Chinese Journal of Management Science ›› 2026, Vol. 34 ›› Issue (11): 210-218.doi: 10.16381/j.cnki.issn1003-207x.2023.1833
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Jian Chen(
), Qiang Xue, Hong Zhou, Wenjing Ma
Received:2023-11-03
Revised:2024-05-01
Online:2026-11-25
Published:2026-11-10
Contact:
Jian Chen
E-mail:jchen@nuaa.edu.cn
CLC Number:
Jian Chen,Qiang Xue,Hong Zhou, et al. Multi-trip Automotive Parts Inbound Logistics Optimization Based on Synchronous Milk-run Pickup[J]. Chinese Journal of Management Science, 2026, 34(11): 210-218.
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| 实例 | IALNS | VNS | GA | |||||
|---|---|---|---|---|---|---|---|---|
| Cost | Time | Cost | Time | Gap | Cost | Time | Gap | |
| 5-50 | 620.0 | 12.5 | 658.0 | 25.2 | 6.1 | 712.7 | 43.1 | 15.0 |
| 5-75 | 938.1 | 31.1 | 967.7 | 69.7 | 3.2 | 1058.0 | 73.2 | 12.8 |
| 5-100 | 1229.6 | 75.7 | 1290.4 | 121.4 | 4.9 | 1335.9 | 122.8 | 8.6 |
| 5-125 | 1406.2 | 140.5 | 1465.4 | 190.3 | 4.2 | 1488.6 | 147.5 | 5.9 |
| 6-50 | 621.9 | 13.1 | 647.8 | 30.9 | 4.2 | 702.6 | 43.2 | 13.0 |
| 6-75 | 968.1 | 25.8 | 935.2 | 69.6 | -3.4 | 1024.2 | 74.3 | 5.8 |
| 6-100 | 1262.1 | 58.1 | 1313.0 | 105.8 | 4.0 | 1311.6 | 117.4 | 3.9 |
| 6-125 | 1394.0 | 104.6 | 1458.3 | 153.2 | 4.6 | 1516.2 | 175.8 | 8.8 |
| 7-50 | 617.0 | 13.9 | 644.9 | 31.1 | 4.5 | 698.7 | 41.0 | 13.2 |
| 7-75 | 929.0 | 32.9 | 973.0 | 67.2 | 4.7 | 1014.4 | 80.4 | 9.2 |
| 7-100 | 1263.1 | 74.7 | 1322.8 | 111.6 | 4.7 | 1338.2 | 117.6 | 5.9 |
| 7-125 | 1414.4 | 199.3 | 1478.9 | 175.5 | 4.6 | 1522.2 | 174.9 | 7.6 |
| 平均 | 1055.3 | 65.2 | 1096.3 | 96.0 | 3.9 | 1143.6 | 100.9 | 9.1 |
"
| 实例 | IALNS | VNS | GA | |||||
|---|---|---|---|---|---|---|---|---|
| Cost | Time | Cost | Time | Gap | Cost | Time | Gap | |
| 10-150 | 1670.3 | 115.7 | 1814.0 | 279.6 | 8.6 | 1954.0 | 320.0 | 17.0 |
| 10-200 | 2256.9 | 253.8 | 2349.9 | 419.4 | 4.1 | 2532.2 | 684.4 | 12.2 |
| 10-250 | 2961.5 | 339.9 | 2941.5 | 625.8 | -0.7 | 3177.4 | 884.1 | 7.3 |
| 10-300 | 3392.8 | 747.4 | 3536.7 | 890.5 | 4.2 | 3641.4 | 1227.2 | 7.3 |
| 12-150 | 1680.5 | 106.3 | 1772.8 | 254.0 | 5.5 | 1833.9 | 447.8 | 9.1 |
| 12-200 | 2280.4 | 317.1 | 2396.4 | 500.3 | 5.1 | 2522.9 | 735.2 | 10.6 |
