Journal of System Simulation ›› 2023, Vol. 35 ›› Issue (11): 2464-2475.doi: 10.16182/j.issn1004731x.joss.22-0727
• Papers • Previous Articles Next Articles
Zhang Yingyu1(), Wu Liyun1(
), Jia Shengtai2
Received:
2022-06-24
Revised:
2022-08-22
Online:
2023-11-25
Published:
2023-11-23
Contact:
Wu Liyun
E-mail:934985982@qq.com;jitwly@hpu.edu.cn
CLC Number:
Zhang Yingyu, Wu Liyun, Jia Shengtai. Multi-depot Half-open Vehicle Routing Problem with Simultaneous Delivery-pickup and Time Windows[J]. Journal of System Simulation, 2023, 35(11): 2464-2475.
Table 2
Result comparison of experiment 1
算例 | 客户 规模 | BKS | ILS | CoES | AMAVNS | CMBSO | ||||
---|---|---|---|---|---|---|---|---|---|---|
Best | Dev/% | Best | Dev/% | Best | Dev/% | Best | Dev/% | |||
Ave | 719.95 | 755.49 | 4.91 | 722.86 | 0.36 | 734.11 | 1.61 | 742.67 | 0.21 | |
P01 | 50 | 576.87 | 606.11 | 5.07 | 576.87 | 0.00 | 576.87 | 0.00 | 576.87 | 0.00 |
P02 | 50 | 473.53 | 496.45 | 4.84 | 475.06 | 0.32 | 473.53 | 0.00 | 474.53 | 0.21 |
P03 | 75 | 641.19 | 675.32 | 5.32 | 643.57 | 0.37 | 646.33 | 0.80 | 642.27 | 0.17 |
P04 | 100 | 1 001.59 | 1 062.60 | 6.09 | 1 011.42 | 0.98 | 1 039.69 | 3.80 | 1 001.59 | 0.00 |
P05 | 100 | 750.03 | 782.34 | 4.31 | 752.39 | 0.31 | 765.98 | 2.13 | 877.86 | 0.16 |
P06 | 100 | 876.50 | 910.13 | 3.84 | 877.86 | 0.16 | 902.27 | 2.94 | 882.88 | 0.72 |
Table 3
Result comparison of experiment 2
算例 | 客户规模 | BKS | Best | ||
---|---|---|---|---|---|
DCS | MA | CMBSO | |||
Rcdp1001 | 10 | 349.98 | 349.98 | 349.98 | 349.98 |
Rcdp1004 | 10 | 216.69 | 216.69 | 216.69 | 216.69 |
Rcdp1007 | 10 | 310.81 | 310.81 | 310.81 | 310.81 |
Rcdp2501 | 25 | 551.05 | 551.05 | 551.05 | 551.05 |
Rcdp2504 | 25 | 473.46 | 473.46 | 473.46 | 473.46 |
Rcdp2507 | 25 | 540.87 | 540.87 | 540.87 | 540.87 |
Rcdp5001 | 50 | 994.18 | 994.18 | 994.18 | 994.18 |
Rcdp5004 | 50 | 725.59 | 725.59 | 725.59 | 725.59 |
Rcdp5007 | 50 | 809.72 | 809.72 | 809.72 | 809.72 |
Table 5
Result comparison of experiment 3
算例 | BKS | DCS | BSA | VNS-BSTS | CMBSO | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Best | Dev/% | Best | Dev/% | Best | Dev/% | Best | Dev/% | ||||||
Ave | 1 227.81 | 1 284.17 | 4.54 | 1 280.72 | 4.26 | 1 269.78 | 3.20 | 1 259.99 | 2.59 | ||||
Rdp101 | 1 650.20 | 1 658.65 | 0.51 | 1 659.77 | 0.58 | 1 650.80 | 0.04 | 1 650.80 | 0.04 | ||||
Cdp101 | 963.96 | 998.29 | 3.56 | 992.88 | 3.00 | 976.04 | 1.25 | 976.04 | 1.25 | ||||
Rcdp101 | 1 652.90 | 1 654.32 | 0.08 | 1 655.77 | 0.17 | 1 708.21 | 3.35 | 1 666.12 | 0.80 | ||||
Rdp201 | 1 181.73 | 1 281.63 | 8.45 | 1 286.55 | 8.87 | 1 254.57 | 6.16 | 1 268.52 | 7.34 | ||||
Cdp201 | 591.56 | 591.56 | 0.005 | 591.56 | 0.00 | 591.56 | 0.00 | 591.56 | 0.00 | ||||
Rcdp201 | 1 326.19 | 1 520.56 | 14.66 | 1 497.80 | 12.94 | 1 437.48 | 8.39 | 1 406.94 | 6.09 |
Table 7
Optimal solution paths of experiment 4
模式 | 算例 | 车辆行驶路线 | 总距离 |
---|---|---|---|
MDHOVRPSDPTW | pr01 | 49-42-46-39-2-15-25-26-23-36-32-49 | 1 201.26 |
51-33-13-8-29-20-4-19-22-50 | |||
50-9-47-24-12-30-40-38-21-43-52 | |||
52-44-31-41-7-37-28-14-1-5-17-18-16-51 | |||
