计算机工程与应用 ›› 2023, Vol. 59 ›› Issue (19): 247-254.DOI: 10.3778/j.issn.1002-8331.2206-0137

• 工程与应用 • 上一篇    下一篇

应急物资的无人机与车辆并行在线配送问题

余海燕,苟梦圆,吴腾宇   

  1. 1.重庆交通大学 经济与管理学院,重庆 400074
    2.重庆口岸物流与航运发展研究中心,重庆 400074
    3.智能物流网络重庆市重点实验室,重庆 400074
    4.重庆邮电大学 经济管理学院,重庆 400065
  • 出版日期:2023-10-01 发布日期:2023-10-01

Online Truck-Drone Parallel Delivery Problem of Emergency Supplies

YU Haiyan, GOU Mengyuan, WU Tengyu   

  1. 1.School of Economics and Management, Chongqing Jiaotong University, Chongqing 400074, China
    2.Chongqing Key Research Base of Port Logistics and Maritime Development, Chongqing 400074, China
    3.Chongqing Key Laboratory of Intelligent Logistics Network, Chongqing 400074, China
    4.School of Economics and Management, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Online:2023-10-01 Published:2023-10-01

摘要: 针对应急配送中需求的实时、紧迫等特点,提出无人机与车辆并行配送的在线订单分配及路径优化问题。构建无人机与车辆并行配送的在线模型,运用竞争分析方法证明得到问题下界为1.5;基于重规划思想设计在线均衡算法,运用最坏情形分析法证明其竞争比为2.5;研究在线算法中调用的离线算法,建立离线问题模型并设计无人机优先均衡算法,在小规模情形下通过与CPLEX所求的最优解进行对比,验证其算法的有效性。最后,通过仿真实验进行在线均衡算法分析,结果显示在输入参数改变下其性能稳定。结论可为应急物资车辆与无人机并行配送提供在线优化策略。

关键词: 无人机与车辆并行配送, 应急物资, 在线配送, 竞争分析

Abstract: Considering the real-time and urgent request in emergent delivery, an online truck-drone parallel delivery problem for request allocation and route plan is proposed. Firstly, an online delivery model is constructed, and the lower bound of the problem is proved to be 1.5 by online analysis. Secondly, an online equalization algorithm is designed based on plan-at-home idea, the competitive ratio of the algorithm is proved to be 2.5 by the worst-case analysis. Considering the online equalization algorithm invokes an offline algorithm, a corresponding offline problem is studied and a drone priority balance algorithm is designed. Its effectiveness is verified by comparing with the persecution results in small-scale cases. Finally, the stability of the online equalization algorithm with different input parameters is verified by simulation. This study provides online algorithm for truck-drone parallel delivery of emergency supplies.

Key words: truck-drone parallel delivery, emergency supplies, online delivery, competitive analysis