运筹与管理 ›› 2019, Vol. 28 ›› Issue (6): 41-47.DOI: 10.12005/orms.2019.0126

• 理论分析与方法探讨 • 上一篇    下一篇

震后初期应急物资短缺情景下的定位-路径问题研究

盛虎宜1, 刘长石2,3, 鲁若愚1   

  1. 1.电子科技大学 经济与管理学院,四川 成都 611731;
    2.湖南商学院 工商管理学院,湖南 长沙 410205;
    3.湖南商学院 移动商务智能湖南省重点实验室,湖南 长沙 410205
  • 收稿日期:2017-07-09 出版日期:2019-06-25
  • 通讯作者: 刘长石(1975-),男,湖南邵阳人,博士,副教授,硕士生导师,研究方向:物流与供应链管理、应急管理与多目标决策。
  • 作者简介:盛虎宜(1974-),男,湖南益阳人,博士研究生,研究方向:服务科学与工程、应急管理;鲁若愚(1959-)男,四川仁寿人,教授、博士生导师,研究方向:服务科学与工程;
  • 基金资助:
    国家社会科学基金项目(17BJL091);湖南省自科基金项目(2019JJ40147);湖南省教育厅项目(18A297,17C0881);湖南省社科基金项目(18YBA267);湖南省社会科学成果评审委员会项目(GLX235)

Location-routing Problem with Relief Shortage in the Early Stage after Earthquake

SHENG Hu-yi1, LIU Chang-shi2,3, LU Ruo-yu1   

  1. 1.School of Economics and Management, University of Electronic Science and Technology of China, Chengdu 611731, China;
    2.School of Management, Hunan University of Commerce, Changsha 410205, China;
    3.Key Laboratory of Hunan Province for Mobile Business Intelligence, Hunan University of Commerce, Changsha 410205, China
  • Received:2017-07-09 Online:2019-06-25

摘要: 基于公平视角研究震后初期灾区应急物资短缺情景下的定位-路径问题(location-routing problem,LRP),综合考虑灾害级别、灾区应急路网不同程度损毁、需求点易损性与车辆随机行驶时间等因素,以单个需求点的最大损失最小作为应急物资分配的公平性衡量指标、以总配送时间最短作为应急物资配送的效率性衡量指标,在此基础上构建双目标LRP模型,并基于分层序列法思想设计一种二阶段混合启发式求解算法。最后,采用汶川地震之后的帐篷配送数据验证本文方法公平性与效率性兼顾。

关键词: 应急物资短缺, 公平分配, 定位-路径问题, 公平与效率

Abstract: The location-routing problem(LRP)of relief delivery is studied based on fairness with the consideration of the relief shortage in the early stage after the earthquake. A dual objective LRP optimization model of relief distribution is formulated by considering the disaster level, various degrees of road damage in the disaster area, the vulnerabilities of demand nodes and vehicle random travel time. The first objective is to minimize the maximum loss of each demand node on behalf the fairness of relief allocation, and the second objective is to minimize the total distribution time on behalf the efficiency of relief distribution. A two-stage hybrid heuristic algorithm is designed based on the lexicographic method. Finally, the fairness and efficiency of the proposed approaches are proved by the numerical results of the tent distribution after Wenchuan earthquake.

Key words: relief shortage, fair allocation, location-routing problem, fairness and efficiency

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