49-35-34-10-45-6-27-3-48-11-50 | |||
pr02 | 100-95-65-42-85-66-80-48-6-10-24-18-14-22-1-47-98 | 1 977.52 | |
97-43-63-77-90-31-45-70-59-84-97 | |||
100-11-79-21-15-75-40-34-49-4-61-52-100 | |||
97-86-19-55-93-38-68-27-13-97 | |||
97-81-62-73-37-69-9-17-64-16-74-97 | |||
99-96-67-2-51-50-76-3-12-53-36-56-71-83-82-35-100 | |||
97-41-89-54-29-57-46-30-23-91-26-28-58-99 | |||
97-8-92-20-39-7-5-44-97 | |||
98-25-60-72-33-88-78-94-32-87-97 | |||
MDVRPSDPTW | pr01 | 49-42-46-12-24-15-25-23-30-40-38-21-43-49 | 1 310.31 |
51-33-13-8-29-20-4-19-22-51 | |||
49-44-31-41-7-37-49 | |||
49-9-47-39-2-26-36-28-14-1-5-17-18-16-32-49 | |||
49-35-34-10-45-6-27-3-48-11-49 | |||
pr02 | 97-19-55-20-64-17-9-72-87-1-47-32-97 | 2 118.88 | |
97-62-73-37-69-65-33-88-78-22-46-91-28-52-58-97 | |||
97-25-96-67-51-76-3-12-50-6-24-15-18-10-94-97 | |||
100-63-8-13-100 | |||
97-43-41-70-59-84-97 | |||
97-86-92-93-38-68-39-27-74-97 | |||
97-81-60-42-85-66-2-80-48-7-5-16-44-97 | |||
100-95-29-57-21-79-11-54-89-45-31-90-77-4-49-82-35-61-100 | |||
100-15-75-40-34-26-23-30-53-36-56-71-83-100 |
1 | Angelelli E, Mansini R. The Vehicle Routing Problem with Time Windows and Simultaneous Pick-up and Delivery[C]//Quantitative Approaches to Distribution Logistics and Supply Chain Management. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002: 249-267. |
2 | Wang H F, Chen Y Y. A Genetic Algorithm for the Simultaneous Delivery and Pickup Problems with Time Window[J]. Computers & Industrial Engineering, 2012, 62(1): 84-95. |
3 | 王超, 刘超, 穆东, 等. 基于离散布谷鸟算法求解带时间窗和同时取送货的车辆路径问题[J]. 计算机集成制造系统, 2018, 24(3): 570-582. |
Wang Chao, Liu Chao, Mu Dong, et al. VRPSPDTW Problem Solving by Discrete Cuckoo Search[J]. Computer Integrated Manufacturing Systems, 2018, 24(3): 570-582. | |
4 | 王超, 高扬, 刘超, 等. 基于回溯搜索优化算法求解带时间窗和同时送取货的车辆路径问题[J]. 计算机集成制造系统, 2019, 25(9): 2237-2247. |
Wang Chao, Gao Yang, Liu Chao, et al. Vehicle Routing Problem with Simultaneous Delivery and Pickup Problem Solving by Backtracking Search Optimization Algorithm[J]. Computer Integrated Manufacturing Systems, 2019, 25(9): 2237-2247. | |
5 | 李珺, 段钰蓉, 郝丽艳, 等. 混合优化算法求解同时送取货车辆路径问题[J]. 计算机科学与探索, 2022, 16(7): 1623-1632. |
Li Jun, Duan Yurong, Hao Liyan, et al. Hybrid Optimization Algorithm for Vehicle Routing Problem with Simultaneous Delivery-pickup[J]. Journal of Frontiers of Computer Science & Technology, 2022, 16(7): 1623-1632. | |
6 | Li Jian, Li Yang, Pardalos P M. Multi-depot Vehicle Routing Problem with Time Windows Under Shared Depot Resources[J]. Journal of Combinatorial Optimization, 2016, 31(2): 515-532. |
7 | Bae H, Moon I. Multi-depot Vehicle Routing Problem with Time Windows Considering Delivery and Installation Vehicles[J]. Applied Mathematical Modelling, 2016, 40(13/14): 6536-6549. |
8 | 王勇, 任音吉, 刘永, 等. 基于多中心车辆路径问题的收益分配优化研究[J]. 交通运输系统工程与信息, 2018, 18(3): 210-217. |
Wang Yong, Ren Yinji, Liu Yong, et al. Profit Allocation Optimization Based on Multi-center Vehicle Routing Problem[J]. Journal of Transportation Systems Engineering and Information Technology, 2018, 18(3): 210-217. | |
