运筹与管理 ›› 2022, Vol. 31 ›› Issue (4): 28-34.DOI: 10.12005/orms.2022.0109

• 理论分析与方法探讨 • 上一篇    下一篇

考虑订单合并和货物转运的多式联运路径优化研究

李兆进, 刘雅, 杨臻   

  1. 西安交通大学 管理学院,陕西 西安 710049
  • 收稿日期:2020-07-03 出版日期:2022-04-25 发布日期:2022-05-13
  • 通讯作者: 刘雅(1982-),女,回族,西安人,博士生导师,副教授,研究方向:供应链与物流系统运营与优化。
  • 作者简介:李兆进(1991-),男,河南濮阳人,博士研究生,研究方向:供应链与物流系统运营与优化;杨臻(1980-),男,西安人,博士生导师,副教授,研究方向:供应链与物流系统运营与优化。
  • 基金资助:
    国家自然科学基金资助项目(72071156);教育部人文社会科学研究青年基金(18YJC630104)

Research on the Optimization of Multimodal Transportation Route Considering Order Consolidation and Freight Transshipment

LI Zhao-jin, LIU Ya, YAND Zhen   

  1. School of Management, Xi’an Jiaotong University, Xi’an 710049, China
  • Received:2020-07-03 Online:2022-04-25 Published:2022-05-13

摘要: 为了获得运输的规模经济效应,本文研究了一种考虑订单合并和货物转运的零担多式联运路径优化问题。首先,以总运输成本为目标函数,以网络中的运输工具容量、可以提供的运输工具最大数量、运输工具服务的关闭时间以及订单时间窗为约束,构建混合整数规划模型,在模型中允许多个订单进行合并运输并考虑运输过程中的转运成本。其次,由于多式联运路径优化问题是典型的NP-hard问题,为了快速求解该模型,开发了一种可以快速为该问题提供近似最优解和下界的列生成启发式算法。最后,生成并测试了大量算例,结果表明所开发的列生成启发式算法可以在较短的时间内提供高质量的近似最优解。文章所构建的模型和开发的列生成启发式算法可以为零担自营多式联运物流企业提供高效的决策支持。

关键词: 多式联运, 路径优化, 混合整数规划, 列生成

Abstract: In order to obtain the economies of scale effect of transportation, this paper studies a route optimization problem of LTL multimodal transport considering order consolidation and freight transshipment. Firstly, the total transportation cost is taken as the objective function, a mixed integer programming model is constructed with the constraints of the capacity of transportation vehicles, the maximum number of vehicles that can be provided, the closing time of vehicle services and the time window of orders. In the model, the consolidation of multiple orders are allowed and the transshipment cost is considered. Secondly, as the multimodal transportation route optimization problem is a typical NP hard problem, in order to quickly solve the problem, a column generation heuristic is developed which can quickly provide approximate optimal solution and lower bound for the problem. Finally, a large number of instances are generated and tested. The results show that the developed column generation heuristic can provide high-quality approximate optimal solution in a short time. The model and the developed column generation heuristic can provide efficient decision support for LCL self-operated multimodal transport logistics companies.

Key words: multimodal transportation, route optimization, mixed integer programming, column generation

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