Research Article
Dynamic Vehicle Routing Using an Improved Variable Neighborhood Search Algorithm
Table 7
The comparison results of Lackner and IVNS.
| No. | Dod (%) | Average vehicle number | Average driving distance/km | Average calculating time/s | IVNS | Lackner | ARE (%) | IVNS | Lackner | ARE (%) | IVNS | Lackner | ARE(%) |
| R1 | 90 | 14.25 | 15.15 | −5.94 | 1343.82 | 1278.33 | 5.12 | 16.87 | 17.85 | −5.49 | 70 | 14.23 | 15.02 | −5.26 | 1331.35 | 1336.1 | −0.36 | 19.06 | 19.87 | −4.08 | 50 | 15.23 | 14.19 | 7.33 | 1293.81 | 1329.98 | −2.72 | 25.69 | 27.46 | −6.45 | 30 | 13.47 | 14.22 | −5.27 | 1286.63 | 1337.86 | −3.83 | 48.34 | 46.97 | 2.92 | 10 | 14.8 | 13.9 | 6.47 | 1259.18 | 1278.06 | −1.48 | 70.01 | 68.01 | 2.94 |
| C1 | 90 | 11.25 | 11.78 | −4.50 | 1235.47 | 1479.6 | −16.50 | 6.31 | 6.47 | −2.47 | 70 | 11.26 | 11.87 | −5.14 | 1031.78 | 1261.3 | −18.20 | 11.08 | 10.81 | 2.50 | 50 | 12.21 | 11.97 | 2.01 | 1072.32 | 1236.06 | −13.25 | 17.77 | 18.32 | −3.00 | 30 | 10.57 | 10.54 | 0.28 | 970.8 | 1066.89 | −9.01 | 28.06 | 27.08 | 3.62 | 10 | 10.23 | 10.78 | −5.10 | 895.68 | 996.35 | −10.10 | 42.46 | 44.25 | −4.05 |
| RC1 | 90 | 15 | 15 | 0.00 | 1506.43 | 1475.21 | 2.12 | 17.66 | 17.04 | 3.64 | 70 | 13.58 | 14.65 | −7.30 | 1513.23 | 1488.44 | 1.67 | 24.12 | 28.5 | −15.37 | 50 | 13.19 | 12.57 | 4.93 | 1519.12 | 1448.07 | 4.91 | 49.84 | 47.98 | 3.88 | 30 | 12.98 | 13.43 | −3.35 | 1489.96 | 1439.71 | 3.49 | 44.12 | 46.21 | −4.52 | 10 | 12.88 | 13.15 | −2.05 | 1431.79 | 1426.89 | 0.34 | 86.78 | 88.21 | −1.62 |
| R2 | 90 | 3.23 | 3.56 | −9.27 | 1045.89 | 1193.33 | −12.36 | 14.1 | 13.9 | 1.44 | 70 | 3.79 | 3.61 | 4.99 | 1034.22 | 1116.93 | −7.41 | 19.32 | 21.75 | −11.17 | 50 | 3.33 | 3.65 | −8.77 | 1012.11 | 1138.78 | −11.12 | 32.11 | 32.08 | 0.09 | 30 | 4.22 | 4.87 | −13.35 | 987.42 | 1085.42 | −9.03 | 55.22 | 58.29 | −5.27 | 10 | 6.22 | 6.1 | 1.97 | 951 | 1052.85 | −9.67 | 71.01 | 70.11 | 1.28 |
| C2 | 90 | 3.14 | 3.02 | 3.97 | 695.5 | 792.46 | −12.24 | 6.21 | 5.52 | 12.50 | 70 | 3.67 | 3.9 | −5.90 | 671.86 | 743.78 | −9.67 | 9.14 | 9.91 | −7.77 | 50 | 3.88 | 3.7 | 4.86 | 610.98 | 689.25 | −11.36 | 18 | 18 | 0.00 | 30 | 3.19 | 3.5 | −8.86 | 655.23 | 632.33 | 3.62 | 27.18 | 28.35 | −4.13 | 10 | 4 | 4 | 0.00 | 582.32 | 629.08 | −7.43 | 62.82 | 63.67 | −1.34 |
| RC2 | 90 | 5 | 5 | 0.00 | 1351.21 | 1476.76 | −8.50 | 9.96 | 10.89 | −8.54 | 70 | 3.98 | 4.1 | −2.93 | 1256.32 | 1346.76 | −6.72 | 19.03 | 18.98 | 0.26 | 50 | 4.32 | 4.45 | −2.92 | 1189.13 | 1269.29 | −6.32 | 25.78 | 27.96 | −7.80 | 30 | 5.21 | 5.65 | −7.79 | 1151.35 | 1244.85 | −7.51 | 38.67 | 39.11 | −1.13 | 10 | 6.8 | 7.1 | −4.23 | 1183.11 | 1220.9 | −3.10 | 57.1 | 57.29 | −0.33 |
| Average | 8.637 | 8.81 | −2.01 | 1118.63 | 1183.72 | −5.50 | 32.46 | 33.03 | −1.72 |
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