Research Article
Hybrid Genetic Algorithms for the Asymmetric Distance-Constrained Vehicle Routing Problem
Table 11
Results of restricted ADVRP where
Dmax = 0.9
Max
2 is used.
| INST | n | M | Dmax | Max3 | GA | GA-INS | GA-INV | GA-SWP | GA-ADP | AS | SD | AT | AS | SD | AT | AI | AS | SD | AT | AI | AS | SD | AT | AI | AS | SD | AT | AI |
| br17 | 17 | 2 | 28 | 28 | 46.00 | 0.00 | 0.00 | 46.00 | 0.00 | 0.00 | 0.00 | 46.00 | 0.00 | 0.00 | 0.00 | 46.00 | 0.00 | 0.00 | 0.00 | 46.00 | 0.00 | 0.00 | 0.00 | ftv33 | 34 | 2 | 790 | 786 | 1478.23 | 23.02 | 0.24 | 1408.43 | 19.41 | 0.12 | 4.96 | 1426.78 | 17.18 | 0.37 | 3.61 | 1436.07 | 22.15 | 0.10 | 2.94 | 1405.73 | 19.21 | 0.06 | 5.16 | 3 | 790 | 748 | 1484.30 | 26.33 | 0.34 | 1393.30 | 14.25 | 0.15 | 6.53 | 1409.30 | 43.93 | 0.26 | 5.32 | 1403.23 | 22.79 | 0.21 | 5.78 | 1388.00 | 0.00 | 0.10 | 6.94 | ftv35 | 36 | 3 | 798 | 780 | 1769.78 | 61.73 | 0.24 | 1625.03 | 29.24 | 0.35 | 8.91 | 1703.43 | 149.72 | 0.32 | 3.90 | 1681.20 | 76.93 | 0.24 | 5.27 | 1617.07 | 70.57 | 0.21 | 9.44 | ftv38 | 39 | 3 | 716 | 671 | 1853.23 | 73.12 | 0.35 | 1693.50 | 26.58 | 0.26 | 9.43 | — | — | — | — | 1778.37 | 42.81 | 0.21 | 4.21 | 1687.27 | 77.94 | 0.34 | 9.84 | ftv44 | 45 | 3 | 823 | 657 | 2049.86 | 78.32 | 1.03 | 1828.80 | 72.03 | 0.34 | 12.09 | 1987.73 | 95.21 | 0.34 | 3.13 | 1890.27 | 65.21 | 1.05 | 8.44 | 1860.50 | 59.94 | 0.65 | 10.18 | ftv47 | 48 | 3 | 1143 | 957 | 2208.46 | 45.49 | 0.61 | 1944.73 | 9.21 | 1.07 | 13.56 | 1988.13 | 37.25 | 1.08 | 11.08 | 1969.10 | 43.19 | 1.06 | 12.16 | 1936.47 | 26.83 | 1.06 | 14.05 | ry48p | 48 | 2 | 11226 | 10872 | 17090.50 | 288.57 | 1.03 | 15048.43 | 115.14 | 1.39 | 13.57 | 14946.30 | 119.80 | 1.27 | 14.35 | 15124.60 | 193.42 | 1.05 | 13.00 | 14945.57 | 112.57 | 1.54 | 14.35 | | | 3 | 10986 | 10904 | 17131.78 | 296.36 | 0.61 | 15455.63 | 162.93 | 1.29 | 10.84 | 15390.07 | 96.14 | 1.13 | 11.32 | 15433.70 | 47.05 | 1.32 | 11.00 | 15340.63 | 82.47 | 1.27 | 11.68 | ftv55 | 56 | 3 | 766 | 736 | 2011.18 | 81.42 | 1.39 | 1820.17 | 20.66 | 1.80 | 10.49 | 1880.20 | 43.50 | 1.81 | 6.97 | 1822.70 | 44.53 | 2.21 | 10.34 | 1798.93 | 32.57 | 2.13 | 11.80 | ftv64 | 65 | 2 | 1202 | 1059 | 2242.23 | 78.34 | 1.32 | 1964.23 | 28.50 | 1.44 | 14.15 | — | — | — | — | 2010.07 | 64.82 | 2.16 | 11.55 | 1939.73 | 36.53 | 2.53 | 15.59 | 3 | 955 | 705 | 2318.26 | 92.56 | 2.05 | 2073.07 | 45.03 | 1.62 | 11.83 | 2157.27 | 75.26 | 2.31 | 7.46 | 2139.07 | 78.26 | 2.89 | 8.38 | 2058.43 | 73.28 | 3.06 | 12.62 | ft70 | 70 | 3 | 18059 | 16232 | 44730.41 | 304.83 | 3.63 | 41931.23 | 162.88 | 2.56 | 6.68 | 43881.17 | 410.78 | 4.54 | 1.94 | 42129.47 | 405.29 | 4.37 | 6.17 | 41776.10 | 421.49 | 5.17 | 7.07 | ftv70 | 71 | 2 | 1467 | 1067 | 2320.18 | 25.16 | 3.57 | 2166.03 | 62.12 | 2.98 | 7.12 | 2297.43 | 44.00 | 4.44 | 0.99 | 2076.40 | 39.24 | 4.09 | 11.74 | 2082.90 | 31.18 | 4.33 | 11.39 | 3 | 1521 | 1215 | 2322.59 | 34.95 | 3.11 | 2073.20 | 55.13 | 3.24 | 12.03 | 2255.23 | 51.37 | 3.32 | 2.99 | 2061.37 | 34.12 | 5.58 | 12.67 | 2063.67 | 37.98 | 4.59 | 12.55 | kro124p | 100 | 2 | 20751 | 19719 | — | — | — | 40602.53 | 894.25 | 5.82 | — | — | — | — | — | 40109.33 | 684.12 | 5.96 | — | 40351.37 | 423.12 | 8.02 | — | 3 | 17638 | 14999 | 48560.23 | 345.21 | 5.65 | 41801.93 | 1228.00 | 5.77 | 16.17 | 42842.53 | 465.71 | 6.11 | 13.35 | 40445.80 | 743.17 | 7.60 | 20.06 | 40559.37 | 858.64 | 8.02 | 19.73 | Average | 9351.08 | 115.96 | 1.57 | 10286.84 | 173.26 | 1.52 | 9.90 | 9586.54 | 117.85 | 1.95 | 6.17 | 10209.22 | 153.36 | 2.13 | 8.98 | 10168.10 | 139.08 | 2.53 | 10.77 | |
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