| 12-250 | 3029.0 | 389.5 | 3045.24 | 629.9 | 0.5 | 3217.7 | 991.9 | 6.2 |
| 12-300 | 3429.6 | 727.1 | 3544.3 | 970.3 | 3.3 | 3674.8 | 1308.8 | 7.1 |
| 15-150 | 1679.2 | 236.4 | 1766.5 | 298.2 | 5.2 | 1855.3 | 552.3 | 10.5 |
| 15-200 | 2240.3 | 313.6 | 2360.8 | 485.9 | 5.4 | 2438.8 | 933.1 | 8.9 |
| 15-250 | 2932.8 | 413.2 | 3105.5 | 652.0 | 5.9 | 3367.0 | 1247.7 | 14.8 |
| 15-300 | 3413.5 | 685.6 | 3572.5 | 1179.8 | 4.7 | 3622.0 | 1577.9 | 6.1 |
| 平均 | 2580.5 | 387.1 | 2683.9 | 598.8 | 4.3 | 2819.8 | 909.2 | 9.8 |
"
| 零部件数量 | 小零部件 | 中零部件 | 大零部件 | |||
|---|---|---|---|---|---|---|
运输 费用 | 所需车辆数 | 运输 费用 | 所需车辆数 | 运输 费用 | 所需车辆数 | |
| 10 | 143.0 | 1 | 190.6 | 1 | 251.1 | 1 |
| 20 | 210.7 | 1 | 339.7 | 2 | 494.6 | 2 |
| 30 | 305.1 | 2 | 472.1 | 2 | 650.8 | 3 |
| 40 | 397.9 | 2 | 536.7 | 2 | 1055.3 | 4 |
| 50 | 458.6 | 2 | 734.2 | 3 | 1228.0 | 4 |
| 75 | 703.4 | 3 | 927.1 | 4 | 1686.7 | 6 |
| 100 | 914.3 | 3 | 1495.1 | 6 | 2327.3 | 8 |
| 125 | 1061.6 | 4 | 1824.4 | 6 | 2750.7 | 9 |
| 150 | 1378.0 | 4 | 2164.6 | 7 | 3520.2 | 10 |
| 200 | 1698.3 | 6 | 2864.8 | 9 | 4433.1 | 13 |
| 250 | 2150.6 | 7 | 3622.6 | 11 | 5532.1 | 15 |
| 300 | 2582.0 | 8 | 4270.0 | 12 | 6456.1 | 17 |
"
| 运输费用 | 行程数 | 运输费用 | 行程数 | 运输费用 | 行程数 | 运输费用 | 行程数 | ||
|---|---|---|---|---|---|---|---|---|---|
| 30 | 0.25 | 623.8 | 1.4 | 1318.2 | 2.4 | 2299.0 | 2.8 | 3528.6 | 3.2 |
| 30 | 0.5 | 622.1 | 1.8 | 1283.5 | 2.6 | 2269.9 | 3.2 | 3485.3 | 3.4 |
| 30 | 0.75 | 621.5 | 1.8 | 1267.5 | 3.0 | 2258.0 | 3.2 | 3468.4 | 3.8 |
| 80 | 1 | 618.7 | 5.5 | 1258.3 | 4.6 | 2255.4 | 6.8 | 3463.3 | 9.0 |
| 80 | 1.25 | 617.2 | 5.5 | 1248.2 | 4.6 | 2240.2 | 8.4 | 3455.2 | 9.0 |
| 80 | 1.5 | 614.4 | 5.5 | 1255.6 | 5.8 | 2237.6 | 6.8 | 3425.6 | 9.0 |
| 130 | 1.75 | 608.4 | 10.0 | 1236.3 | 7.3 | 2237.0 | 10.3 | 3413.8 | 12.4 |
| 130 | 2 | 606.3 | 10.0 | 1232.8 | 7.3 | 2233.4 | 11.5 | 3411.8 | 15.5 |
| 130 | 2.25 | 604.8 | 10.0 | 1231.3 | 11.0 | 2231.4 | 13.7 | 3397.9 | 15.5 |
| 180 | 2.5 | 603.0 | 10.0 | 1229.5 | 11.0 | 2231.1 | 13.7 | 3382.1 | 20.3 |
| 180 | 2.75 | 599.5 | 10.0 | 1227.7 | 11.0 | 2230.1 | 13.7 | 3378.9 | 20.7 |
| 180 | 3 | 596.4 | 10.0 | 1226.9 | 11.0 | 2229.1 | 13.7 | 3370.0 | 20.7 |
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