ { 1 } )", "score": 0.6978 }, { "type": "inline_formula", "bbox": [ 0.356, 0.532, 0.406, 0.544 ], "latex": "a \\in \\ A _ { e }", "score": 0.906 }, { "type": "inline_formula", "bbox": [ 0.578, 0.505, 0.61, 0.518 ], "latex": "( E _ { 2 } )", "score": 0.8772 }, { "type": "inline_formula", "bbox": [ 0.304, 0.6, 0.325, 0.613 ], "latex": "R _ { k } ^ { a }", "score": 0.8494 }, { "type": "inline_formula", "bbox": [ 0.323, 0.614, 0.391, 0.626 ], "latex": "\\epsilon _ { \\mathrm { t o l e r a n c e } } \\mathrm { a }", "score": 0.8965 }, { "type": "inline_formula", "bbox": [ 0.563, 0.6, 0.602, 0.612 ], "latex": "k , N ^ { a }", "score": 0.8822 }, { "type": "inline_formula", "bbox": [ 0.595, 0.626, 0.612, 0.638 ], "latex": "A _ { \\epsilon }", "score": 0.5253 }, { "type": "inline_formula", "bbox": [ 0.779, 0.6, 0.799, 0.613 ], "latex": "T _ { i } ^ { a }", "score": 0.8716 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.921, 0.452, 0.939 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.392, 0.443, 0.414 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.552, 0.392, 0.665, 0.414 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.682, 0.392, 0.878, 0.414 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.226, 0.934, 0.24 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.237, 0.52, 0.254 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.551, 0.237, 0.7, 0.254 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.853, 0.237, 0.935, 0.254 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.251, 0.816, 0.267 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.88, 0.251, 0.935, 0.267 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.264, 0.536, 0.279 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.557, 0.264, 0.934, 0.279 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.276, 0.934, 0.292 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.29, 0.934, 0.304 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.302, 0.874, 0.317 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.186, 0.305, 0.203 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.381, 0.186, 0.65, 0.203 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.704, 0.186, 0.934, 0.203 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.311, 0.2, 0.933, 0.216 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.213, 0.624, 0.228 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.598, 0.304, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.325, 0.598, 0.563, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.602, 0.598, 0.778, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.8, 0.598, 0.934, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.612, 0.323, 0.628 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.392, 0.612, 0.607, 0.628 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.623, 0.594, 0.64 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.612, 0.623, 0.935, 0.64 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.637, 0.765, 0.654 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.45, 0.302, 0.471 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.325, 0.45, 0.684, 0.471 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.706, 0.45, 0.935, 0.471 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.467, 0.922, 0.482 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.087, 0.935, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.1, 0.381, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.523, 0.1, 0.933, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.113, 0.881, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.113, 0.932, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.126, 0.461, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.479, 0.935, 0.496 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.294, 0.492, 0.935, 0.508 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.505, 0.577, 0.52 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.611, 0.505, 0.934, 0.52 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.517, 0.736, 0.533 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.06, 0.284, 0.079 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.305, 0.06, 0.842, 0.079 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.528, 0.356, 0.547 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.407, 0.528, 0.713, 0.547 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.304, 0.074, 0.761, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.313, 0.934, 0.33 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.328, 0.779, 0.343 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.793, 0.328, 0.934, 0.343 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.429, 0.341, 0.934, 0.359 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.359, 0.433, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.484, 0.359, 0.933, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.372, 0.933, 0.387 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.384, 0.547, 0.399 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "list", "bbox": [ 0.257, 0.063, 0.932, 0.231 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.063, 0.932, 0.102 ], "angle": 0, "content": "- Traffic Incident \\((E_{1})\\) - Local Reroute: Up to \\(K_{s} = 5\\) FIFO-consistent \\(k\\)-shortest-time detours are enumerated on the affected subgraph using a time-dependent Dijkstra variant. Detours respect the budget \\(\\Delta_{\\max} = 8\\) minutes, with congestion weights \\(\\rho_{ij}(T_i)\\) from Eq. (1).", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.102, 0.932, 0.14 ], "angle": 0, "content": "- Traffic Incident \\((E_{1})\\) - Customer Reassignment: Donor vehicles lie within \\(3\\mathrm{km}\\) and \\(\\leq 10\\mathrm{min}\\) ETA spread; receivers require residual capacity and \\(\\geq 6\\mathrm{min}\\) slack. For each feasible vehicle, top- \\(r = 2\\) regret positions are chosen by Eq. (16).", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.14, 0.932, 0.178 ], "angle": 0, "content": "- Urgent Delivery \\((E_2)\\) - Insert/Subcontract: For each vehicle, the top- \\(r\\) insertion positions by Eq. (16) are tested. Delayed variants allow up to 30 30-minute service shifts, penalized by \\(\\lambda_1\\delta_j(\\cdot)\\) from Eq. (1). If all vehicles fail Eq. (36), a subcontract option is added.", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.178, 0.932, 0.204 ], "angle": 0, "content": "- Capacity Violation \\((E_3)\\)-Load Redistribution: Smallest feasible subsets of impending stops are transferred greedily (Eq. 16) to the nearest vehicle with sufficient capacity, capped at three transfers per dispatch call.", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.204, 0.931, 0.231 ], "angle": 0, "content": "- Time Violation \\((E_4)\\)-Accelerate/Relax: Local resequencing (e.g., 2-opt swaps improving Eq. 16) is attempted; if infeasible, temporary tolerance \\(\\epsilon_{\\mathrm{tolerance}}\\) in Eq. (36) is applied, with lateness penalized by \\(\\lambda_1\\delta_j(\\cdot)\\).", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.24, 0.876, 0.254 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.277, 0.254, 0.717, 0.266 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "list", "bbox": [ 0.257, 0.276, 0.926, 0.316 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.276, 0.925, 0.29 ], "angle": 0, "content": "1. Traffic realizations from time-indexed tensors with uncertainty \\(\\eta_{ij}(h)\\) per Eq. (10), parameterized by \\(\\beta\\).", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.29, 0.91, 0.303 ], "angle": 0, "content": "2. Incident clearance times from an empirical mixture (short mean \\( \\approx \\) 12min; long-tail mean \\( \\approx \\) 35min).", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.303, 0.555, 0.316 ], "angle": 0, "content": "3. Urgent-order arrivals as \\( N(0,3\\text{min}) \\) offsets.", "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.325, 0.932, 0.352 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.352, 0.932, 0.403 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.403, 0.932, 0.441 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.436, 0.45, 0.932, 0.476 ], "angle": 0, "content": "\\[\nt _ {i j} ^ {\\text { rollout }} \\left(T _ {i} + s\\right) = t _ {i j} ^ {(r)} + \\frac {s}{\\Delta t} \\left(t _ {i j} ^ {(r + 1)} - t _ {i j} ^ {(r)}\\right) \\tag {38}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.487, 0.932, 0.551 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.553, 0.931, 0.579 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.579, 0.931, 0.603 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.604, 0.507, 0.618 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.291, 0.626, 0.932, 0.643 ], "angle": 0, "content": "\\[\nV ^ {\\text { adjusted }} (s, a, H) = V ^ {\\text { rollout }} (s, a, H) - \\tau_ {\\text { penalty }} \\cdot 1 _ {[ \\text { Tabu } (a) ]} + \\tau_ {\\text { bonus }} \\cdot \\text { Diversification } (a) \\tag {39}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.656, 0.931, 0.681 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.682, 0.931, 0.71 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.315, 0.719, 0.932, 0.735 ], "angle": 0, "content": "\\[\n\\Sigma (a, e, s) = \\omega_ {1} \\cdot V ^ {\\text { adjusted }} (s, a, H) + \\omega_ {2} \\cdot \\text { Stability } (a, s) + \\omega_ {3} \\cdot \\text { Recovery } (a, s) \\tag {40}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.747, 0.815, 0.762 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.455, 0.769, 0.932, 0.8 ], "angle": 0, "content": "\\[\n\\text { Stability } (a, s) = \\sum_ {k \\in K} \\frac {\\left| R _ {k} ^ {a} \\cap R _ {k} ^ {s} \\right|}{\\left| R _ {k} ^ {a} \\cup R _ {k} ^ {s} \\right|} \\tag {41}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.812, 0.857, 0.827 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.295, 0.835, 0.932, 0.857 ], "angle": 0, "content": "\\[\n\\operatorname{Recovery} (a, s) = - \\sum_ {k \\in K} \\sum_ {i \\in R _ {k} ^ {a}} | \\text { OptimalPosition } (i) - \\text { CurrentPosition } (i, a) | \\tag {42}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.869, 0.931, 0.895 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.896, 0.932, 0.948 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.384, 0.063, 0.418, 0.077 ], "latex": "\\left( E _ { 1 } \\right)", "score": 0.7412 }, { "type": "inline_formula", "bbox": [ 0.57, 0.063, 0.62, 0.076 ], "latex": "K _ { s } = 5", "score": 0.6792 }, { "type": "inline_formula", "bbox": [ 0.281, 0.089, 0.35, 0.101 ], "latex": "\\Delta _ { \\textrm { m a x } } = 8", "score": 0.8841 }, { "type": "inline_formula", "bbox": [ 0.557, 0.089, 0.611, 0.103 ], "latex": "\\rho _ { \\it i j } ^ { \\mathrm { \\phantom { ~ } } } ( T _ { i } )", "score": 0.9161 }, { "type": "inline_formula", "bbox": [ 0.386, 0.102, 0.42, 0.115 ], "latex": "\\left( E _ { 1 } \\right)", "score": 0.585 }, { "type": "inline_formula", "bbox": [ 0.833, 0.102, 0.851, 0.115 ], "latex": "\\leq", "score": 0.7209 }, { "type": "inline_formula", "bbox": [ 0.852, 0.115, 0.892, 0.127 ], "latex": "r = 2", "score": 0.692 }, { "type": "inline_formula", "bbox": [ 0.383, 0.14, 0.417, 0.153 ], "latex": "( E _ { 2 } )", "score": 0.6324 }, { "type": "inline_formula", "bbox": [ 0.756, 0.153, 0.813, 0.167 ], "latex": "\\lambda _ { 1 } \\delta _ { j } ( \\cdot )", "score": 0.9098 }, { "type": "inline_formula", "bbox": [ 0.403, 0.179, 0.435, 0.191 ], "latex": "\\left( E _ { 3 } \\right)", "score": 0.8162 }, { "type": "inline_formula", "bbox": [ 0.859, 0.217, 0.917, 0.23 ], "latex": "\\lambda _ { 1 } \\delta _ { j } ( \\cdot \\bar { ) }", "score": 0.9156 }, { "type": "inline_formula", "bbox": [ 0.296, 0.241, 0.342, 0.253 ], "latex": "a \\in A ,", "score": 0.7984 }, { "type": "inline_formula", "bbox": [ 0.608, 0.24, 0.677, 0.253 ], "latex": "| A _ { e } | \\leq 2 0", "score": 0.9018 }, { "type": "inline_formula", "bbox": [ 0.667, 0.277, 0.715, 0.291 ], "latex": "\\eta _ { \\mathrm { \\it ~ i j } } \\left( h \\right)", "score": 0.8947 }, { "type": "inline_formula", "bbox": [ 0.441, 0.364, 0.583, 0.378 ], "latex": "( T _ { \\mathrm { m o v e } } , T _ { \\mathrm { s o l } } , F _ { c v } , F _ { t p } )", "score": 0.7773 }, { "type": "inline_formula", "bbox": [ 0.305, 0.488, 0.502, 0.501 ], "latex": "T _ { i } \\in \\textit { \\tau } _ { r } = \\lceil ( r - 1 ) \\Delta t , r \\Delta t \\rfloor", "score": 0.9427 }, { "type": "inline_formula", "bbox": [ 0.541, 0.489, 0.622, 0.501 ], "latex": "s \\in \\ [ 0 , \\Delta \\ t )", "score": 0.9043 }, { "type": "inline_formula", "bbox": [ 0.302, 0.513, 0.484, 0.532 ], "latex": "{ g _ { i j } ^ { ( r ) } } ^ { \\bar { } } = \\left( { { t _ { i j } ^ { ( r + 1 ) } } - { { \\bar { t } } _ { i j } ^ { ( r ) } } } \\right) / \\bar { \\Delta } t ,", "score": 0.9537 }, { "type": "inline_formula", "bbox": [ 0.262, 0.532, 0.345, 0.551 ], "latex": "\\hat { t } _ { i j } ^ { ( r + 1 ) } = \\hat { t } _ { i j } ^ { ( r ) }", "score": 0.938 }, { "type": "inline_formula", "bbox": [ 0.533, 0.513, 0.805, 0.532 ], "latex": "t _ { i j } ^ { \\mathrm { r o l l o u t } } ~ ( T _ { i } + s ) = \\dot { t } _ { i j } ^ { ( r ) } + s \\dot { g } _ { i j } ^ { ( r ) } . ) ~ \\mathrm { I f } ^ { ' } \\dot { t } _ { i j } ^ { ( r + 1 ) }", "score": 0.9463 }, { "type": "inline_formula", "bbox": [ 0.303, 0.657, 0.364, 0.671 ], "latex": "1 _ { [ \\mathrm { T a b u } ( a ) ] }", "score": 0.9226 }, { "type": "inline_formula", "bbox": [ 0.418, 0.67, 0.465, 0.682 ], "latex": "\\tau _ { \\mathrm { \\ b o n u s } }", "score": 0.5411 }, { "type": "inline_formula", "bbox": [ 0.732, 0.682, 0.797, 0.695 ], "latex": "\\Sigma \\left( a , e , s \\right)", "score": 0.8896 }, { "type": "inline_formula", "bbox": [ 0.897, 0.87, 0.93, 0.884 ], "latex": "( i , a )", "score": 0.5293 }, { "type": "inline_formula", "bbox": [ 0.674, 0.909, 0.826, 0.921 ], "latex": "0 2 1 4 0", "score": 0.8267 }, { "type": "inline_formula", "bbox": [ 0.863, 0.907, 0.932, 0.92 ], "latex": "V ^ { \\mathrm { r o l l o u t } } =", "score": 0.8044 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.239, 0.295, 0.256 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.343, 0.239, 0.608, 0.256 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.678, 0.239, 0.879, 0.256 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.81, 0.858, 0.828 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.062, 0.383, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.418, 0.062, 0.569, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.621, 0.062, 0.933, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.275, 0.075, 0.934, 0.092 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.351, 0.089, 0.557, 0.104 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.611, 0.089, 0.695, 0.104 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.1, 0.386, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.421, 0.1, 0.833, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.852, 0.1, 0.933, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.275, 0.113, 0.851, 0.13 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.892, 0.113, 0.934, 0.13 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.126, 0.477, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.137, 0.382, 0.156 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.418, 0.137, 0.934, 0.156 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.275, 0.152, 0.755, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.814, 0.152, 0.933, 0.167 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.166, 0.589, 0.179 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.176, 0.402, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.436, 0.176, 0.934, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.274, 0.19, 0.912, 0.206 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.2, 0.933, 0.221 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.275, 0.216, 0.858, 0.233 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.918, 0.216, 0.926, 0.233 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.273, 0.666, 0.293 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.716, 0.273, 0.928, 0.293 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.55, 0.934, 0.569 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.565, 0.67, 0.58 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.577, 0.934, 0.593 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.59, 0.319, 0.606 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.655, 0.302, 0.672 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.365, 0.655, 0.933, 0.672 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.669, 0.418, 0.684 