Research Article
Column Generation for a Multitrip Vehicle Routing Problem with Time Windows, Driver Work Hours, and Heterogeneous Fleet
Table 2
Results obtained for R2 instances with the first 50 customers.
| Instance | Customer qty. | Route qty. | Heuristic cost | Heuristic time (s) | Lower bound | Lower bound time (s) | Heuristic error (%) | Iterations |
| R201 | 50 | 1 | 629.643 | 323 | 617.533 | 3 | 1.923 | 56 | R202 | 50 | 1 | 580.792 | 388 | 540.406 | 758 | 6.954 | 60 | R203 | 50 | 1 | 542.673 | 892 | 515.961 | 33367 | 4.922 | 88 | R204 | 50 | 1 | 504.971 | 1050 |
*
|
*
|
*
|
*
| R205 | 50 | 1 | 582.809 | 423 | 563.371 | 41 | 3.335 | 83 | R206 | 50 | 1 | 548.465 | 541 | 529.240 | 520 | 3.505 | 83 | R207 | 50 | 1 | 522.382 | 557 |
*
|
*
|
*
|
*
| R208 | 50 | 1 | 508.412 | 1090 |
*
|
*
|
*
|
*
| R209 | 50 | 1 | 543.668 | 833 | 526.939 | 814 | 3.077 | 75 | R210 | 50 | 1 | 556.702 | 532 | 532.627 | 493 | 4.325 | 76 | R211 | 50 | 1 | 514.903 | 985 | 489.296 | 4843 | 4.973 | 92 | | | | 548.675 | 692 | 539.422 | 5105 | 4.127 | 77 |
| R201 | 50 | 2 | 631.263 | 521 | 617.533 | 6 | 2.175 | 83 | R202 | 50 | 2 | 584.234 | 603 | 552.827 | 2712 | 5.376 | 88 | R203 | 50 | 2 | 547.387 | 726 |
*
|
*
|
*
|
*
| R204 | 50 | 2 | 516.083 | 832 |
*
|
*
|
*
|
*
| R205 | 50 | 2 | 585.736 | 660 | 563.292 | 213 | 3.832 | 90 | R206 | 50 | 2 | 546.744 | 680 | 527.546 | 5298 | 3.511 | 92 | R207 | 50 | 2 | 523.277 | 771 |
*
|
*
|
*
|
*
| R208 | 50 | 2 | 509.368 | 851 |
*
|
*
|
*
|
*
| R209 | 50 | 2 | 552.351 | 1224 | 519.866 | 2944 | 5.881 | 94 | R210 | 50 | 2 | 559.125 | 655 | 530.574 | 2736 | 5.106 | 87 | R211 | 50 | 2 | 524.933 | 776 | 491.795 | 22175 | 6.313 | 105 | | | | 552.773 | 754 | 543.348 | 5155 | 4.599 | 91 |
| R201 | 50 | 3 | 637.648 | 655 | 617.533 | 18 | 3.155 | 91 | R202 | 50 | 3 | 581.999 | 756 | 555.689 | 8441 | 4.521 | 91 | R203 | 50 | 3 | 546.259 | 871 |
*
|
*
|
*
|
*
| R204 | 50 | 3 | 514.158 | 1002 |
*
|
*
|
*
|
*
| R205 | 50 | 3 | 585.951 | 823 | 562.820 | 1051 | 3.948 | 84 | R206 | 50 | 3 | 552.396 | 825 | 526.078 | 25137 | 4.764 | 95 | R207 | 50 | 3 | 531.691 | 880 |
*
|
*
|
*
|
*
| R208 | 50 | 3 | 507.904 | 1039 |
*
|
*
|
*
|
*
| R209 | 50 | 3 | 550.108 | 854 | 517.297 | 7351 | 5.964 | 101 | R210 | 50 | 3 | 559.496 | 859 | 534.958 | 18095 | 4.386 | 91 | R211 | 50 | 3 | 524.667 | 954 | 494.806 | 92018 | 5.691 | 109 | | | | 553.843 | 865 | 544.169 | 21730 | 4.633 | 95 |
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Value of cells marked with * were not computed due to an overall time greater than 93000 s.
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