Research Article
Column Generation for a Multitrip Vehicle Routing Problem with Time Windows, Driver Work Hours, and Heterogeneous Fleet
Table 1
Results obtained for R1 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 |
| R101 | 50 | 1 | 967.497 | 235 | 955.531 | 2 | 1.237 | 45 | R102 | 50 | 1 | 805.559 | 323 | 770.943 | 4 | 4.297 | 47 | R103 | 50 | 1 | 657.448 | 375 | 642.114 | 20 | 2.332 | 84 | R104 | 50 | 1 | 606.484 | 436 | 599.376 | 34 | 1.172 | 63 | R105 | 50 | 1 | 742.452 | 283 | 722.445 | 4 | 2.695 | 86 | R106 | 50 | 1 | 679.535 | 357 | 665.543 | 11 | 2.059 | 77 | R107 | 50 | 1 | 604.177 | 394 | 598.596 | 17 | 0.924 | 63 | R108 | 50 | 1 | 594.898 | 440 | 586.373 | 58 | 1.433 | 69 | R109 | 50 | 1 | 624.043 | 342 | 623.274 | 5 | 0.123 | 65 | R110 | 50 | 1 | 612.588 | 401 | 599.062 | 12 | 2.208 | 81 | R111 | 50 | 1 | 606.677 | 402 | 601.543 | 13 | 0.846 | 56 | R112 | 50 | 1 | 604.155 | 453 | 588.483 | 22 | 2.594 | 63 | | | | 675.459 | 370 | 662.774 | 17 | 1.827 | 67 |
| R101 | 50 | 2 | 978.249 | 437 | 955.531 | 1 | 2.322 | 46 | R102 | 50 | 2 | 796.028 | 549 | 770.479 | 6 | 3.210 | 85 | R103 | 50 | 2 | 656.540 | 610 | 642.114 | 42 | 2.197 | 89 | R104 | 50 | 2 | 607.629 | 683 | 599.214 | 197 | 1.385 | 71 | R105 | 50 | 2 | 753.951 | 507 | 721.848 | 3 | 4.258 | 89 | R106 | 50 | 2 | 677.576 | 598 | 663.198 | 20 | 2.122 | 103 | R107 | 50 | 2 | 604.177 | 644 | 598.596 | 46 | 0.924 | 98 | R108 | 50 | 2 | 596.087 | 647 | 584.634 | 255 | 1.921 | 89 | R109 | 50 | 2 | 627.399 | 582 | 623.274 | 8 | 0.657 | 82 | R110 | 50 | 2 | 612.588 | 652 | 599.062 | 23 | 2.208 | 91 | R111 | 50 | 2 | 608.576 | 658 | 600.540 | 29 | 1.320 | 96 | R112 | 50 | 2 | 599.212 | 710 | 588.442 | 46 | 1.797 | 66 | | | | 676.501 | 606 | 662.244 | 56 | 2.027 | 84 |
| R101 | 50 | 3 | 962.944 | 549 | 955.531 | 1 | 0.770 | 41 | R102 | 50 | 3 | 803.934 | 679 | 770.479 | 5 | 4.161 | 49 | R103 | 50 | 3 | 656.540 | 761 | 642.114 | 60 | 2.197 | 92 | R104 | 50 | 3 | 608.651 | 844 | 599.214 | 314 | 1.550 | 91 | R105 | 50 | 3 | 742.080 | 646 | 721.848 | 4 | 2.726 | 93 | R106 | 50 | 3 | 669.851 | 750 | 663.198 | 25 | 0.993 | 100 | R107 | 50 | 3 | 604.177 | 811 | 598.596 | 53 | 0.924 | 67 | R108 | 50 | 3 | 598.581 | 796 | 584.634 | 432 | 2.330 | 94 | R109 | 50 | 3 | 625.534 | 733 | 623.274 | 10 | 0.361 | 50 | R110 | 50 | 3 | 613.450 | 816 | 599.062 | 33 | 2.345 | 89 | R111 | 50 | 3 | 606.677 | 823 | 600.540 | 42 | 1.012 | 92 | R112 | 50 | 3 | 601.904 | 893 | 588.442 | 75 | 2.237 | 67 | | | | 674.527 | 758 | 662.244 | 88 | 1.801 | 77 |
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