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.466, 0.669, 0.598, 0.684 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.681, 0.731, 0.698 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.797, 0.681, 0.934, 0.698 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.696, 0.556, 0.712 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.868, 0.897, 0.885 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.93, 0.868, 0.934, 0.885 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.882, 0.444, 0.897 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.301, 0.555, 0.318 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.325, 0.933, 0.34 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.338, 0.543, 0.355 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.402, 0.933, 0.417 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.415, 0.932, 0.431 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.428, 0.603, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.488, 0.305, 0.503 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.503, 0.488, 0.54, 0.503 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.622, 0.488, 0.934, 0.503 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.499, 0.301, 0.541 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.485, 0.499, 0.533, 0.541 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.806, 0.499, 0.935, 0.541 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.255, 0.527, 0.262, 0.557 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.345, 0.527, 0.675, 0.557 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.308, 0.508, 0.322, 0.535 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.351, 0.934, 0.366 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.364, 0.441, 0.379 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.583, 0.364, 0.934, 0.379 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.375, 0.933, 0.392 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.388, 0.504, 0.404 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.894, 0.936, 0.912 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.255, 0.906, 0.673, 0.924 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.826, 0.906, 0.863, 0.924 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.92, 0.934, 0.936 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.931, 0.935, 0.952 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.602, 0.507, 0.619 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.746, 0.816, 0.763 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.252, 0.718, 0.268 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.287, 0.911, 0.305 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "image", "bbox": [ 0.117, 0.062, 0.933, 0.234 ], "angle": 0, "content": "```mermaid\ngraph TD\n subgraph \"Current State (Blocked)\"\n A1[\"1\"] --> B1[\"0\"]\n A1 --> B2[\"2\"]\n A1 --> B3[\"3\"]\n A1 --> B4[\"5\"]\n B1 --> C1[\"4\"]\n B1 --> C2[\"2\"]\n end\n\n subgraph \"Option A: Local Rerouting\"\n D1[\"0\"] --> E1[\"1\"]\n D1 --> E2[\"2\"]\n D1 --> E3[\"3\"]\n D1 --> E4[\"5\"]\n E1 --> F1[\"2\"]\n E2 --> F2[\"3\"]\n E2 --> F3[\"4\"]\n end\n\n subgraph \"Option B: Customer Reassignment\"\n G1[\"0\"] --> H1[\"1\"]\n G1 --> H2[\"2\"]\n G1 --> H3[\"3\"]\n G1 --> H4[\"5\"]\n H1 --> I1[\"2\"]\n H2 --> I2[\"3\"]\n H2 --> I3[\"4\"]\n I1 --> J1[\"5\"]\n I2 --> J2[\"4\"]\n J1 --> K1[\"Reassign\"]\n J2 --> K2[\"Reassign\"]\n end\n\n subgraph \"Option C: Service Postponement\"\n L1[\"0\"] --> M1[\"1\"]\n L1 --> M2[\"2\"]\n L1 --> M3[\"3\"]\n L1 --> M4[\"5\"]\n M1 --> N1[\"Postponed\"]\n M2 --> N2[\"Postponed\"]\n end\n\n O[\"Rollout Evaluation: V^ rollout = 245.3\\nStability: 0.75\\n• Extra travel time: +15 min,\\n• Time window: OK\"]\n P[\"Rollout Evaluation: V^ rollout = 198.7\\nStability: 0.85\\n• Minimal Rerouting,\\n• Time window: OK\"]\n Q[\"Rollout Evaluation: V^ rollout = 310.5\\nStability: 0.90\\n• High penalty cost,\\n• Customer notification\"]\n R[\"Composite Scoring Function:\\nΣ(α,ε,ε) = ω₁·V^ adjusted + ω₂·Stability + ω₃·Recovery\\nParameters: ω₁ = 0.4, ω₂ = 0.3, ω₃ = 0.3 | Higher score = Better option\"]\n S[\"Dispatch Decision Matrix\"]\n T[\"SELECTED: Option B\"]\n```", "sub_type": "flowchart" }, { "type": "image_caption", "bbox": [ 0.258, 0.245, 0.432, 0.26 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.295, 0.932, 0.32 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.32, 0.932, 0.359 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.359, 0.932, 0.385 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.417, 0.393, 0.932, 0.409 ], "angle": 0, "content": "\\[\nH _ {\\text { rollout }} = \\max \\left(H _ {\\min}, H _ {\\max} - \\alpha_ {\\text { urgency }} \\cdot \\Psi (e, t)\\right) \\tag {43}\n\\]" }, { "type": "equation", "bbox": [ 0.429, 0.415, 0.932, 0.443 ], "angle": 0, "content": "\\[\nN _ {\\text { sim }} = \\max \\left(N _ {\\min}, \\left\\lfloor \\frac {T _ {\\text { available }} - T _ {\\text { overhead }}}{T _ {\\text { sim }}} \\right\\rfloor\\right) \\tag {44}\n\\]" }, { "type": "text", "bbox": [ 0.256, 0.455, 0.928, 0.481 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.481, 0.932, 0.507 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.295, 0.307, 0.325, 0.32 ], "latex": "( 8 . { \\dot { 7 } } )", "score": 0.5739 }, { "type": "inline_formula", "bbox": [ 0.544, 0.295, 0.746, 0.307 ], "latex": "\\omega _ { \\textrm { 1 } } = 0 . 4 , \\omega _ { \\textrm { 2 } } = 0 . 3 , \\omega _ { \\textrm { 3 } } = 0 . 3 ,", "score": 0.9314 }, { "type": "inline_formula", "bbox": [ 0.362, 0.36, 0.412, 0.372 ], "latex": "H _ { \\mathrm { r o l l o u t } }", "score": 0.8993 }, { "type": "inline_formula", "bbox": [ 0.553, 0.36, 0.588, 0.371 ], "latex": "N _ { \\mathrm { s i m } } ,", "score": 0.8797 }, { "type": "inline_formula", "bbox": [ 0.302, 0.456, 0.379, 0.468 ], "latex": "H _ { \\operatorname* { m i n } } , H _ { \\operatorname* { m a x } }", "score": 0.9277 }, { "type": "inline_formula", "bbox": [ 0.764, 0.455, 0.926, 0.469 ], "latex": "T _ { \\mathrm { a v a i l a b l e } } , T _ { \\mathrm { o v e r h e a d } } , T _ { \\mathrm { s i m } }", "score": 0.6358 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.245, 0.433, 0.26 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.357, 0.362, 0.373 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.412, 0.357, 0.552, 0.373 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.589, 0.357, 0.933, 0.373 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.371, 0.376, 0.386 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.454, 0.301, 0.471 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.38, 0.454, 0.764, 0.471 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.927, 0.454, 0.93, 0.471 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.468, 0.447, 0.483 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.477, 0.934, 0.496 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.493, 0.444, 0.507 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.292, 0.544, 0.311 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.747, 0.292, 0.935, 0.311 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.306, 0.294, 0.322 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.325, 0.306, 0.421, 0.322 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.319, 0.933, 0.335 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.333, 0.932, 0.348 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.345, 0.707, 0.361 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.062, 0.662, 0.077 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.089, 0.851, 0.105 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.112, 0.672, 0.128 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "list", "bbox": [ 0.258, 0.134, 0.76, 0.306 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.259, 0.134, 0.485, 0.15 ], "angle": 0, "content": "1: S_current ← S⁰, S_best ← S⁰", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.156, 0.63, 0.172 ], "angle": 0, "content": "2: Initialize T-ALNS components (as in Algorithm 2)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.179, 0.75, 0.195 ], "angle": 0, "content": "3: Initialize dispatch parameters: H_rollout, N_sim, urgency thresholds", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.201, 0.452, 0.215 ], "angle": 0, "content": "// Parallel execution threads", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.223, 0.545, 0.239 ], "angle": 0, "content": "4: Thread 1: Main T-ALNS optimization", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.245, 0.563, 0.261 ], "angle": 0, "content": "5: Thread 2: Event monitoring and dispatch", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.268, 0.45, 0.283 ], "angle": 0, "content": "// Main optimization thread", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.29, 0.616, 0.306 ], "angle": 0, "content": "6: while iter < I_max and elapsed_time < T_max do", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.312, 0.478, 0.328 ], "angle": 0, "content": "7: if no_urgent_events() then", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.334, 0.701, 0.35 ], "angle": 0, "content": "// Execute standard T-ALNS iteration (Algorithm 2, lines 11-76)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.356, 0.758, 0.373 ], "angle": 0, "content": "8. S_current ← T-ALNS_Iteration(S_current, D, R, Tabu_structures)", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.379, 0.333, 0.393 ], "angle": 0, "content": "14: else", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.401, 0.598, 0.417 ], "angle": 0, "content": "15: // Pause optimization for urgent dispatch", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.423, 0.541, 0.44 ], "angle": 0, "content": "16: wait_for_dispatch_completion()", "merge_prev": false }, { "type": "text", "bbox": [ 0.259, 0.446, 0.444, 0.46 ], "angle": 0, "content": "17: 18: iter ← iter + 1", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.468, 0.532, 0.484 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.49, 0.448, 0.505 ], "angle": 0, "content": "21: while system_active do", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.512, 0.763, 0.529 ], "angle": 0, "content": "22: event ← monitor_events(traffic_feeds, new_orders, vehicle_status)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.535, 0.435, 0.549 ], "angle": 0, "content": "23: if event ≠ null then", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.557, 0.579, 0.573 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.579, 0.573, 0.595 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.601, 0.51, 0.617 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.623, 0.534, 0.639 ], "angle": 0, "content": "29: // Execute real-time dispatch", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.645, 0.767, 0.662 ], "angle": 0, "content": "30: action ← RolloutDispatch(event, S_current, H_rollout, N_sim)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.668, 0.425, 0.684 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.69, 0.646, 0.706 ], "angle": 0, "content": "33: S_current ← ApplyAction(S_current, action)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.712, 0.652, 0.729 ], "angle": 0, "content": "34: UpdateTabuMemory(action, Tabu_structures)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.735, 0.425, 0.75 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.756, 0.604, 0.773 ], "angle": 0, "content": "37: LogDispatch(event, action, timestamp)", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.779, 0.475, 0.795 ], "angle": 0, "content": "38: return S_best, dispatch_log", "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.834, 0.418, 0.849 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.849, 0.431, 0.861 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.861, 0.934, 0.927 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.979 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.222, 0.545, 0.239 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.422, 0.288, 0.44 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.422, 0.542, 0.44 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.468, 0.533, 0.484 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.601, 0.511, 0.618 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.622, 0.288, 0.641 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.336, 0.623, 0.535, 0.639 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.155, 0.631, 0.173 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.688, 0.289, 0.707 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.335, 0.689, 0.648, 0.707 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.71, 0.288, 0.73 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.336, 0.71, 0.654, 0.73 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.377, 0.336, 0.396 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.201, 0.452, 0.216 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.268, 0.45, 0.284 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.444, 0.447, 0.462 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.489, 0.449, 0.507 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.533, 0.437, 0.551 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.859, 0.933, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.873, 0.933, 0.889 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.886, 0.934, 0.902 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.898, 0.933, 0.915 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.911, 0.68, 0.928 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.244, 0.564, 0.263 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.556, 0.58, 0.575 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.577, 0.288, 0.596 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.317, 0.578, 0.574, 0.596 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.088, 0.851, 0.107 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.134, 0.485, 0.15 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.31, 0.479, 0.33 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.777, 0.475, 0.797 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.29, 0.616, 0.306 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.4, 0.288, 0.417 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.318, 0.401, 0.599, 0.417 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.755, 0.289, 0.774 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.336, 0.756, 0.605, 0.775 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.061, 0.663, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.11, 0.673, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.333, 0.703, 0.351 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.846, 0.433, 0.864 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.934, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.667, 0.427, 0.685 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.735, 0.426, 0.751 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.831, 0.421, 0.853 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.178, 0.75, 0.196 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.355, 0.759, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.512, 0.764, 0.529 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.644, 0.288, 0.662 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.335, 0.644, 0.769, 0.662 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.062, 0.932, 0.152 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.152, 0.932, 0.256 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.267, 0.418, 0.279 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.28, 0.932, 0.331 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.332, 0.536, 0.344 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "list", "bbox": [ 0.258, 0.354, 0.932, 0.407 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.354, 0.496, 0.368 ], "angle": 0, "content": "• A package demand \\( d_{i} \\in [3,12] \\) kg,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.368, 0.527, 0.38 ], "angle": 0, "content": "- A fixed service duration \\( s_i = 4 \\) minutes,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.38, 0.931, 0.407 ], "angle": 0, "content": "- A service time window \\([e_i, l_i]\\) drawn from three temporal segments: morning (9:00–12:00), afternoon (13:00–16:00), and evening (17:00–20:00).", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.416, 0.932, 0.456 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.467, 0.427, 0.481 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.481, 0.932, 0.563 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.564, 0.932, 0.602 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.602, 0.932, 0.704 