计算机集成制造系统 ›› 2021, Vol. 27 ›› Issue (8): 2270-2281.DOI: 10.13196/j.cims.2021.08.010

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带软时间窗随机需求车辆路径问题的算法研究

李国明,李军华+   

  1. 南昌航空大学江西省图像处理与模式识别重点实验室
  • 出版日期:2021-08-31 发布日期:2021-08-31
  • 基金资助:
    国家自然科学基金资助项目(61440049,61866025,61866026);江西省自然科学基金资助项目(20181BAB202025);江西省优势科技创新团队计划资助项目(20181BCB24008)。

Algorithms for vehicle routing problem with stochastic demand with soft time window

  • Online:2021-08-31 Published:2021-08-31
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.61440049,61866025,61866026),the Natural Science Foundation of Jiangxi Province,China(No.20181BAB202025),and the Superiority Science and Technology Innovation Team Program of Jiangxi Province,China(No.20181BCB24008).

摘要: 针对带软时间窗的随机需求车辆路径问题求解过程中存在的大规模车辆规划复杂度较高、规划时间较长、客户需求未知等问题,提出一种改进两阶段算法。第一阶段将客户随机需求作确定化处理,使其等于期望值,然后引入自适应禁忌长度、自适应惩罚系数和改进邻域结构,以解决车辆偏离时间窗问题,最后得到最初的规划方案,但该方案仍存在一定误差;第二阶段采用选择回配送中心算法修正第一阶段所求解的误差。实验结果表明,改进后的两阶段算法具有较强的寻优能力和较高的鲁棒性,能够快速找到合理的解决方案。

关键词: 随机需求, 禁忌搜索, 修正算法, 车辆路径问题

Abstract: In the solving process of Vehicle Routing Problem with Stochastic Demand and Soft Time Window (VRPSD-STW),the problems such as high complexity,long planning time and unknown customer's demand of large scale vehicle routing planning are existed.For this reason,an improved two-stage algorithm was proposed.In the first stage,the customer's stochastic demand was determined that made it equal to the expected value.The adaptive tabu length,adaptive penalty coefficient and improved neighborhood structure were introduced to solve the problem of vehicle departure from soft time.The original planning scheme was obtained finally that still had some errors.In the second stage,Select Return to Depot algorithm (SRTD) was used to correct the error of the solution obtained in the first stage.The experimental results showed that the improved two-stage algorithm had strong optimization ability and high robustness,which could quickly find a reasonable solution.

Key words: stochastic demand, tabu search, modified algorithm, vehicle routing problem

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