计算机工程与应用 ›› 2025, Vol. 61 ›› Issue (23): 368-376.DOI: 10.3778/j.issn.1002-8331.2410-0277

• 工程与应用 • 上一篇    

非对称网络下考虑容量约束的即时配送路径优化

吴腾宇,薛欢欢,付德强,余海燕   

  1. 1.重庆邮电大学 现代邮政学院,重庆 400065
    2.重庆邮电大学 经济管理学院,重庆 400065
    3.重庆交通大学 经济管理学院,重庆 400074
  • 出版日期:2025-12-01 发布日期:2025-12-01

Instant Delivery Problem with Constrained Capacity Considering Urban Traffic Asymmetric Network

WU Tengyu, XUE Huanhuan, FU Deqiang, YU Haiyan   

  1. 1.School of Mordern Post, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
    2.School of Economics and Management, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
    3.School of Economics and Management, Chongqing Jiaotong University, Chongqing 400074, China
  • Online:2025-12-01 Published:2025-12-01

摘要: 即时配送外延不断拓展,配送规模和范围增加,使得骑手在配送过程中安全事故频发。城市交通网络复杂且订单容量与平台预测存在偏差,高峰时段订单激增迫使骑手采取挂置车把等非标准装载方式,显著增加了交通事故风险。因此,提出了考虑城市交通网络特性下带容量约束的即时配送路径优化问题。证明了该问题的下界,针对特殊网络、一般网络设计了double judgment condition(DJC)、judge path and load weighted(JPL)和wait and serve(W&S)策略,并采用最坏情形分析法证明策略的竞争比。通过算例验证算法的有效性,分析JPL和W&S策略分别在不同订单密度、最大非对称系数、订单容量比重等情形下的表现。研究结果表明:JPL策略的适用性较高,在订单密度较高、大容量订单较多、非对称系数较小的城市交通网络性能最好;W&S策略更适用于订单密度较低、大容量订单较多、非对称系数较大城市交通网络。研究结论提供了不同情形下考虑容量约束的配送策略,通过实时优化路径减少非标准装载需求,保障了骑手安全配送。

关键词: 非对称网络, 容量约束, 在线算法, 即时取送货问题

Abstract: With the increasing scale and range of deliveries, riders have frequent traffic accidents. The complexity of the urban traffic network and the deviation of order capacity from the platform prediction force the riders to adopt non-standard loading methods such as mounted handlebars during peak hours, which significantly increases the risk of traffic accidents. Therefore, it is essential to consider capacity-constrained pickup and delivery strategies. So a real-time delivery route optimization problem with capacity constraints considering the characteristics of urban transportation networks is proposed. Firstly, the lower bound of the problem is demonstrated. Double judgment condition (DJC), judge path and load weighted (JPL) and wait and serve (W&S) strategies for specific and general networks are designed. And worst-case scenario analysis is used to prove the competitive ratios of these strategies. Finally, through case studies and analysis of the performance of the JPL and W&S strategies under different order densities, maximum asymmetry coefficients and order capacity demand ratios, the algorithms’ effectiveness is validated. The results indicate that the JPL strategy is highly applicable and performs best in urban traffic networks with higher order density, more large-capacity orders and smaller asymmetric coefficients. The W&S strategy is more suitable for asymmetric urban transportation networks with lower order density and significant capacity demand. The conclusion of the study provides a delivery strategy considering capacity constraints in different cases, and reduces the non-standard loading demand through real-time optimization of the path, ensuring the safe delivery of riders.

Key words: asymmetric network, capacity constraints, online algorithm, real-time pick-up and delivery problem