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.278, 0.705, 0.551, 0.718 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "list", "bbox": [ 0.258, 0.727, 0.932, 0.83 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.727, 0.932, 0.752 ], "angle": 0, "content": "- A network \\( G = (N, A) \\) with \\( |N| = 48 \\) nodes (47 customers + 1 depot) and \\( |A| = 2,256 \\) feasible directed arcs,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.752, 0.931, 0.778 ], "angle": 0, "content": "- Time-indexed travel time matrices \\( T^{(h)} \\) and congestion penalty matrices \\( \\Gamma^{(h)} \\) across \\( H = 12 \\) time intervals,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.779, 0.691, 0.793 ], "angle": 0, "content": "- Customer delivery requests \\(\\{d_i, s_i, [e_i, l_i]\\}\\) for \\(i \\in \\{1, 2, \\ldots, 47\\}\\),", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.793, 0.666, 0.805 ], "angle": 0, "content": "- Vehicle fleet \\( K = \\{1,2,3,4\\} \\) with uniform capacity constraints,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.805, 0.931, 0.83 ], "angle": 0, "content": "- Complete traffic parameter set totaling approximately 81,200 arc-time cost entries across all \\((i,j,h)\\) combinations.", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.84, 0.932, 0.945 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.333, 0.075, 0.397, 0.088 ], "latex": "\\mathrm { 8 } \\times 1 0 \\mathrm { k m } ^ { 2 }", "score": 0.6685 }, { "type": "inline_formula", "bbox": [ 0.398, 0.355, 0.476, 0.367 ], "latex": "d _ { i } \\in \\ [ 3 , 1 2 ] ", "score": 0.8708 }, { "type": "inline_formula", "bbox": [ 0.428, 0.369, 0.469, 0.38 ], "latex": "s _ { i } = 4", "score": 0.6075 }, { "type": "inline_formula", "bbox": [ 0.433, 0.38, 0.474, 0.394 ], "latex": "[ e _ { i } , l _ { i } ]", "score": 0.8926 }, { "type": "inline_formula", "bbox": [ 0.484, 0.43, 0.528, 0.442 ], "latex": "m = 4", "score": 0.6967 }, { "type": "inline_formula", "bbox": [ 0.831, 0.43, 0.904, 0.443 ], "latex": "Q = { \\mathrm { 1 2 0 k g } }", "score": 0.8943 }, { "type": "inline_formula", "bbox": [ 0.332, 0.53, 0.357, 0.549 ], "latex": "\\it { \\Delta } \\hat { t } _ { i j } ^ { ( h ) }", "score": 0.9103 }, { "type": "inline_formula", "bbox": [ 0.502, 0.53, 0.534, 0.549 ], "latex": "\\gamma { \\bf \\Xi } _ { i j } ^ { ( \\not h ) }", "score": 0.9109 }, { "type": "inline_formula", "bbox": [ 0.848, 0.506, 0.9, 0.518 ], "latex": "H = 1 2", "score": 0.7344 }, { "type": "inline_formula", "bbox": [ 0.788, 0.519, 0.856, 0.533 ], "latex": "( i , j ) \\in A _ { \\mathrm { { i } } }", "score": 0.9248 }, { "type": "inline_formula", "bbox": [ 0.735, 0.535, 0.759, 0.546 ], "latex": "\\tau _ { h }", "score": 0.8266 }, { "type": "inline_formula", "bbox": [ 0.33, 0.575, 0.358, 0.59 ], "latex": "\\eta _ { i j } ^ { ( n _ { . } }", "score": 0.8757 }, { "type": "inline_formula", "bbox": [ 0.612, 0.602, 0.681, 0.615 ], "latex": "8 \\times 1 0 ~ \\mathrm { k m } ^ { 2 }", "score": 0.5838 }, { "type": "inline_formula", "bbox": [ 0.348, 0.728, 0.426, 0.741 ], "latex": "G = ( N , A )", "score": 0.8954 }, { "type": "inline_formula", "bbox": [ 0.463, 0.728, 0.524, 0.741 ], "latex": "| N | = 4 8", "score": 0.888 }, { "type": "inline_formula", "bbox": [ 0.75, 0.728, 0.828, 0.741 ], "latex": "| A | = 2 , 2 5 6", "score": 0.8299 }, { "type": "inline_formula", "bbox": [ 0.493, 0.752, 0.524, 0.765 ], "latex": "T ^ { ( h ) }", "score": 0.9026 }, { "type": "inline_formula", "bbox": [ 0.73, 0.752, 0.763, 0.765 ], "latex": "\\Gamma ^ { ( h ) }", "score": 0.8953 }, { "type": "inline_formula", "bbox": [ 0.811, 0.753, 0.861, 0.766 ], "latex": "H = 1 2", "score": 0.6894 }, { "type": "inline_formula", "bbox": [ 0.449, 0.779, 0.54, 0.793 ], "latex": "\\{ d _ { i } , s _ { i } , [ e _ { i } , l _ { i } ] \\}", "score": 0.9336 }, { "type": "inline_formula", "bbox": [ 0.567, 0.779, 0.685, 0.792 ], "latex": "i \\in \\{ 1 , 2 , \\ldots , 4 7 \\}", "score": 0.9227 }, { "type": "inline_formula", "bbox": [ 0.356, 0.793, 0.453, 0.805 ], "latex": "K = \\{ 1 , 2 , 3 , 4 \\}", "score": 0.9145 }, { "type": "inline_formula", "bbox": [ 0.837, 0.805, 0.883, 0.818 ], "latex": "( i , j , h )", "score": 0.8888 }, { "type": "inline_formula", "bbox": [ 0.337, 0.881, 0.406, 0.903 ], "latex": "\\left( \\hat { t } _ { i j } ^ { ( h ) } , \\gamma \\mathbf { \\Sigma } _ { i j } ^ { ( h ) } \\right.", "score": 0.937 }, { "type": "inline_formula", "bbox": [ 0.446, 0.882, 0.485, 0.904 ], "latex": "\\eta _ { i j } ^ { \\left( h \\right) } \\bigg )", "score": 0.921 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.379, 0.433, 0.395 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.475, 0.379, 0.933, 0.395 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.392, 0.535, 0.408 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.415, 0.933, 0.431 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.428, 0.483, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.528, 0.428, 0.83, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.905, 0.428, 0.933, 0.443 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.443, 0.49, 0.457 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.563, 0.933, 0.577 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.575, 0.329, 0.592 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.359, 0.575, 0.934, 0.592 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.589, 0.474, 0.604 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.726, 0.348, 0.743 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.426, 0.726, 0.463, 0.743 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.524, 0.726, 0.75, 0.743 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.829, 0.726, 0.934, 0.743 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.274, 0.742, 0.31, 0.755 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.75, 0.493, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.524, 0.75, 0.73, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.764, 0.75, 0.811, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.862, 0.75, 0.935, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.273, 0.764, 0.311, 0.782 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.802, 0.836, 0.82 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.884, 0.802, 0.933, 0.82 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.274, 0.816, 0.331, 0.833 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.277, 0.935, 0.297 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.292, 0.934, 0.308 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.304, 0.934, 0.321 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.319, 0.6, 0.332 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.266, 0.419, 0.281 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.352, 0.397, 0.371 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.476, 0.352, 0.496, 0.371 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.777, 0.449, 0.795 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.541, 0.777, 0.566, 0.795 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.686, 0.777, 0.692, 0.795 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.467, 0.429, 0.482 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.061, 0.933, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.075, 0.332, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.398, 0.075, 0.934, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.087, 0.935, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.099, 0.934, 0.117 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.112, 0.934, 0.131 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.126, 0.933, 0.14 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.139, 0.333, 0.154 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.48, 0.934, 0.495 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.493, 0.934, 0.508 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.506, 0.847, 0.521 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.9, 0.506, 0.934, 0.521 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.516, 0.787, 0.536 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.856, 0.516, 0.933, 0.536 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.533, 0.331, 0.548 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.358, 0.526, 0.502, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.535, 0.526, 0.735, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.759, 0.526, 0.933, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.55, 0.404, 0.565 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.336, 0.528, 0.352, 0.551 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.789, 0.356, 0.808 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.454, 0.789, 0.668, 0.808 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.149, 0.936, 0.169 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.164, 0.933, 0.18 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.177, 0.933, 0.192 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.19, 0.933, 0.206 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.203, 0.934, 0.218 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.214, 0.934, 0.232 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.229, 0.933, 0.244 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.241, 0.678, 0.257 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.599, 0.612, 0.619 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.682, 0.599, 0.935, 0.619 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.614, 0.933, 0.63 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.627, 0.933, 0.643 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.641, 0.934, 0.656 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.653, 0.933, 0.668 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.666, 0.933, 0.681 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.678, 0.933, 0.694 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.69, 0.542, 0.706 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.841, 0.933, 0.856 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.853, 0.933, 0.869 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.865, 0.933, 0.881 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.887, 0.333, 0.9 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.407, 0.88, 0.445, 0.908 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.489, 0.885, 0.933, 0.902 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.903, 0.935, 0.922 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.918, 0.934, 0.934 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.931, 0.933, 0.946 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.331, 0.538, 0.345 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.366, 0.427, 0.382 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.47, 0.366, 0.528, 0.382 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.704, 0.553, 0.72 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.031 ], "angle": 0, "content": null }, { "type": "image_block", "bbox": [ 0.173, 0.064, 0.933, 0.321 ], "angle": 0, "content": null }, { "type": "image", "bbox": [ 0.174, 0.065, 0.452, 0.289 ], "angle": 0, "content": null }, { "type": "image", "bbox": [ 0.453, 0.065, 0.729, 0.29 ], "angle": 0, "content": null }, { "type": "image", "bbox": [ 0.731, 0.064, 0.931, 0.291 ], "angle": 0, "content": null }, { "type": "image_caption", "bbox": [ 0.256, 0.33, 0.923, 0.371 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.405, 0.932, 0.469 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.469, 0.932, 0.546 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.546, 0.932, 0.61 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.61, 0.932, 0.687 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.686, 0.932, 0.739 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.75, 0.533, 0.763 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.763, 0.932, 0.802 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.802, 0.932, 0.854 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.853, 0.932, 0.905 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.016, 0.34, 0.032 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.467, 0.934, 0.484 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.483, 0.934, 0.497 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.494, 0.934, 0.511 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.508, 0.934, 0.522 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.52, 0.934, 0.535 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.533, 0.741, 0.548 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.609, 0.932, 0.624 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.623, 0.933, 0.638 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.634, 0.935, 0.651 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.649, 0.934, 0.663 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.66, 0.936, 0.677 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.674, 0.647, 0.689 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.33, 0.921, 0.345 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.343, 0.875, 0.357 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.356, 0.854, 0.371 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.764, 0.932, 0.777 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.775, 0.933, 0.792 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.788, 0.881, 0.803 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.404, 0.934, 0.421 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.418, 0.934, 0.433 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.431, 0.933, 0.446 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.443, 0.934, 0.46 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.456, 0.398, 0.47 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.545, 0.934, 0.562 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.558, 0.934, 0.573 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.569, 0.935, 0.587 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.582, 0.934, 0.6 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.598, 0.331, 0.611 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.685, 0.932, 0.701 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.699, 0.933, 0.714 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.712, 0.934, 0.727 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.725, 0.356, 0.739 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.799, 0.934, 0.818 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.813, 0.935, 0.83 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.825, 0.934, 0.843 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.839, 0.686, 0.856 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.851, 0.932, 0.868 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.866, 0.933, 0.879 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.878, 0.934, 0.894 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.892, 0.678, 0.905 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.748, 0.535, 0.766 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.063, 0.76, 0.458 ], "angle": 0, "content": "
ComponentDescriptionVolumeFormat/range
Network Structure
NodesCustomer locations + depot48Spatial coordinates (lat, lon)
ArcsFeasible directed connections2,256Origin-destination pairs
Study AreaShanghai urban zone coverage80 \\text{ km}^{2}Jing'an and Huangpu districts
Customer Data
Delivery RequestsCustomer service requirements47Individual delivery records
Package DemandWeight per delivery-d_{i} \\in [3,12] \\text{ kg}
Service DurationTime at customer location-s_{i} = 4 \\text{ minutes}
Time WindowsService availability periods-3-hour windows across the day
Vehicle Fleet
Fleet SizeHomogeneous delivery vehicles4K = \\{1,2,3,4\\}
Vehicle CapacityMaximum load per vehicle-Q = 120 \\text{kg}
Operating HoursDaily operational span-10 h maximum
Traffic Data
Time IntervalsTemporal discretization121-hour intervals(6 AM-6 PM)
Travel TimesArc traversal durations27,072t_{ij}^{(h)} entries
Congestion WeightsTraffic density penalties27,072\\gamma_{ij}^{(h)} values
Reliability MarginsTravel time uncertainties27,072\\eta_{ij}^{(h)} deviations
Total Dataset Volume
Arc-Time CombinationsUnique routing segments27,072(i,j,h) tuples
Traffic ParametersComplete cost structure81,216All traffic-related entries
Total Data PointsFull experimental dataset82,347All components combined
