工业工程 ›› 2023, Vol. 26 ›› Issue (1): 108-114.doi: 10.3969/j.issn.1007-7375.2023.01.012

• 系统建模与优化算法 • 上一篇    下一篇

车载可补货无人配送小车配送路径研究

廖毅, 叶艳, 冷杰武   

  1. 广东工业大学 机电工程学院,广东 广州 510006
  • 收稿日期:2021-06-02 发布日期:2023-03-09
  • 通讯作者: 叶艳 (1976—),女,安徽省人,副研究员,主要研究方向为供应链管理、物流调度优化。Email: 624806701@qq.com E-mail:624806701@qq.com
  • 作者简介:廖毅 (1997—) ,男,广东省人,硕士研究生,主要研究方向为物流调度优化
  • 基金资助:
    国家重点研发计划资助项目 (2018AAA0101704)

Study of Large-Vehicle-Based Unmanned Delivery Vehicle Routing Problem with Replenishment

LIAO Yi, YE Yan, LENG Jiewu   

  1. School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2021-06-02 Published:2023-03-09

摘要: 无人配送小车由于不适合长距离运输,可与货车搭配完成“最后一公里”配送任务以增加服务范围,这对车辆路径优化问题提出了新的挑战。针对配送小车数量有限、城市配送货物量大且货车停靠限制的特点,提出无人配送小车可补货的大车−小车路径优化问题,即一辆货车搭载多台无人配送小车,由无人配送小车给客户送货,无人配送小车可在货车处补充货物并执行多行程配送。构建以总配送距离最短为目标的整数规划模型,针对此模型设计混合遗传大邻域搜索算法,在遗传算法基础上增加大邻域搜索算法对个体优化。在算法优化过程中先优化小车路径,再在小车路径基础上优化大车路径。数值实验表明,对于小规模问题,所提算法最多花费CPLEX求解时间的6%便获得最优解;在改造的Solomon数据上,所提算法相对于遗传算法平均有95.5%的计算结果优势,相对于大邻域搜索算法平均有7.2%的计算结果优势,且数据量越大,优势越大。

关键词: 无人配送小车, 多行程配送, 车辆路径优化, 混合遗传大邻域搜索

Abstract: SUDVs are not suitable for long-distance delivery. To increase the scope of delivery services, the trucks can be matched with SUDVs to complete the “last mile delivery task”, which poses new challenges to the vehicle routing optimization problem. Considering the characteristics of the limited number of delivery vehicles, the urban transport with considerable package and the restrictions on truck parking, a large vehicle (LV)-SUDV routing optimization problem is proposed, by which SUDVs can be replenished by LVs. A mixed integer programming model is established with the objective of minimum total distance. In this mode, one LV carries multiple SUDVs for distribution, SUDVs deliver directly to the customer, and SUDVs can replenish goods at the LVs and perform multiple deliveries. Besides, a hybrid genetic large neighborhood search algorithm is designed for this model, and a large neighborhood search algorithm is added to optimize the individual based on the genetic algorithm. In the algorithm optimization process, first the path of the SUDV is optimized, and then the path of the LV optimized based on the path of the SUDVs. Numerical experiments show that for small-scale problems, the proposed algorithm takes up to 6% of the CPLEX solution time to obtain the optimal solution. On the modified Solomon data, the proposed algorithm has an average 95.5% advantage in calculation results compared with genetic algorithms, and an average 7.2% advantage in calculation results compared with large neighborhood search algorithms. Besides, the greater the amount of data, the greater the advantage of the calculation results.

Key words: small unmanned delivery vehicle (SUDV), multi-trip delivery, vehicle routing optimization, hybrid genetic algorithm large neighborhood search algorithm

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