Chinese Journal of Management Science ›› 2025, Vol. 33 ›› Issue (11): 103-113.doi: 10.16381/j.cnki.issn1003-207x.2023.1059
Fang Guo, Runliu Niu, Zhihong Huang(
)
Received:2023-06-21
Revised:2023-08-11
Online:2025-11-25
Published:2025-11-28
Contact:
Zhihong Huang
E-mail:huang_zhihong@zzu.edu.cn
CLC Number:
Fang Guo,Runliu Niu,Zhihong Huang. Robust Optimization of Procurement and Routing Strategy of Multi-period Multimodal Transport in Uncertain Environment[J]. Chinese Journal of Management Science, 2025, 33(11): 103-113.
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| 集合: | 参数: | ||
|---|---|---|---|
| 多式联运节点集合 | |||
| 拓展网络上的节点集合 | 采用运输方式 | ||
| 源网络中所有弧的集合 | 运输方式 | ||
| 拓展网络上弧的集合 | 运输方式 | ||
| 运输方式的集合 | |||
| 运输总时间段的集合 | |||
| 多 | |||
| 网络中所有顶点集合 | 不同货物所占的体积率 | ||
| 终点处仓库的最大容量 | 拓展网络上的虚拟源节点 | ||
| 拓展网络上的虚拟汇节点 | |||
| 变量: | |||
| 在 | |||
| 在 | |||
| 若 | |||
| 若 | |||
"
| OD对 | 距离 | 路径点 | OD对 | 距离 | 路径点 |
|---|---|---|---|---|---|
| (10,1) | 934 | 10- -9— —5- -4- -3~ ~1 | (17,3) | 1644 | 17- -16- -8- -6- -5- -4— —3 |
| (12,7) | 2202 | 12— —3- -4- -5- -6- -8- -7 | (18,1) | 1881 | 18- -7- -8- -6- -2~ ~1 |
| (13,7) | 1829 | 13- -24- -21- -20- -18- -7 | (19,1) | 1428 | 19- -17- -16- -8- -6- -2~ ~1 |
| (13,8) | 2062 | 13- -12— —3- -4- -5- -6- -8 | (20,1) | 2486 | 20- -18- -7- -8- -6- -2- -1 |
| (14,1) | 1056 | 14- -11- -4- -3~ ~1 | (21,5) | 1139 | 21- -22- -15- -10- -9- -5 |
| (14,2) | 1223 | 14- -11- -4- -5- -6- -2 | (22,2) | 2250 | 22- -20- -18- -7- -8- -6- -2 |
| (15,1) | 1310 | 15- -14- -11- -4-3-1 | (22,4) | 951 | 22- -15- -14- -11- -4 |
| (15,2) | 1546 | 15- -19- -17-16- -8- -6- -2 | (23,6) | 1356 | 23- -14- -11- -4- -5- -6 |
| (15,3) | 1015 | 15- -14- -11- -4~ ~3 | (23,8) | 2000 | 23- -22- -20- -18- -7- -8 |
| (16,1) | 1159 | 16- -8- -6- -2— —1 | (24,6) | 2373 | 24- -21- -20- -18- -7- -8- -6 |
| (16,13) | 1134 | 16- -10- -11- -12- -13 | (24,8) | 2062 | 24- -21- -20- -18- -7- -8 |
| (17,1) | 1432 | 17- -16- -8- -6- -2- -1 |
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| 输入 | 情形1 | 情形2 | 情形3 | 情形1与情形2 | 情形1与情形3 | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 编号 | 算例 | 实验组 | 对照组 | Gap(%) | 实验组 | 对照组 | Gap(%) | 实验组 | 对照组 | Gap(%) | 相对差值(%) | 相对差值(%) |
| 1 | S-n8 | 82.25 | 83.22 | -1.16 | 80.76 | 80.81 | -0.06 | 84.87 | 85.39 | -0.61 | -1.18 | 3.19 |
| 2 | S-n10 | 118.04 | 118.04 | 0 | 116.73 | 116.92 | -0.2 | 119.76 | 122.75 | -2.5 | -1.11 | 1.46 |
| 3 | S-n12 | 173.00 | 175.09 | -1.19 | 171.30 | 171.30 | 0 | 175.64 | 179.82 | -2.3 | -0.98 | 1.53 |
| 4 | S-n14 | 247.26 | 250.03 | -1.11 | 245.58 | 247.79 | -0.9 | 250.34 | 255.51 | -2.0 | -0.68 | 1.25 |
| 5 | S-n16 | 312.09 | 312.09 | 0 | 308.63 | * | * | 316.04 | 322.76 | -2.1 | -1.11 | 1.27 |
| 6 | S-n18 | 399.81 | * | * | 389.83 | * | * | 401.63 | * | * | -2.49 | 0.46 |
| 7 | S-n20 | 512.52 | * | * | 499.31 | * | * | 513.85 | * | * | -2.58 | 0.26 |
| 平均值 | 263.57 | 174.73 | -0.69 | 258.88 | 154.21 | -0.29 | 266.02 | 193.25 | -1.90 | -1.45 | 1.35 | |
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