" }, { "type": "table_caption", "bbox": [ 0.259, 0.469, 0.422, 0.481 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.518, 0.398, 0.531 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.532, 0.932, 0.57 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.279, 0.571, 0.471, 0.583 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.583, 0.932, 0.635 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.634, 0.932, 0.661 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.512, 0.669, 0.932, 0.699 ], "angle": 0, "content": "\\[\n\\mathrm{OTDR} = \\frac {N _ {\\text { ontime }}}{| N \\setminus \\{0 \\} |} \\tag {45}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.71, 0.931, 0.736 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.736, 0.931, 0.763 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.405, 0.77, 0.932, 0.799 ], "angle": 0, "content": "\\[\n\\text { AvgRouteDuration } = \\frac {1}{| K |} \\sum_ {k \\in K} \\left(T _ {k} ^ {\\text { end }} - T _ {k} ^ {\\text { start }}\\right) \\tag {46}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.811, 0.912, 0.824 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.824, 0.932, 0.852 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "equation", "bbox": [ 0.449, 0.859, 0.932, 0.881 ], "angle": 0, "content": "\\[\n\\mathrm{CES} = \\sum_ {k \\in K} \\sum_ {(i, j) \\in A _ {k}} \\rho_ {i j} \\left(T _ {i} ^ {k}\\right) \\tag {47}\n\\]" }, { "type": "text", "bbox": [ 0.257, 0.895, 0.909, 0.908 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.908, 0.932, 0.935 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.913, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.511, 0.648, 0.564, 0.661 ], "latex": "N _ { \\mathrm { o n t i m e } }", "score": 0.9011 }, { "type": "inline_formula", "bbox": [ 0.84, 0.647, 0.896, 0.661 ], "latex": "\\begin{array} { r } { T _ { j } \\leq l _ { j } ; } \\end{array}", "score": 0.9122 }, { "type": "inline_formula", "bbox": [ 0.438, 0.749, 0.484, 0.761 ], "latex": "k \\in \\ K", "score": 0.8212 }, { "type": "inline_formula", "bbox": [ 0.511, 0.747, 0.603, 0.762 ], "latex": "T _ { k } ^ { \\mathrm { e n d } } \\ : - \\ : T _ { k } ^ { \\mathrm { s t a r t } }", "score": 0.9216 }, { "type": "inline_formula", "bbox": [ 0.547, 0.837, 0.6, 0.852 ], "latex": "\\rho _ { \\mathit { i j } } \\left( T _ { i } \\right)", "score": 0.9069 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.531, 0.933, 0.547 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.543, 0.934, 0.561 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.556, 0.326, 0.573 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.632, 0.934, 0.649 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.647, 0.511, 0.662 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.565, 0.647, 0.839, 0.662 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.897, 0.647, 0.933, 0.662 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.709, 0.933, 0.725 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.722, 0.415, 0.738 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.735, 0.934, 0.751 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.254, 0.741, 0.437, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.485, 0.741, 0.51, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.603, 0.741, 0.896, 0.769 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.823, 0.933, 0.839 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.836, 0.547, 0.853 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.6, 0.836, 0.919, 0.853 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.907, 0.933, 0.923 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.92, 0.934, 0.935 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.581, 0.933, 0.6 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.595, 0.933, 0.611 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.608, 0.934, 0.625 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.62, 0.747, 0.638 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.468, 0.424, 0.483 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.516, 0.4, 0.534 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.57, 0.473, 0.585 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.81, 0.914, 0.827 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.892, 0.911, 0.912 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.062, 0.932, 0.087 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.087, 0.932, 0.128 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.138, 0.38, 0.151 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.152, 0.932, 0.242 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.254, 0.719, 0.267 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.267, 0.932, 0.319 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.33, 0.736, 0.344 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.344, 0.932, 0.396 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.407, 0.588, 0.42 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.42, 0.932, 0.472 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.483, 0.524, 0.497 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.497, 0.932, 0.537 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.548, 0.615, 0.561 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.561, 0.932, 0.612 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.612, 0.932, 0.664 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.677, 0.32, 0.69 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.691, 0.478, 0.705 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.704, 0.932, 0.831 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.832, 0.932, 0.935 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.808, 0.345, 0.857, 0.359 ], "latex": "\\rho _ { \\ i j } \\left( T \\right)", "score": 0.7398 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.483, 0.525, 0.498 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.676, 0.323, 0.693 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.703, 0.935, 0.719 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.716, 0.934, 0.732 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.729, 0.934, 0.745 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.743, 0.933, 0.758 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.754, 0.935, 0.771 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.767, 0.934, 0.782 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.781, 0.934, 0.796 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.793, 0.934, 0.809 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.806, 0.935, 0.822 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.818, 0.325, 0.834 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.831, 0.934, 0.847 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.845, 0.934, 0.86 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.857, 0.933, 0.873 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.869, 0.934, 0.886 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.883, 0.934, 0.898 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.895, 0.933, 0.911 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.908, 0.934, 0.924 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.919, 0.326, 0.937 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.152, 0.933, 0.166 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.164, 0.933, 0.179 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.177, 0.935, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.19, 0.933, 0.205 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.203, 0.934, 0.217 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.214, 0.935, 0.232 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.226, 0.666, 0.245 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.06, 0.934, 0.08 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.076, 0.351, 0.089 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.088, 0.933, 0.102 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.102, 0.934, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.114, 0.763, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.497, 0.932, 0.511 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.51, 0.933, 0.525 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.523, 0.911, 0.538 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.266, 0.934, 0.283 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.281, 0.933, 0.294 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.292, 0.934, 0.308 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.305, 0.581, 0.32 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.342, 0.808, 0.361 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.858, 0.342, 0.936, 0.361 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.356, 0.933, 0.372 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.368, 0.935, 0.385 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.382, 0.755, 0.397 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.42, 0.934, 0.436 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.432, 0.934, 0.448 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.445, 0.933, 0.461 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.459, 0.324, 0.475 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.56, 0.933, 0.576 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.574, 0.933, 0.587 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.586, 0.933, 0.602 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.6, 0.593, 0.615 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.611, 0.933, 0.626 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.626, 0.933, 0.639 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.637, 0.933, 0.652 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.65, 0.818, 0.666 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.689, 0.481, 0.707 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.406, 0.589, 0.423 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.329, 0.737, 0.346 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.253, 0.719, 0.269 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.137, 0.383, 0.154 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.546, 0.615, 0.563 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.062, 0.905, 0.339 ], "angle": 0, "content": "
Parameter variationTotal costOTDR (%)CES scoreComputation time (Sec.)Performance gap vs. baseline
Fleet Size Sensitivity
2 vehicles2,847.3 \\pm 24.189.4 \\pm 1.81,456.2 \\pm 28.7198.4 \\pm 15.222.1%
3 vehicles2,423.6 \\pm 20.391.2 \\pm 1.51,367.8 \\pm 25.4221.3 \\pm 17.623.7%
4 vehicles (baseline)2,156.8 \\pm 16.792.8 \\pm 1.31,298.3 \\pm 24.6243.7 \\pm 19.424.3%
5 vehicles2,087.4 \\pm 18.993.6 \\pm 1.41,245.7 \\pm 23.1267.8 \\pm 21.224.8%
6 vehicles2,034.2 \\pm 17.694.1 \\pm 1.21,198.4 \\pm 22.8289.5 \\pm 23.725.1%
Customer Density Sensitivity
30 customers1,567.2 \\pm 14.394.8 \\pm 1.1987.6 \\pm 18.9156.3 \\pm 12.822.7%
40 customers1,834.5 \\pm 15.893.5 \\pm 1.41,143.7 \\pm 21.4201.4 \\pm 16.223.9%
47 customers (baseline)2,156.8 \\pm 16.792.8 \\pm 1.31,298.3 \\pm 24.6243.7 \\pm 19.424.3%
60 customers2,698.3 \\pm 19.691.6 \\pm 1.61,587.4 \\pm 28.3312.8 \\pm 24.724.8%
Capacity Sensitivity
80 kg capacity2,234.7 \\pm 18.991.2 \\pm 1.71,342.6 \\pm 26.1251.3 \\pm 20.823.1%
100 kg capacity2,198.4 \\pm 17.292.1 \\pm 1.41,318.9 \\pm 25.3247.8 \\pm 19.923.8%
120 kg capacity (baseline)2,156.8 \\pm 16.792.8 \\pm 1.31,298.3 \\pm 24.6243.7 \\pm 19.424.3%
140 kg capacity2,143.6 \\pm 16.193.2 \\pm 1.21,285.7 \\pm 24.1241.9 \\pm 19.124.6%
160 kg capacity2,139.2 \\pm 15.893.4 \\pm 1.11,281.4 \\pm 23.8240.5 \\pm 18.724.7%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.348, 0.597, 0.362 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.399, 0.702, 0.508 ], "angle": 0, "content": "
ParameterBase valueRange testedPerformance impactStability
Tabu Tenure (move)75–122,156.8 \\pm 23.4±3.1%
Tabu Tenure (solution)1510–252,156.8 \\pm 28.7±4.2%
Rollout Horizon (min)6030–1202,156.8 \\pm 31.2±4.8%
Operator Weights (initial)1.00.5–2.0.5.02,156.8 \\pm 19.8±2.3%
Reaction Factor (ξ)0.10.05–0.32,156.8 \\pm 26.4±3.7%
Aspiration Threshold (β)0.30.1–0.52,156.8 \\pm 22.1±2.9%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.517, 0.612, 0.532 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.566, 0.932, 0.656 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.657, 0.932, 0.72 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.72, 0.932, 0.773 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.783, 0.462, 0.798 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.798, 0.932, 0.899 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.899, 0.932, 0.94 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.93, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.783, 0.464, 0.8 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.796, 0.934, 0.812 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.81, 0.934, 0.823 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.823, 0.935, 0.837 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.835, 0.934, 0.85 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.848, 0.934, 0.862 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.862, 0.934, 0.875 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.872, 0.933, 0.889 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.885, 0.371, 0.901 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.898, 0.933, 0.914 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.91, 0.934, 0.928 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.925, 0.933, 0.94 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.655, 0.935, 0.673 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.668, 0.934, 0.685 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.682, 0.933, 0.697 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.695, 0.935, 0.71 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.705, 0.295, 0.724 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.72, 0.934, 0.736 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.733, 0.934, 0.748 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.745, 0.934, 0.761 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.758, 0.863, 0.774 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.347, 0.598, 0.363 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.517, 0.612, 0.532 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.565, 0.934, 0.582 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.58, 0.934, 0.595 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.592, 0.934, 0.608 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.605, 0.933, 0.62 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.619, 0.933, 0.633 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.63, 0.933, 0.646 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.644, 0.463, 0.658 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.063, 0.86, 0.171 ], "angle": 0, "content": "
AlgorithmTotal costTravel time costDelay penalty costCongestion costImprovement vs. static
Static-VRPTW2,847.3 \\pm 23.12,245.8 \\pm 18.9421.2 \\pm 8.7180.3 \\pm 6.2-
TA-VRPTW-Greedy2,623.7 \\pm 19.62,156.4 \\pm 16.3298.1 \\pm 7.4169.2 \\pm 5.87.9%
ALNS-Base2,401.5 \\pm 21.42,034.2 \\pm 15.7245.8 \\pm 9.1121.5 \\pm 4.915.7%
T-ALNS2,298.4 \\pm 18.21,987.6 \\pm 14.2198.3 \\pm 6.8112.5 \\pm 4.319.3%
T-ALNS-RRD2,156.8 \\pm 16.71,912.3 \\pm 13.1163.2 \\pm 5.981.3 \\pm 3.824.3%
Oracle-Traffic-Perfect1,987.4 \\pm 12.31,824.7 \\pm 11.8108.9 \\pm 4.253.8 \\pm 2.930.2%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.181, 0.751, 0.196 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.23, 0.934, 0.533 ], "angle": 0, "content": "| Algorithm | Travel Time Cost | Delay Penalty Cost | Congestion Cost | Improvement vs Static (%) |\n| ---------------------- | ---------------- | ------------------ | --------------- | ------------------------- |\n| Static-VRPTW | 2250 | 420 | 160 | 1.0 |\n| TA-VRPTW-Greedy | 2150 | 290 | 150 | 7.0 |\n| ALNS-Base | 2050 | 230 | 110 | 13.0 |\n| T-ALNS | 1980 | 180 | 90 | 19.0 |\n| T-ALNS-RRD | 1900 | 140 | 60 | 24.0 |\n| Oracle-Traffic-Perfect | 1820 | 80 | 30 | 30.0 |", "sub_type": "bar" }, { "type": "table_caption", "bbox": [ 0.258, 0.544, 0.581, 0.559 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.595, 0.89, 0.689 ], "angle": 0, "content": "
AlgorithmOTDR (%)Average delay (min)Max delay (min)Customers served lateTime window violations
Static-VRPTW68.1±2.412.7±1.847.3±4.215.0±1.132.7%
TA-VRPTW-Greedy74.5±2.19.8±1.438.9±3.612.0±0.925.5%
ALNS-Base81.7±1.97.2±1.131.4±2.88.6±0.718.3%
T-ALNS87.2±1.65.4±0.924.7±2.36.0±0.612.8%