9 | 范厚明, 杨翔, 李荡, 等. 基于生鲜品多中心联合配送的半开放式车辆路径问题[J]. 计算机集成制造系统, 2019, 25(1): 256-266. |
Fan Houming, Yang Xiang, Li Dang, et al. Half-open Multi-depot Vehicle Routing Problem Based on Joint Distribution Mode of Fresh Food[J]. Computer Integrated Manufacturing Systems, 2019, 25(1): 256-266. | |
10 | 马冰山, 胡大伟, 陈希琼, 等. 半开放式的多配送中心纯电动车辆路径优化问题[J]. 交通运输系统工程与信息, 2019, 19(6): 199-205. |
Ma Bingshan, Hu Dawei, Chen Xiqiong, et al. An Optimization of Pure Electric Vehicle Routing Problem on Half-open Multi-distribution Center[J]. Journal of Transportation Systems Engineering and Information Technology, 2019, 19(6): 199-205. | |
11 | 辜勇, 袁源乙, 张列, 等. 带时间窗的多中心半开放式车辆路径问题[J]. 中国机械工程, 2020, 31(14): 1733-1740. |
Gu Yong, Yuan Yuanyi, Zhang Lie, et al. Multi-depot Half Open Vehicle Routing Problem with Time Windows[J]. China Mechanical Engineering, 2020, 31(14): 1733-1740. | |
12 | 张凯庆, 嵇启春. 速度时变的多中心半开放式车辆路径问题研究[J]. 系统仿真学报, 2022, 34(4): 836-846. |
Zhang Kaiqing, Ji Qichun. Research on Multi-depot Half-open Vehicle Routing Problem with Time-varying Speed[J]. Journal of System Simulation, 2022, 34(4): 836-846. | |
13 | Yang Zhensu, Shi Yuhui. Brain Storm Optimization with Chaotic Operation[C]//2015 Seventh International Conference on Advanced Computational Intelligence (ICACI). Piscataway, NJ, USA: IEEE, 2015: 111-115. |
14 | Yu Yang, Gao Shangce, Cheng Shi, et al. CBSO: a Memetic Brain Storm Optimization with Chaotic Local Search[J]. Memetic Computing, 2018, 10(4): 353-367. |
15 | 衣俊艳, 施晓东, 杨刚. 多分支混沌变异的头脑风暴优化算法[J]. 计算机工程与应用, 2022, 58(16): 129-138. |
Yi Junyan, Shi Xiaodong, Yang Gang. Brain Storm Optimization Based on Multi-branch Chaotic Mutation[J]. Computer Engineering and Applications, 2022, 58(16): 129-138. | |
16 | Tlili T, Krichen S, Drira G, et al. On Solving the Multi-depot Vehicle Routing Problem[C]//Proceedings of 3rd International Conference on Advanced Computing, Networking and Informatics. New Delhi: Springer India, 2016: 103-108. |
17 | Fernando Bernardes de Oliveira, Enayatifar R, Sadaei H J, et al. A Cooperative Coevolutionary Algorithm for the Multi-depot Vehicle Routing Problem[J]. Expert Systems with Applications, 2016, 43: 117-130. |
18 | 范厚明, 刘鹏程, 刘浩, 等. 多中心联合配送模式下集货需求随机的VRPSDP问题[J]. 自动化学报, 2021, 47(7): 1646-1660. |
Fan Houming, Liu Pengcheng, Liu Hao, et al. The Multi-depot Vehicle Routing Problem with Simultaneous Deterministic Delivery and Stochastic Pickup Based on Joint Distribution[J]. Acta Automatica Sinica, 2021, 47(7): 1646-1660. | |
19 | 张庆华, 吴光谱. 带时间窗的同时取送货车辆路径问题建模及模因求解算法[J]. 计算机应用, 2020, 40(4): 1097-1103. |
Zhang Qinghua, Wu Guangpu. Modeling and Memetic Algorithm for Vehicle Routing Problem with Simultaneous Pickup-delivery and Time Windows[J]. Journal of Computer Applications, 2020, 40(4): 1097-1103. | |
20 | Shi Yong, Zhou Yanjie, Boudouh T, et al. A Lexicographic-based Two-stage Algorithm for Vehicle Routing Problem with Simultaneous Pickup-delivery and Time Window[J]. Engineering Applications of Artificial Intelligence, 2020, 95: 103901. |
