计算机应用 ›› 2019, Vol. 39 ›› Issue (9): 2765-2771.DOI: 10.11772/j.issn.1001-9081.2019020270

• 应用前沿、交叉与综合 • 上一篇    下一篇

应急物资运输路径多目标优化模型及求解算法

李卓, 李引珍, 李文霞   

  1. 兰州交通大学 交通运输学院, 兰州 730070
  • 收稿日期:2019-02-18 修回日期:2019-04-07 出版日期:2019-09-10 发布日期:2019-05-14
  • 通讯作者: 李引珍
  • 作者简介:李卓(1993-),男,甘肃天水人,硕士研究生,主要研究方向:交通运输规划与管理、网络优化;李引珍(1963-),男,甘肃天水人,教授,博士,主要研究方向:运输系统分析与决策;李文霞(1993-),女,甘肃兰州人,硕士研究生,主要研究方向:交通运输规划与管理、网络优化。

Multi-objective optimization model and solution algorithm for emergency material transportation path

LI Zhuo, LI Yinzhen, LI Wenxia   

  1. School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China
  • Received:2019-02-18 Revised:2019-04-07 Online:2019-09-10 Published:2019-05-14

摘要:

针对应急前期运输商自有车辆不足的实际背景,采用自有车辆和第三方租用车辆共同配送的运输模式,对混合车辆路径的组合优化问题进行研究。首先,考虑需求点和运输商的不同利益诉求,以系统满意度最大、系统配送时间和总成本最小为优化目标,建立带软时间窗的多目标混合车辆路径优化模型。其次,考虑NSGA-Ⅱ算法在求解该类问题时收敛性差和Pareto前沿分布不均匀的缺点,将蚁群算法的启发式策略和信息素正反馈机制用于生成子代种群,非支配排序策略模型用于指导算法的多目标择优过程,并引入变邻域下降搜索以扩大搜索空间,提出求解多目标的非支配排序蚁群算法以突破原有算法瓶颈。算例表明:构建的模型可对决策者在不同的情境下依据不同的优化目标选择合理的路径提供参考,提出的算法在求解不同规模的问题和不同分布类型的问题中均表现出较好的性能。

关键词: 应急物流, 混合车辆路径问题, 多准则优化, 非支配排序策略, 蚁群算法, 变邻域搜索

Abstract:

For the actual background of the shortage of self-owned vehicles of the transporters in the early stage of emergency, the combinatorial optimization problem of hybrid vehicle paths with transportation mode of joint distribution of self-owned vehicles and vehicles rented by third-party was studied. Firstly, with the different interests between demand points and transporters considered, a multi-objective hybrid vehicle routing optimization model with soft time windows was established with the goal of maximizing system satisfaction and minimizing system delivery time and total cost. Secondly, the shortcomings of NSGA-Ⅱ algorithm in solving this kind of problems such as poor convergence and uneven distribution of Pareto frontiers were considered, the heuristic strategy and pheromone positive feedback mechanism of ant colony algorithm were used to generate offspring population, non-dominated sorting strategy model was used to guide the multi-objective optimization process, and the variable neighborhood descent search was introduced to expand the search space. A multi-objective non-dominated sorting ant colony algorithm was proposed to break through the bottleneck of the original algorithm. The example shows that the proposed model can provide reference for decision makers to choose reasonable paths according to different optimization objectives in different situations, and the proposed algorithm shows better performance in solving different scale problems and different distribution type problems.

Key words: emergency logistics, heterogeneous vehicle routing problem, multi-criteria optimization, non-dominated sorting strategy, ant colony algorithm, variable neighborhood search

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