T-ALNS-RRD92.8±1.33.1±0.716.8±1.93.4±0.47.2%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.698, 0.69, 0.713 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.747, 0.932, 0.8 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.8, 0.934, 0.877 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.888, 0.48, 0.902 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.902, 0.932, 0.942 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.8, 0.933, 0.813 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.812, 0.935, 0.827 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.825, 0.934, 0.839 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.835, 0.934, 0.855 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.849, 0.933, 0.865 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.863, 0.933, 0.878 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.901, 0.934, 0.916 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.913, 0.935, 0.93 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.926, 0.933, 0.943 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.747, 0.934, 0.764 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.761, 0.933, 0.776 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.772, 0.933, 0.79 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.786, 0.476, 0.803 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.543, 0.583, 0.561 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.886, 0.481, 0.905 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.697, 0.69, 0.714 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.181, 0.751, 0.197 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.116, 0.061, 0.934, 0.359 ], "angle": 0, "content": "On-Time Delivery Performance and Time Window Compliance\n| Algorithm | On-Time Delivery Rate (%) | Average Delay (min) | Max Delay (min) | Customers Served Late | Time Window Violations (%) |\n|---|---|---|---|---|---|\n| Static-VRPTW | 68 | 24 | 92 | 28 | 34 |\n| TA-VRPTW-Greedy | 75 | 18 | 77 | 22 | 49 |\n| ALNS-Base | 82 | 13 | 61 | 16 | 35 |\n| T-ALNS | 87 | 9 | 48 | 9 | 24 |\n| T-ALNS-RRD | 92 | 5 | 33 | 5 | 10 |", "sub_type": "bar_line" }, { "type": "image_caption", "bbox": [ 0.257, 0.369, 0.744, 0.384 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.42, 0.891, 0.514 ], "angle": 0, "content": "
AlgorithmCES ScorePeak hour CESOff-peak CESHigh-congestion arcs usedTraffic adaptability index
Static-VRPTW2,847.6 ± 45.33,421.8 ± 52.71,963.4 ± 38.989.3 ± 3.20.00
TA-VRPTW-Greedy2,234.2 ± 38.72,789.6 ± 44.11,578.8 ± 31.567.4 ± 2.80.31
ALNS-Base1,892.5 ± 32.42,387.3 ± 39.21,298.7 ± 26.752.8 ± 2.30.58
T-ALNS1,634.7 ± 28.92,098.4 ± 35.61,087.2 ± 23.141.6 ± 1.90.74
T-ALNS-RRD1,298.3 ± 24.61,687.9 ± 31.2842.7 ± 19.828.4 ± 1.50.89
" }, { "type": "table_caption", "bbox": [ 0.258, 0.523, 0.71, 0.538 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.573, 0.932, 0.663 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.663, 0.932, 0.727 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.727, 0.932, 0.805 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.815, 0.499, 0.829 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.829, 0.932, 0.933 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.828, 0.936, 0.845 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.841, 0.935, 0.857 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.852, 0.934, 0.87 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.865, 0.934, 0.883 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.88, 0.934, 0.896 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.891, 0.935, 0.909 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.905, 0.934, 0.922 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.918, 0.934, 0.933 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.573, 0.933, 0.587 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.585, 0.934, 0.601 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.599, 0.934, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.61, 0.934, 0.627 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.623, 0.934, 0.64 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.638, 0.933, 0.652 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.65, 0.815, 0.665 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.725, 0.933, 0.741 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.739, 0.932, 0.753 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.752, 0.934, 0.768 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.764, 0.934, 0.781 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.776, 0.935, 0.793 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.791, 0.446, 0.807 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.662, 0.934, 0.678 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.675, 0.934, 0.691 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.688, 0.934, 0.703 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.7, 0.934, 0.716 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.713, 0.638, 0.73 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.816, 0.499, 0.832 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.522, 0.712, 0.54 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.368, 0.744, 0.385 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "image_caption", "bbox": [ 0.215, 0.062, 0.638, 0.075 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.075, 0.934, 0.359 ], "angle": 0, "content": "| Algorithm | Peak Hour CES | Off-Peak CES | Total CES Score | High-Congestion Arcs Used | Traffic Adaptability Index |\n| ------------------ | ------------- | ------------ | --------------- | ------------------------- | -------------------------- |\n| Static-VRPTW | 3450 | 1980 | 2850 | 85 | 1 |\n| TA-VRPTW-Greedy | 2780 | 1580 | 2250 | 65 | 1 |\n| ALNS-Base | 2400 | 1300 | 1900 | 55 | 1 |\n| T-ALNS | 2100 | 1100 | 1600 | 45 | 1 |\n| T-ALNS-RRD | 1680 | 850 | 1300 | 30 | 1 |", "sub_type": "bar_line" }, { "type": "image_caption", "bbox": [ 0.257, 0.369, 0.707, 0.384 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.42, 0.855, 0.514 ], "angle": 0, "content": "
Event typeFrequencyAvg response (ms)Success rate (%)Cost impact reductionRollout simulations
Traffic Incidents8.6±1.2187.3±18.991.7±2.312.4% ± 1.8%4.7±0.8
Urgent Deliveries11.2±1.6124.8±14.696.8±1.48.7% ± 1.2%6.2±1.1
Capacity Violations4.8±0.9156.2±16.792.1±2.815.3% ± 2.1%3.9±0.7
Time Violations2.8±0.798.4±11.297.9±1.118.9% ± 2.4%2.1±0.4
Overall27.4±2.8143.7±12.494.2±1.613.8% ± 1.9%4.2±0.8
" }, { "type": "table_caption", "bbox": [ 0.258, 0.524, 0.641, 0.538 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.573, 0.932, 0.598 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.599, 0.932, 0.701 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.701, 0.932, 0.803 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.816, 0.525, 0.829 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.829, 0.932, 0.945 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.813, 0.525, 0.832 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.522, 0.642, 0.54 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.598, 0.935, 0.615 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.611, 0.933, 0.627 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.625, 0.933, 0.638 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.637, 0.934, 0.653 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.651, 0.933, 0.664 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.662, 0.934, 0.678 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.675, 0.932, 0.69 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.688, 0.596, 0.703 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.699, 0.934, 0.717 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.714, 0.933, 0.728 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.726, 0.933, 0.741 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.74, 0.934, 0.755 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.751, 0.935, 0.768 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.764, 0.934, 0.781 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.778, 0.933, 0.793 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.79, 0.385, 0.804 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.828, 0.933, 0.844 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.841, 0.935, 0.857 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.852, 0.934, 0.871 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.867, 0.933, 0.883 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.88, 0.934, 0.896 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.893, 0.934, 0.908 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.905, 0.934, 0.92 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.918, 0.934, 0.933 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.931, 0.649, 0.947 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.571, 0.935, 0.59 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.586, 0.397, 0.6 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.217, 0.061, 0.638, 0.077 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.368, 0.709, 0.386 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.061, 0.934, 0.355 ], "angle": 0, "content": "T-ALNS-RRD Real-Time Event Response Performance\n| Event Type | Frequency | Avg Response (ms) | Success Rate (%) | Cost Impact Reduction (%) | Rollout Simulations |\n| :--- | :--- | :--- | :--- | :--- | :--- |\n| Traffic Incidents | 8 | 185 | 92 | 28 | 10 |\n| Urgent Deliveries | 10 | 125 | 96 | 20 | 12 |\n| Capacity Violations | 4 | 156 | 90 | 27 | 8 |\n| Time Violations | 2 | 99 | 97 | 20 | 4 |\n| Overall | 28 | 143 | 93 | 15 | 6 |", "sub_type": "bar_line" }, { "type": "image_caption", "bbox": [ 0.257, 0.364, 0.655, 0.38 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.415, 0.93, 0.509 ], "angle": 0, "content": "
AlgorithmIterations to best95% quality time (sec)Final solution time (sec)Convergence rateSolution stability (σ)
Static-VRPTW1.0±0.00.3±0.10.3±0.1N/A23.1±3.2
TA-VRPTW-Greedy1.0±0.02.7±0.42.7±0.4N/A19.6±2.8
ALNS-Base847.3±67.2142.8±18.7298.4±23.60.008921.4±3.1
T-ALNS623.7±52.498.6±14.2267.3±21.80.012718.2±2.6
T-ALNS-RRD456.8±41.376.3±11.9243.7±19.40.016416.7±2.3
" }, { "type": "table_caption", "bbox": [ 0.257, 0.519, 0.731, 0.535 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.568, 0.934, 0.67 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.671, 0.934, 0.737 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.747, 0.425, 0.76 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.76, 0.934, 0.875 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.875, 0.934, 0.941 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.882, 0.979 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.979 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.363, 0.654, 0.38 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.568, 0.933, 0.583 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.581, 0.934, 0.596 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.593, 0.935, 0.61 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.605, 0.934, 0.623 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.617, 0.935, 0.636 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.632, 0.935, 0.647 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.645, 0.936, 0.661 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.657, 0.721, 0.673 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.759, 0.934, 0.776 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.77, 0.935, 0.79 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.785, 0.935, 0.801 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.798, 0.935, 0.814 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.811, 0.934, 0.827 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.823, 0.935, 0.839 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.837, 0.935, 0.851 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.849, 0.934, 0.864 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.862, 0.515, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.67, 0.934, 0.686 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.684, 0.933, 0.697 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.696, 0.934, 0.712 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.709, 0.936, 0.724 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.722, 0.866, 0.737 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.873, 0.935, 0.892 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.885, 0.934, 0.905 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.9, 0.934, 0.916 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.912, 0.935, 0.931 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.925, 0.934, 0.942 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.517, 0.732, 0.535 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.745, 0.426, 0.763 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.116, 0.061, 0.934, 0.419 ], "angle": 0, "content": "| Epoch | ALNS-Base | T-ALNS | T-ALNS-RRD |\n|-------|-----------|--------|------------|\n| 5 | 3100 | 3080 | 3020 |\n| 10 | 2980 | 2880 | 2800 |\n| 15 | 2830 | 2710 | 2590 |\n| 20 | 2720 | 2590 | 2430 |\n| 25 | 2650 | 2500 | 2330 |\n| 30 | 2590 | 2430 | 2260 |\n| 35 | 2550 | 2390 | 2210 |\n| 40 | 2510 | 2350 | 2180 |\n| 45 | 2470 | 2320 | 2160 |\n| 50 | 2400 | 2300 | 2150 |", "sub_type": "line" }, { "type": "image_caption", "bbox": [ 0.258, 0.43, 0.457, 0.446 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.481, 0.508, 0.65 ], "angle": 0, "content": "
EpochALNS-BaseT-ALNST-ALNS-RRD
53,142.73,089.43,021.6
102,987.32,891.22,798.3
152,834.62,712.82,589.7
202,721.42,587.32,431.2
252,648.92,498.62,324.8
302,592.72,434.72,254.9
352,549.32,387.22,208.4
402,518.82,351.62,178.3
452,467.42,324.92,162.7
502,401.52,298.42,156.8
" }, { "type": "table_caption", "bbox": [ 0.258, 0.66, 0.681, 0.675 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.71, 0.932, 0.736 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.736, 0.932, 0.84 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.85, 0.37, 0.864 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.864, 0.932, 0.942 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.43, 0.456, 0.446 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.734, 0.932, 0.752 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.747, 0.936, 0.764 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.761, 0.935, 0.777 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.774, 0.933, 0.789 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.787, 0.934, 0.802 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.799, 0.935, 0.816 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.812, 0.934, 0.828 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.826, 0.826, 0.839 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.862, 0.937, 0.88 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.876, 0.933, 0.891 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.889, 0.936, 0.904 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.901, 0.936, 0.917 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.913, 0.934, 0.93 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.926, 0.934, 0.943 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.709, 0.933, 0.726 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.723, 0.689, 0.737 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.847, 0.372, 0.866 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.659, 0.681, 0.676 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.934, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.063, 0.848, 0.201 ], "angle": 0, "content": "
ConfigurationTotal costOTDR (%)CES scoreComputation time (sec)Performance gap
Base ALNS2,401.5±21.481.7±1.91,892.5±32.4298.4±23.6+11.3%
+ Move Tabu Only2,347.8±19.784.2±1.71,743.6±29.8312.7±25.1+8.9%
+ Solution Tabu Only2,368.4±20.183.6±1.81,798.2±31.2307.3±24.8+9.8%
+ Frequency Memory Only2,329.6±18.985.8±1.61,687.4±28.6318.9±26.3+8.0%
Full T-ALNS2,298.4±18.287.2±1.61,634.7±28.9267.3±21.8+6.6%
+ Traffic Events Only2,234.7±17.389.4±1.41,456.2±25.7251.6±20.4+3.6%
+ Urgent Delivery Only2,278.6±17.888.1±1.51,589.3±27.4249.8±20.1+5.7%