21 | Salhi S, Nagy G. A Cluster Insertion Heuristic for Single and Multiple Depot Vehicle Routing Problems with Backhauling[J]. Journal of the Operational Research Society, 1999, 50(10): 1034-1042. |
[1] | 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. |
[2] | Yuwen Wu, Zhiyue Niu, Zhenping Li. Picking Path Planning of Container Robots Based on Improved Genetic Algorithm [J]. Journal of System Simulation, 2023, 35(5): 1086-1097. |
[3] | Chen Xue, Hu Rong, Wang Hui, Li Zuocheng, Qian Bin, Li Yixu. Learning-based Ant Colony Optimization Algorithm for Solving a Kind of Complex 2-Echelon Vehicle Routing Problem [J]. Journal of System Simulation, 2023, 35(11): 2476-2495. |
[4] | Nan Li, Rong Hu, Bin Qian, Huaiping Jin, Naikang Yu. Research on Time-dependent Vehicle Routing Problem with Multiple Time Windows [J]. Journal of System Simulation, 2022, 34(8): 1775-1788. |
[5] | Rong Hu, Wen Jiang, Bin Qian, Naikang Yu. Two Stage Optimization Algorithm to Solve the Green Packing Vehicle Routing Problem [J]. Journal of System Simulation, 2022, 34(7): 1490-1505. |
[6] | Kaiqing Zhang, Qichun Ji. Research on Multi-depot Half-open Vehicle Routing Problem with Time-varying Speed [J]. Journal of System Simulation, 2022, 34(4): 836-846. |
[7] | Weiquan Wang, Ding Ding, Shuyan Cao. Hybrid Variable Neighborhood Search algorithm for the Multi-trip and Heterogeneous-fleet Electric Vehicle Routing Problem [J]. Journal of System Simulation, 2022, 34(4): 910-919. |
[8] | Tao Ning, Tao Gou, Xiangdong Liu. Simulation on Cold Chain Distribution Path of Fresh Agricultural Products Under Low-carbon Constraints [J]. Journal of System Simulation, 2022, 34(4): 797-805. |
[9] | Weiquan Wang, Ding Ding, Linsha Yan. Path-Based Model for the Heterogeneous-Fleet Electric Vehicle Routing Problem with Partial Linear Recharging [J]. Journal of System Simulation, 2022, 34(3): 614-623. |
[10] | Zhenping Li, Guang Yang, Qianqian Han. Vehicle Routing Problem with Refined Oil Secondary Distribution Considering Workload Balance [J]. Journal of System Simulation, 2022, 34(2): 221-233. |
[11] | Hu Rong, Chen Wenbo, Qian Bin, Guo Ning, Xiang Fenghong. Learning Ant Colony Algorithm for Green Multi-depot Vehicle Routing Problem [J]. Journal of System Simulation, 2021, 33(9): 2095-2108. |
[12] | Zhang Qian, Xiong Ying, He Mingke, Zhang Hao. Multi-objective Model of Distribution Route Problem for Fresh Electricity Commerce under Uncertain Demand [J]. Journal of System Simulation, 2019, 31(8): 1582-1590. |
[13] | Xing Zhiwei, Tang Yunxiao. Flight Support Service Time Estimation of Hub Airport [J]. Journal of System Simulation, 2017, 29(11): 2856-2865. |
[14] | Ma Xiangguo, Liu Tongjuan, Yang Pingzhe, Jiang Rongfen. Vehicle Routing Optimization Model of Cold Chain Logistics Based on Stochastic Demand [J]. Journal of System Simulation, 2016, 28(8): 1824-1833. |
[15] | Li Yuan, Zhang Hui, Wu Sijin. Planning Model and Model Solve Method of Multi-base Multi -UAV Cooperative Reconnaiance [J]. Journal of System Simulation, 2016, 28(10): 2540-2545. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||