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中国管理科学 ›› 2022, Vol. 30 ›› Issue (8): 254-266.doi: 10.16381/j.cnki.issn1003-207x.2019.1495

• 论文 • 上一篇    下一篇

动态需求下车辆路径问题的周期性优化模型及求解

李阳1,2, 范厚明1, 张晓楠3   

  1. 1.大连海事大学交通运输工程学院,辽宁 大连116026; 2.辽宁石油化工大学土木工程学院,辽宁 抚顺113001;3.陕西科技大学机电工程学院,陕西 西安710021
  • 收稿日期:2019-09-29 修回日期:2020-02-03 出版日期:2022-08-18 发布日期:2022-08-18
  • 通讯作者: 范厚明(1962-),男(汉族),山东蓬莱人,大连海事大学交通运输工程学院,教授,博士,研究方向:交通运输系统规划与设计、战略管理与系统规划,Email:fhm468@163.com. E-mail:fhm468@163.com
  • 基金资助:
    国家自然科学基金资助项目(61473053, 71802120);教育部人文社会科学研究青年基金资助项目(20YJC630070);辽宁省重点研发计划指导计划项目(2018401002);辽宁省教育厅科学研究经费资助项目(L2019050);辽宁省经济社会发展研究课题(2022lslwzzkt008)

A Periodic Optimization Model and Solution for Capacitated Vehicle Routing Problem with Dynamic Requests

LI Yang1,2, FAN Hou-ming1, ZHANG Xiao-nan3   

  1. 1. College of Transportation Engineering, Dalian Maritime University, Dalian 116026, China;2. School of Civil Engineering, Liaoning Petrochemical University, Fushun 113001, China;3. College of Mechanical and Electrical Engineering, Shanxi University of Science and Technology, Xian 710021, China
  • Received:2019-09-29 Revised:2020-02-03 Online:2022-08-18 Published:2022-08-18
  • Contact: 范厚明 E-mail:fhm468@163.com

摘要: 针对客户点不断更新的动态需求车辆路径问题,依据滚动时域对配送中心工作时间进行划分,提出基于延迟服务的周期性客户点实时重置策略,策略中延迟服务机制能结合车辆启动延迟系数对照当前时域的时间进行检验,满足所有客户点的服务需求,保证车辆满足中心时间窗约束。设计多阶段求解的混合变邻域人工蜂群算法对各时间片内子问题进行连续迭代优化,算法中子路径动态转变的设计能较好平衡原有客户点和新客户点对路径更新和车辆实时信息匹配的要求。算例验证及对比分析表明本文策略和算法在求解动态问题时的有效性和可行性。

关键词: 车辆路径问题;动态需求;周期性优化策略;人工蜂群算法;变邻域搜索算法

Abstract: Capacitated vehicle routing problem with dynamic requests (CVRPDR) is one important variant of vehicle routing problem (VRP), in which not all customers are known in advance, but are revealed as the system progresses. In CVRPDR, routes must be reconfigured dynamically while executing the current simulation. Considering the dynamic characteristic of customers information, a real-time rescheduling strategy which based on the idea of periodic optimization is presented to solve dynamic optimization problems. And according to receding horizon control the whole working time of distribution center is divided into time slices, then CVRPDR can realize periodic optimization for sub-problem of each time slice. In addition, the service delay mechanism based on vehicle starting delay coefficient is applied to constrain behaviors of vehicle distribution. By means of service delay mechanism, additional original customers and new dynamic customers can be utilized to implement rescheduling of sub paths when vehicle capacity and time constraints are satisfied. In this paper, CVRPDR is solved while using a metaheuristic algorithm based on variable neighborhood search and artificial bee colony algorithm that tries to increase both diversity and the capability to escape from local optima. And information such as optimal routing scheme and customer node status will be transmitted along time slices. The effect of vehicle starting delay coefficient perturbation upon the system is discussed by means of sensitivity analysis. The effectiveness of our approach is demonstrated by comparing its results with those of existing methods in the literature on a popular set of benchmark instances. The proposed algorithm can efficiently optimize the dynamic problems and provide highly competitive solution on both the best and average results.

Key words: vehicle routing problem; dynamic requests; periodic optimization strategy; artificial bee colony algorithm; variable neighborhood search algorithm

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