+ All RRD Events2,156.8±16.792.8±1.31,298.3±24.6243.7±19.40.0%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.211, 0.673, 0.226 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.261, 0.934, 0.53 ], "angle": 0, "content": "Component-wise Performance Analysis of T-ALNS-RRD Framework\n| Configuration | Total Cost | CES Score | OTDR (%) | Computation Time (s) | Performance Gap (%) |\n|---|---|---|---|---|---|\n| Base ALNS | 2400 | 1900 | 75 | 300 | 15 |\n| + Move Tabu Only | 2350 | 1750 | 78 | 315 | 14 |\n| + Solution Tabu Only | 2375 | 1800 | 78 | 312 | 13 |\n| + Frequency Memory Only | 2350 | 1680 | 79 | 325 | 12 |\n| Full T-ALNS | 2300 | 1630 | 81 | 270 | 11 |\n| + Traffic Events Only | 2250 | 1460 | 85 | 250 | 9 |\n| + Urgent Delivery Only | 2280 | 1580 | 84 | 248 | 8 |\n| + All RRD Events | 2150 | 1300 | 90 | 245 | 5 |", "sub_type": "bar_line" }, { "type": "image_caption", "bbox": [ 0.258, 0.542, 0.557, 0.556 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.591, 0.932, 0.643 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.643, 0.932, 0.77 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.77, 0.932, 0.898 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.898, 0.932, 0.938 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.977 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.639, 0.935, 0.66 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.655, 0.934, 0.671 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.667, 0.935, 0.684 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.681, 0.934, 0.696 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.693, 0.932, 0.708 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.706, 0.934, 0.721 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.717, 0.935, 0.736 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.732, 0.933, 0.747 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.745, 0.934, 0.76 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.757, 0.516, 0.773 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.769, 0.935, 0.787 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.781, 0.934, 0.8 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.795, 0.935, 0.811 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.807, 0.935, 0.825 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.822, 0.934, 0.837 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.832, 0.936, 0.851 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.847, 0.934, 0.862 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.86, 0.933, 0.875 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.873, 0.934, 0.888 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.885, 0.636, 0.901 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.896, 0.934, 0.914 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.909, 0.932, 0.926 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.924, 0.933, 0.939 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.59, 0.933, 0.607 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.602, 0.934, 0.621 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.617, 0.933, 0.632 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.63, 0.545, 0.645 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.541, 0.557, 0.557 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.211, 0.671, 0.226 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.932, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.063, 0.818, 0.157 ], "angle": 0, "content": "
Memory componentCycling preventionDiversification scoreSearch efficiencyMemory overhead (MB)
No Memory0.230.410.748.4±0.6
Move Tabu0.670.580.7912.7±0.8
Solution Tabu0.710.520.7715.3±1.1
Frequency Memory0.450.840.8118.9±1.3
Combined Memory0.890.910.8724.6±1.7
" }, { "type": "table_caption", "bbox": [ 0.258, 0.166, 0.536, 0.181 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.215, 0.934, 0.507 ], "angle": 0, "content": "Memory Structure Impact Analysis\n| Memory Component | Cycling Prevention | Diversification Score | Search Efficiency | Memory Overhead (MB) |\n|---|---|---|---|---|\n| No Memory | 0.23 | 0.41 | 0.74 | 8.5 |\n| Move Tabu | 0.67 | 0.58 | 0.79 | 12.8 |\n| Solution Tabu | 0.71 | 0.52 | 0.77 | 15.2 |\n| Frequency Memory | 0.45 | 0.84 | 0.81 | 19.0 |\n| Combined Memory | 0.89 | 0.90 | 0.86 | 24.5 |", "sub_type": "bar_line" }, { "type": "table_caption", "bbox": [ 0.258, 0.519, 0.527, 0.535 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.57, 0.787, 0.649 ], "angle": 0, "content": "
RRD featureEvent response rateCost reductionAdaptation successLatency impact (ms)
No RRD0.0%0.0%N/A0.0
Basic Rollout78.4%3.2%82.1%+89.7
Tabu-Guided Rollout87.6%4.8%91.3%+127.4
Full RRD System94.2%6.2%94.2%+143.7
" }, { "type": "table_caption", "bbox": [ 0.258, 0.659, 0.54, 0.673 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.708, 0.934, 0.837 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.848, 0.527, 0.862 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.862, 0.932, 0.94 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.166, 0.537, 0.181 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.519, 0.528, 0.535 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.658, 0.542, 0.673 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.846, 0.527, 0.865 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.707, 0.935, 0.724 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.721, 0.933, 0.736 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.733, 0.934, 0.749 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.747, 0.934, 0.762 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.759, 0.934, 0.774 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.77, 0.935, 0.788 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.785, 0.934, 0.8 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.798, 0.934, 0.813 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.81, 0.935, 0.826 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.822, 0.511, 0.839 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.862, 0.932, 0.876 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.874, 0.934, 0.889 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.885, 0.935, 0.902 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.9, 0.934, 0.914 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.913, 0.934, 0.927 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.925, 0.935, 0.941 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.14, 0.062, 0.934, 0.157 ], "angle": 0, "content": "
AlgorithmLow uncertainty (σ=0.1)Medium uncertainty (σ=0.2)High uncertainty (σ=0.3)Extreme uncertainty (σ=0.5)Robustness Index
Static-VRPTW2,789.4±18.72,947.8±31.23,184.6±47.83,521.3±68.40.21
TA-VRPTW-Greedy2,587.2±16.32,698.5±24.62,867.4±38.93,156.7±52.10.34
ALNS-Base2,356.8±19.12,467.3±26.82,634.2±41.22,898.6±58.70.48
T-ALNS2,267.1±17.42,341.6±22.92,478.3±35.62,687.9±49.30.56
T-ALNS-RRD2,134.2±15.82,189.7±19.42,298.4±28.72,456.3±38.90.73
" }, { "type": "table_caption", "bbox": [ 0.258, 0.166, 0.645, 0.181 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.215, 0.932, 0.507 ], "angle": 0, "content": "Performance Under Varying Traffic Uncertainty Levels\n| Algorithm | Low Uncertainty (σ=0.1) | Medium Uncertainty (σ=0.2) | High Uncertainty (σ=0.3) | Extreme Uncertainty (σ=0.5) | Robustness Index |\n|---|---|---|---|---|---|\n| Static-VRPTW | 2800 | 2950 | 3200 | 3500 | 0.2 |\n| TA-VRPTW-Greedy | 2600 | 2700 | 2850 | 3150 | 0.35 |\n| ALNS-Base | 2350 | 2450 | 2650 | 2900 | 0.48 |\n| T-ALNS | 2250 | 2350 | 2450 | 2700 | 0.55 |\n| T-ALNS-RRD | 2150 | 2180 | 2300 | 2450 | 0.7 |\nThe chart displays a bar chart with an overlaid line graph showing the Average Total Cost for each algorithm under different traffic uncertainty levels. The Robustness Index is also plotted on the right axis.", "sub_type": "bar_line" }, { "type": "table_caption", "bbox": [ 0.258, 0.519, 0.634, 0.534 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.57, 0.922, 0.664 ], "angle": 0, "content": "
AlgorithmOTDR drop (%)Max delay increase (min)Failed deliveriesRecovery time (min)Adaptation frequency
Static-VRPTW-28.4+34.78.7 \\pm 1.4N/A0.0
TA-VRPTW-Greedy-22.1+27.36.9 \\pm 1.2N/A0.0
ALNS-Base-16.7+19.84.3 \\pm 0.9N/A0.0
T-ALNS-12.9+15.43.1 \\pm 0.7N/A0.0
T-ALNS-RRD-6.8+8.21.4 \\pm 0.43.7 \\pm 0.841.6 \\pm 4.2
" }, { "type": "table_caption", "bbox": [ 0.258, 0.673, 0.645, 0.688 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.723, 0.932, 0.774 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.774, 0.932, 0.889 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.889, 0.932, 0.942 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.165, 0.645, 0.181 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.518, 0.635, 0.534 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.672, 0.648, 0.689 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.774, 0.934, 0.789 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.786, 0.934, 0.802 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.799, 0.933, 0.815 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.811, 0.933, 0.828 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.825, 0.934, 0.84 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.837, 0.935, 0.854 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.85, 0.934, 0.866 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.863, 0.933, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.877, 0.922, 0.891 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.723, 0.933, 0.738 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.735, 0.932, 0.75 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.747, 0.933, 0.764 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.762, 0.499, 0.776 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.89, 0.933, 0.903 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.901, 0.933, 0.916 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.914, 0.934, 0.93 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.926, 0.935, 0.944 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.063, 0.822, 0.157 ], "angle": 0, "content": "
Scenario TypeT-ALNS-RRD performanceBaseline degradationAdaptation successCost variance
Rush Hour Peaks2,298.7 \\pm 28.92,687.4 \\pm 45.796.3%12.4%
Random Accidents2,342.8 \\pm 31.42,789.6 \\pm 52.391.7%18.7%
Weather Disruptions2,267.3 \\pm 26.12,634.2 \\pm 48.994.8%15.2%
Road Closures2,389.4 \\pm 33.72,856.9 \\pm 58.189.4%21.6%
Combined Stress2,456.8 \\pm 35.23,021.7 \\pm 67.487.9%23.8%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.166, 0.504, 0.181 ], "angle": 0, "content": null }, { "type": "chart", "bbox": [ 0.117, 0.215, 0.936, 0.508 ], "angle": 0, "content": "Traffic Scenario Stress Testing\n| Scenario Type | T-ALNS-RRD Performance ($) | Baseline Degradation ($) | Adaptation Success (%) | Cost Variance (%) |\n| :--- | :--- | :--- | :--- | :--- |\n| Rush Hour Peaks | 2300 | 2700 | 98 | 15 |\n| Random Accidents | 2350 | 2800 | 92 | 25 |\n| Weather Disruptions | 2280 | 2630 | 96 | 18 |\n| Road Closures | 2400 | 2850 | 89 | 22 |\n| Combined Stress | 2470 | 3020 | 87 | 24 |", "sub_type": "bar_line" }, { "type": "image_caption", "bbox": [ 0.257, 0.519, 0.5, 0.535 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.568, 0.932, 0.646 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.646, 0.932, 0.788 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.798, 0.498, 0.811 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.812, 0.932, 0.94 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.882, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "inline_formula", "bbox": [ 0.567, 0.824, 0.611, 0.838 ], "latex": "t _ { i j } \\left( T \\right)", "score": 0.827 }, { "type": "inline_formula", "bbox": [ 0.644, 0.825, 0.695, 0.839 ], "latex": "\\rho _ { \\it i j } \\left( T \\right)", "score": 0.8711 }, { "type": "inline_formula", "bbox": [ 0.394, 0.901, 0.44, 0.915 ], "latex": "t _ { i j } \\left( T _ { i } \\right)", "score": 0.7586 }, { "type": "inline_formula", "bbox": [ 0.64, 0.875, 0.745, 0.889 ], "latex": "s \\in \\{ 1 , \\ldots , 3 0 \\}", "score": 0.8865 }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.811, 0.932, 0.825 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.823, 0.566, 0.84 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.612, 0.823, 0.643, 0.84 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.695, 0.823, 0.935, 0.84 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.837, 0.934, 0.852 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.848, 0.934, 0.864 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.862, 0.934, 0.877 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.874, 0.639, 0.892 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.746, 0.874, 0.935, 0.892 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.888, 0.934, 0.903 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.901, 0.393, 0.916 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.441, 0.901, 0.932, 0.916 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.912, 0.934, 0.93 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.925, 0.33, 0.943 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.569, 0.934, 0.583 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.581, 0.934, 0.596 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.593, 0.934, 0.61 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.605, 0.934, 0.623 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.62, 0.934, 0.634 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.633, 0.636, 0.648 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.645, 0.933, 0.661 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.658, 0.934, 0.674 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.671, 0.934, 0.687 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.684, 0.933, 0.7 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.696, 0.935, 0.713 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.709, 0.935, 0.725 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.721, 0.935, 0.737 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.734, 0.933, 0.75 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.747, 0.934, 0.763 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.759, 0.935, 0.777 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.774, 0.348, 0.789 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.164, 0.504, 0.183 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.517, 0.501, 0.536 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.797, 0.499, 0.813 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.26, 0.062, 0.923, 0.202 ], "angle": 0, "content": "
AlgorithmTotal CostOTDR (%)CES ScoreComputation Time (sec)Gap from Best (%)
Advanced ALNS Variants
GA-ALNS (Fan et al. 2021)2,456.8 \\pm 21.783.6 \\pm 1.71,743.9 \\pm 31.8234.6 \\pm 21.4+13.9%
GA-VNS (Li et al. 2024)2,387.4 \\pm 19.885.2 \\pm 1.61,687.3 \\pm 29.2278.9 \\pm 24.7+10.7%
Traffic-Aware Methods
Dynamic VRP-ACO (Necula et al. 2017)2,323.7 \\pm 18.986.8 \\pm 1.51,534.2 \\pm 27.6298.7 \\pm 26.3+7.7%
ML-Enhanced ALNS (Johnn et al.2024)2,298.6 \\pm 18.187.3 \\pm 1.41,498.7 \\pm 26.9312.4 \\pm 28.1+6.6%
Proposed Method
T-ALNS-RRD2,156.8 \\pm 16.792.8 \\pm 1.31,298.3 \\pm 24.6243.7 \\pm 19.40.0%
" }, { "type": "table_caption", "bbox": [ 0.258, 0.211, 0.731, 0.226 ], "angle": 0, "content": null }, { "type": "table", "bbox": [ 0.212, 0.263, 0.934, 0.341 ], "angle": 0, "content": "
AlgorithmTotal costOTDRCES score
GA-ALNS vs. T-ALNS-RRDt=8.42, df=29, p<0.001, d=2.31t=-9.17, df=29, p<0.001, d=-2.51t=6.93, df=29, p<0.001, d=1.89
GA-VNS vs. T-ALNS-RRDt=7.89, df=29, p<0.001, d=2.17t=-8.43, df=29, p<0.001, d=-2.32t=6.44, df=29, p<0.001, d=1.76
Dynamic VRP-ACO vs. T-ALNS-RRDt=6.73, df=29, p<0.001, d=1.85t=-7.82, df=29, p<0.001, d=-2.15t=5.91, df=29, p<0.001, d=1.62
ML-Enhanced ALNS vs. T-ALNS-RRDt=4.92, df=29, p<0.001, d=1.35t=-6.47, df=29, p<0.001, d=-1.78t=4.38, df=29, p<0.001, d=1.20
