Journal of System Simulation ›› 2023, Vol. 35 ›› Issue (8): 1669-1680.doi: 10.16182/j.issn1004731x.joss.22-0485
•
Li Zhang1(
), Mingling He1, Qiushuang Yin1, Ning Li1, Le'an Yu2
Received:2022-05-12
Revised:2022-07-28
Online:2023-08-25
Published:2023-08-15
Li Zhang, Mingling He, Qiushuang Yin, Ning Li, Le'an Yu. Research on Period Emergency Supply Distribution Optimization Under Uncertainty[J]. Journal of System Simulation, 2023, 35(8): 1669-1680.
Table 1
Coordinates and requirements of distribution center and disaster relief support points
| 结点 编号 | x轴 | y轴 | 物资 需求 | 结点 编号 | x轴 | y轴 | 物资 需求 |
|---|---|---|---|---|---|---|---|
| 0 | 30 | 40 | 0 | 11 | 42 | 41 | 19 |
| 1 | 37 | 52 | 7 | 12 | 31 | 32 | 29 |
| 2 | 49 | 49 | 30 | 13 | 5 | 25 | 23 |
| 3 | 52 | 64 | 16 | 14 | 12 | 42 | 21 |
| 4 | 20 | 26 | 9 | 15 | 36 | 16 | 10 |
| 5 | 40 | 30 | 21 | 16 | 52 | 41 | 15 |
| 6 | 21 | 47 | 15 | 17 | 27 | 23 | 3 |
| 7 | 17 | 63 | 19 | 18 | 17 | 33 | 41 |
| 8 | 31 | 62 | 23 | 19 | 13 | 13 | 9 |
| 9 | 52 | 33 | 11 | 20 | 57 | 58 | 28 |
| 10 | 51 | 21 | 5 | 21 | 62 | 42 | 8 |
Table 2
Distribution path and distribution volume scheme of example
| 周期T | 车辆K | 路径 | 配送量 | 目标函数值f obj | 取最值时的迭代数 |
|---|---|---|---|---|---|
| T 1 | 1 | 0-1-8-7-14-0 | 0-2-8-6-4-0 | 375.242 | 23 |
| 2 | 0-3-20-2-0 | 0-5-9-6-0 | |||
| 3 | 0-11-16-21-9-10-0 | 0-6-5-3-4-2-0 | |||
| 4 | 0-12-5-17-4-0 | 0-10-7-1-2-0 | |||
| 5 | 0-18-13-0 | 0-14-6-0 | |||
| T 2 | 1 | 0-6-7-8-0 | 0-8-7-5-0 | 369.752 | 20 |
| 2 | 0-2-20-0 | 0-12-8-0 | |||
| 3 | 0-11-16-9-5-0 | 0-7-5-4-4-0 | |||
| 4 | 0-12-15-17-19-0 | 0-10-5-1-4-0 | |||
| 5 | 0-18-14-0 | 0-14-6-0 | |||
| T 3 | 1 | 0-6-8-1-0 | 0-7-10-3-0 | 386.161 | 18 |
| 2 | 0-11-16-2-0 | 0-6-5-9-0 | |||
| 3 | 0-12-15-5-0 | 0-9-5-6-0 | |||
| 4 | 0-4-19-13-0 | 0-7-5-8-0 | |||
| 5 | 0-18-14-0 | 0-13-7-0 |
Table 3
Comparative analysis of three algorithms
| 实例 | 周期 | 总路径长度 | 目标函数值 | 收敛迭代次数 |
|---|---|---|---|---|
| 遗传算法 | T 1 | 184.697 6 | 387.999 | >50 |
| T 2 | 173.406 4 | 383.697 | >50 | |
| T 3 | 179.038 5 | 412.501 | >50 | |
| 基本蚁群算法 | T 1 | 158.379 2 | 379.341 | 44 |
| T 2 | 146.263 8 | 367.231 | 42 | |
| T 3 | 139.278 1 | 388.161 | 41 | |
| 改进蚁群算法 | T 1 | 161.288 9 | 375.242 | 23 |
| T 2 | 147.829 1 | 369.752 | 20 | |
| T 3 | 131.054 1 | 386.161 | 18 | |
| 差值(基本蚁群算法-改进蚁群算法) | T 1 | -2.909 7 | 4.099 | 21 |
| T 2 | -1.565 3 | -2.521 | 22 | |
| T 3 | 8.224 0 | 2.000 | 23 | |
| 差值(遗传算法-改进蚁群算法) | T 1 | 23.408 7 | 12.757 | 27 |
| T 2 | 25.577 3 | 13.945 | 30 | |
| T 3 | 47.984 4 | 26.340 | 32 |
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