" }, { "type": "table_caption", "bbox": [ 0.258, 0.351, 0.629, 0.366 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.4, 0.932, 0.516 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.516, 0.932, 0.58 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.58, 0.932, 0.644 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.644, 0.932, 0.696 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.707, 0.461, 0.72 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.72, 0.932, 0.785 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.784, 0.932, 0.848 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.848, 0.932, 0.925 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.93, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.35, 0.631, 0.367 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.846, 0.933, 0.862 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.861, 0.934, 0.875 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.874, 0.933, 0.888 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.885, 0.933, 0.901 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.898, 0.934, 0.914 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.913, 0.313, 0.926 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.514, 0.933, 0.531 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.528, 0.933, 0.543 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.54, 0.933, 0.557 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.552, 0.933, 0.57 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.567, 0.411, 0.582 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.579, 0.934, 0.597 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.592, 0.933, 0.608 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.603, 0.933, 0.621 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.616, 0.934, 0.634 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.631, 0.776, 0.646 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.642, 0.934, 0.66 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.655, 0.933, 0.672 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.667, 0.933, 0.684 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.682, 0.58, 0.696 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.719, 0.934, 0.736 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.732, 0.934, 0.749 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.745, 0.933, 0.76 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.758, 0.934, 0.775 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.772, 0.695, 0.787 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.783, 0.933, 0.799 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.796, 0.933, 0.812 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.809, 0.933, 0.825 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.823, 0.933, 0.838 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.834, 0.746, 0.851 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.211, 0.732, 0.226 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.704, 0.464, 0.724 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.398, 0.934, 0.418 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.413, 0.933, 0.428 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.425, 0.933, 0.441 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.438, 0.934, 0.454 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.451, 0.933, 0.467 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.465, 0.933, 0.48 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.477, 0.933, 0.493 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.489, 0.934, 0.506 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.502, 0.62, 0.518 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.062, 0.722, 0.077 ], "angle": 0, "content": null }, { "type": "list", "bbox": [ 0.257, 0.086, 0.844, 0.14 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.086, 0.786, 0.1 ], "angle": 0, "content": "• GA-ALNS: Total Cost [267.3, 332.7], OTDR [-10.7, -7.7], CES Score [401.2, 490.0].", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.1, 0.77, 0.113 ], "angle": 0, "content": "• GA-VNS: Total Cost [198.9, 262.3], OTDR [-9.1, -6.1], CES Score [334.6, 443.4].", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.113, 0.842, 0.126 ], "angle": 0, "content": "- Dynamic VRP-ACO: Total Cost [135.2, 198.6], OTDR \\([-7.5, -4.5]\\), CES Score [201.3, 270.5].", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.126, 0.845, 0.139 ], "angle": 0, "content": "- ML-Enhanced ALNS: Total Cost [119.4, 164.2], OTDR \\([-6.8, -4.2]\\), CES Score [166.8, 234.0].", "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.149, 0.932, 0.176 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.188, 0.347, 0.202 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.202, 0.623, 0.216 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.216, 0.932, 0.305 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.305, 0.932, 0.395 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.395, 0.932, 0.485 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.484, 0.932, 0.524 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.534, 0.734, 0.548 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.548, 0.932, 0.612 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.612, 0.932, 0.688 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.688, 0.932, 0.766 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.766, 0.932, 0.792 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.257, 0.803, 0.566, 0.816 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.816, 0.932, 0.906 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.906, 0.932, 0.945 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.187, 0.349, 0.205 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.216, 0.934, 0.23 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.229, 0.934, 0.243 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.241, 0.935, 0.257 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.254, 0.934, 0.269 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.266, 0.934, 0.282 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.28, 0.933, 0.294 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.293, 0.453, 0.306 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.277, 0.303, 0.934, 0.321 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.316, 0.932, 0.333 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.331, 0.934, 0.345 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.343, 0.934, 0.359 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.356, 0.934, 0.37 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.368, 0.935, 0.385 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.38, 0.308, 0.398 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.393, 0.934, 0.41 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.408, 0.933, 0.421 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.42, 0.933, 0.435 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.433, 0.934, 0.448 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.445, 0.933, 0.46 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.459, 0.935, 0.474 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.471, 0.815, 0.487 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.61, 0.935, 0.627 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.625, 0.934, 0.639 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.636, 0.935, 0.653 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.649, 0.934, 0.665 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.661, 0.934, 0.679 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.676, 0.303, 0.689 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.687, 0.933, 0.704 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.7, 0.934, 0.717 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.713, 0.934, 0.73 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.727, 0.933, 0.742 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.74, 0.934, 0.754 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.753, 0.801, 0.768 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.816, 0.934, 0.831 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.829, 0.934, 0.844 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.842, 0.933, 0.856 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.853, 0.934, 0.87 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.868, 0.935, 0.883 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.88, 0.934, 0.895 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.893, 0.586, 0.908 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.147, 0.934, 0.165 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.162, 0.868, 0.177 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.801, 0.567, 0.819 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.276, 0.479, 0.935, 0.501 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.497, 0.933, 0.512 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.508, 0.626, 0.525 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.764, 0.932, 0.78 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.778, 0.932, 0.793 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.903, 0.933, 0.922 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.918, 0.933, 0.934 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.931, 0.932, 0.947 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.547, 0.934, 0.564 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.56, 0.934, 0.576 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.573, 0.933, 0.589 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.587, 0.932, 0.601 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.598, 0.653, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.123, 0.847, 0.141 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.201, 0.625, 0.218 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.085, 0.788, 0.102 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.061, 0.723, 0.08 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.534, 0.736, 0.551 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.911, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.098, 0.771, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.111, 0.845, 0.129 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.017, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.062, 0.932, 0.1 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.101, 0.932, 0.166 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.165, 0.932, 0.229 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.229, 0.932, 0.332 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.344, 0.35, 0.358 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.358, 0.932, 0.436 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.436, 0.932, 0.538 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.279, 0.538, 0.576, 0.552 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "list", "bbox": [ 0.258, 0.561, 0.932, 0.627 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.561, 0.92, 0.575 ], "angle": 0, "content": "1. a routing formulation that leverages time-dependent congestion data to support dynamic cost adaptation,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.575, 0.93, 0.599 ], "angle": 0, "content": "2. a three-tiered Tabu memory structure that enhances search stability and diversification under non-stationary traffic conditions,", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.599, 0.875, 0.613 ], "angle": 0, "content": "3. a rollout-based dispatch module enabling anticipatory decision-making for route disruptions, and.", "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.613, 0.731, 0.626 ], "angle": 0, "content": "4. empirical validation showing better performance over the tested baselines.", "merge_prev": false }, { "type": "text", "bbox": [ 0.256, 0.636, 0.932, 0.714 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.726, 0.393, 0.742 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.741, 0.932, 0.768 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.78, 0.575, 0.794 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.795, 0.475, 0.808 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.26, 0.823, 0.35, 0.836 ], "angle": 0, "content": null }, { "type": "list", "bbox": [ 0.264, 0.836, 0.932, 0.934 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.264, 0.836, 0.932, 0.859 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.264, 0.859, 0.932, 0.89 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.264, 0.89, 0.932, 0.912 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.264, 0.912, 0.932, 0.934 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.979 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.341, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.821, 0.353, 0.84 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.342, 0.352, 0.362 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.598, 0.878, 0.615 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.228, 0.934, 0.244 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.241, 0.934, 0.257 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.254, 0.934, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.267, 0.934, 0.282 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.279, 0.935, 0.295 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.292, 0.932, 0.307 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.305, 0.933, 0.32 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.318, 0.748, 0.333 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.434, 0.935, 0.451 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.448, 0.934, 0.464 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.461, 0.934, 0.477 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.474, 0.934, 0.489 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.487, 0.934, 0.502 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.5, 0.932, 0.514 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.512, 0.933, 0.527 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.525, 0.742, 0.539 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.358, 0.934, 0.374 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.371, 0.933, 0.387 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.384, 0.935, 0.401 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.397, 0.934, 0.413 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.41, 0.933, 0.425 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.423, 0.912, 0.437 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.635, 0.934, 0.652 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.648, 0.934, 0.664 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.661, 0.933, 0.676 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.674, 0.934, 0.69 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.687, 0.934, 0.703 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.701, 0.375, 0.714 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.06, 0.934, 0.078 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.075, 0.933, 0.091 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.088, 0.373, 0.102 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.56, 0.922, 0.578 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.573, 0.933, 0.588 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.587, 0.415, 0.6 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.737, 0.934, 0.759 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.754, 0.379, 0.768 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.834, 0.934, 0.851 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.847, 0.5, 0.861 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.857, 0.932, 0.871 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.869, 0.932, 0.881 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.879, 0.401, 0.891 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.89, 0.933, 0.903 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.9, 0.544, 0.914 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.263, 0.91, 0.933, 0.925 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.924, 0.505, 0.934 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.795, 0.476, 0.81 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.963, 0.282, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.1, 0.933, 0.116 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.113, 0.935, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.124, 0.934, 0.142 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.139, 0.933, 0.155 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.153, 0.629, 0.168 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.278, 0.162, 0.934, 0.182 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.177, 0.933, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.189, 0.933, 0.206 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.202, 0.933, 0.219 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.215, 0.914, 0.23 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.537, 0.577, 0.553 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.781, 0.577, 0.795 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.724, 0.395, 0.745 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.611, 0.734, 0.628 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "list", "bbox": [ 0.256, 0.059, 0.936, 0.945 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.265, 0.062, 0.932, 0.084 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.265, 0.085, 0.932, 0.105 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.266, 0.106, 0.858, 0.117 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.266, 0.117, 0.932, 0.138 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.266, 0.139, 0.932, 0.159 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.16, 0.932, 0.18 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.181, 0.932, 0.213 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.214, 0.932, 0.235 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.236, 0.932, 0.256 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.257, 0.932, 0.277 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.278, 0.932, 0.299 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.3, 0.932, 0.321 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.322, 0.932, 0.342 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.343, 0.932, 0.363 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.364, 0.932, 0.385 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.386, 0.838, 0.396 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.397, 0.932, 0.417 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.418, 0.932, 0.439 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.44, 0.932, 0.46 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.461, 0.932, 0.482 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.483, 0.932, 0.503 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.504, 0.565, 0.514 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.515, 0.789, 0.525 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.526, 0.932, 0.546 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.547, 0.932, 0.579 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.58, 0.932, 0.6 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.601, 0.932, 0.621 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.622, 0.932, 0.643 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.644, 0.932, 0.664 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.665, 0.932, 0.685 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.686, 0.932, 0.707 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.708, 0.932, 0.728 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.729, 0.932, 0.75 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.751, 0.932, 0.772 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.773, 0.932, 0.793 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.794, 0.884, 0.804 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.805, 0.814, 0.815 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.816, 0.932, 0.835 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.836, 0.932, 0.857 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.858, 0.932, 0.879 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.88, 0.932, 0.901 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.902, 0.932, 0.922 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.26, 0.923, 0.932, 0.944 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.062, 0.933, 0.075 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.074, 0.708, 0.086 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.083, 0.935, 0.097 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.094, 0.476, 0.106 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.263, 0.115, 0.933, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.127, 0.489, 0.139 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.137, 0.934, 0.151 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.149, 0.505, 0.16 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.159, 0.933, 0.172 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.169, 0.323, 0.183 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.181, 0.933, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.19, 0.933, 0.205 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.201, 0.323, 0.215 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.21, 0.933, 0.227 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.223, 0.614, 0.236 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.233, 0.933, 0.247 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.245, 0.446, 0.257 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.255, 0.933, 0.269 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.266, 0.406, 0.278 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.276, 0.933, 0.29 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.288, 0.482, 0.301 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.299, 0.933, 0.311 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.31, 0.68, 0.322 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.321, 0.933, 0.333 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.331, 0.73, 0.343 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.341, 0.933, 0.355 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.353, 0.411, 0.365 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.36, 0.933, 0.377 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.374, 0.345, 0.386 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.394, 0.933, 0.408 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.406, 0.466, 0.418 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.416, 0.933, 0.43 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.428, 0.505, 0.439 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.438, 0.933, 0.45 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.449, 0.666, 0.461 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.458, 0.933, 0.473 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.471, 0.577, 0.483 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.48, 0.933, 0.495 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.492, 0.794, 0.504 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.524, 0.933, 0.536 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.535, 0.717, 0.547 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.546, 0.933, 0.558 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.556, 0.933, 0.568 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.566, 0.713, 0.581 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.575, 0.934, 0.592 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.588, 0.65, 0.602 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.597, 0.934, 0.614 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.61, 0.678, 0.623 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.619, 0.933, 0.634 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.632, 0.602, 0.644 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.643, 0.932, 0.655 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.653, 0.557, 0.666 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.663, 0.933, 0.677 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.674, 0.377, 0.686 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.684, 0.933, 0.698 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.696, 0.707, 0.709 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.706, 0.933, 0.72 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.718, 0.375, 0.73 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.726, 0.933, 0.742 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.74, 0.603, 0.75 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.747, 0.935, 0.764 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.76, 0.528, 0.774 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.769, 0.933, 0.786 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.782, 0.559, 0.794 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.812, 0.933, 0.827 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.825, 0.323, 0.837 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.835, 0.932, 0.848 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.846, 0.596, 0.858 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.857, 0.933, 0.869 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.868, 0.93, 0.879 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.877, 0.933, 0.891 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.888, 0.623, 0.902 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.9, 0.933, 0.912 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.911, 0.703, 0.923 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.92, 0.933, 0.935 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.932, 0.779, 0.944 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.501, 0.566, 0.516 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.512, 0.79, 0.527 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.802, 0.816, 0.816 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.791, 0.886, 0.806 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.264, 0.104, 0.859, 0.119 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.383, 0.839, 0.398 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "list", "bbox": [ 0.253, 0.058, 0.936, 0.474 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.062, 0.932, 0.084 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.085, 0.932, 0.106 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.106, 0.932, 0.127 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.128, 0.932, 0.149 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.149, 0.932, 0.171 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.171, 0.931, 0.192 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.192, 0.931, 0.213 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.213, 0.931, 0.235 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.235, 0.931, 0.256 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.256, 0.931, 0.278 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.278, 0.931, 0.299 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.299, 0.931, 0.321 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.321, 0.931, 0.342 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.342, 0.931, 0.364 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.364, 0.931, 0.385 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.385, 0.931, 0.407 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.407, 0.931, 0.428 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.429, 0.931, 0.449 ], "angle": 0, "content": null }, { "type": "ref_text", "bbox": [ 0.258, 0.449, 0.931, 0.471 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.485, 0.421, 0.5 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.5, 0.357, 0.513 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.525, 0.43, 0.539 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.54, 0.931, 0.567 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.579, 0.364, 0.594 ], "angle": 0, "content": null }, { "type": "title", "bbox": [ 0.258, 0.607, 0.424, 0.623 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.623, 0.524, 0.636 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.648, 0.391, 0.664 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.256, 0.664, 0.932, 0.741 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "title", "bbox": [ 0.258, 0.753, 0.445, 0.767 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.258, 0.768, 0.694, 0.781 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.786, 0.75, 0.801 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.257, 0.805, 0.932, 0.832 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.978 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.523, 0.432, 0.543 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.752, 0.446, 0.77 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.661, 0.888, 0.679 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.675, 0.886, 0.691 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.689, 0.933, 0.703 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.699, 0.924, 0.717 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.714, 0.898, 0.73 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.728, 0.571, 0.742 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.059, 0.933, 0.077 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.072, 0.739, 0.086 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.083, 0.934, 0.097 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.095, 0.603, 0.107 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.104, 0.933, 0.118 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.116, 0.537, 0.128 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.126, 0.934, 0.14 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.138, 0.648, 0.149 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.148, 0.934, 0.161 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.159, 0.914, 0.172 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.17, 0.933, 0.182 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.18, 0.816, 0.192 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.19, 0.933, 0.205 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.201, 0.629, 0.213 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.213, 0.933, 0.225 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.224, 0.742, 0.236 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.233, 0.934, 0.248 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.245, 0.836, 0.257 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.254, 0.935, 0.27 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.266, 0.933, 0.28 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.276, 0.932, 0.288 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.288, 0.687, 0.3 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.299, 0.933, 0.311 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.308, 0.889, 0.322 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.319, 0.933, 0.333 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.331, 0.684, 0.343 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.341, 0.934, 0.355 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.352, 0.827, 0.366 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.361, 0.933, 0.377 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.281, 0.374, 0.624, 0.385 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.384, 0.934, 0.398 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.395, 0.751, 0.408 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.406, 0.933, 0.418 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.28, 0.416, 0.9, 0.43 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.427, 0.933, 0.439 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.282, 0.438, 0.607, 0.45 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.257, 0.448, 0.933, 0.462 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.279, 0.459, 0.711, 0.472 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.539, 0.933, 0.555 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.552, 0.838, 0.569 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.805, 0.934, 0.822 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.817, 0.407, 0.833 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.578, 0.366, 0.597 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.647, 0.393, 0.667 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.933, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.483, 0.423, 0.502 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.606, 0.427, 0.626 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.26, 0.787, 0.75, 0.801 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.766, 0.695, 0.784 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.621, 0.526, 0.638 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.498, 0.359, 0.514 ], "text": "", "score": 1.0 } ], [ { "type": "header", "bbox": [ 0.066, 0.016, 0.338, 0.032 ], "angle": 0, "content": null }, { "type": "text", "bbox": [ 0.257, 0.062, 0.935, 0.192 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "text", "bbox": [ 0.258, 0.203, 0.395, 0.217 ], "angle": 0, "content": null, "merge_prev": false }, { "type": "footer", "bbox": [ 0.067, 0.966, 0.279, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.377, 0.966, 0.634, 0.98 ], "angle": 0, "content": null }, { "type": "footer", "bbox": [ 0.788, 0.965, 0.881, 0.979 ], "angle": 0, "content": null }, { "type": "page_number", "bbox": [ 0.912, 0.966, 0.931, 0.978 ], "angle": 0, "content": null }, { "type": "ocr_text", "bbox": [ 0.063, 0.015, 0.34, 0.033 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.375, 0.966, 0.635, 0.982 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.787, 0.964, 0.883, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.261, 0.063, 0.933, 0.077 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.075, 0.935, 0.09 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.087, 0.933, 0.103 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.101, 0.933, 0.115 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.256, 0.113, 0.935, 0.129 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.126, 0.933, 0.14 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.138, 0.935, 0.154 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.151, 0.933, 0.166 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.164, 0.935, 0.18 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.258, 0.178, 0.445, 0.193 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.065, 0.964, 0.281, 0.983 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.91, 0.965, 0.934, 0.979 ], "text": "", "score": 1.0 }, { "type": "ocr_text", "bbox": [ 0.259, 0.203, 0.397, 0.218 ], "text": "", "score": 1.0 } ] ]