综合模糊TOPSIS决策的应急物资储备库多级覆盖选址模型

摘要/Abstract

摘要： 研究应急物资储备库选址理论和方法在应对当前频发的重大突发事件具有重要的现实意义和理论价值。针对现有设施选址理论存在的局限性，提出综合模糊TOPSIS决策的应急物资储备库多级覆盖选址模型。在分析应急物资储备库选址影响因素的基础上，构建应急物资储备库选址评价指标体系，运用模糊TOPSIS方法对候选应急物资储备库进行初选；基于“备用覆盖”和“部分覆盖”思想，建立应急物资储备库多级覆盖选址模型，运用遗传算法对模型求解，确定最终选址方案；以一个算例对算法进行验证，分析了算法的有效性。

关键词: 应急物资储备库, 模糊TOPSIS方法, 多级覆盖选址模型, 遗传算法

Abstract: It is of great significance to study the location theory for emergency supply stockpile in response to frequently occurring large-scale emergency events. To overcome the limitation of the existing location theory, a location model is put forward by combining fuzzy TOPSIS method and multi-level coverage for emergency supply stockpile. By analyzing the factors that affect the emergency supply stockpile location, an indicator system of facility location is established. The fuzzy TOPSIS method is used to select the primary candidate facility set. Then, based on the idea of “backup coverage” and “partial coverage”, a multi-level coverage location model is constructed for determining the best solution. A genetic algorithm procedure based on Matlab 70 is developed to solve the model. Numerical experiment is conducted to test the proposed method and result shows that it is effective.

Key words: emergency supply stockpile, fuzzy TOPSIS method, multi-level coverage location model, genetic algorithm

肖俊华1,2，侯云先1. 综合模糊TOPSIS决策的应急物资储备库多级覆盖选址模型[J]. 工业工程, 2013, 16(1): 91-98.

Xiao Jun-hua1,2, Hou Yun-xian1. An Emergency Supply Stockpile Location Model by Combining Fuzzy TOPSIS Method and Multi-Level Coverage[J]. Industrial Engineering Journal , 2013, 16(1): 91-98.

参考文献

［1］Cooper L. Location-allocation problems［M］. Operation Research，1963, 11(3):331-343. ［2］Hakimi S L. Optimum locations of switching centers and the absolute centers and medians of a graph［J］.Operations Research,1964,12(3):450-459. ［3］Wang F, Xu Y, Li Y X. A review of the discrete facility location problem［J］.International Journal of Plant Engineering and Management, 2006, 11(1):40-50. ［4］方磊,何建敏.综合AHP和目标规划方法的应急系统选址规划模型［J］.系统工程理论与实践,2003,23(12):116-120. Fang L, He J M. Combining the AHP and goal programming for location model of emergency systems［J］.Systems Engineering-theory & Practice, 2003,23(12):116-120. ［5］方磊.基于偏好DEA的应急系统选址模型研究［J］.系统工程理论与实践,2006,26(8):116-122. Fang L. Research on location model of emergency system based on DEA with preference information ［J］.Systems Engineering-theory & Practice, 2006, 26(8):116-122. ［6］田依林.基于FAHP 法的应急物资储备库选址研究［J］.武汉理工大学学报:交通科学与工程版,2010,34(2):354-357. Tian Y L. Critical materials based on FAHP Law reservoir selected location ［J］.Journal of Wuhan University of Technology: Transportation Science & Engineering, 2010, 34(2):354-357. ［7］赵远飞,陈国华.基于改进逼近理想解排序(TOPSIS)法的应急系统优化选址模型研究［J］.中国安全科学学报,2008,18(9):22-28. Zhao Y F, Chen G H. Study on location optimizing model of emergency system based on improved TOPSIS method ［J］.China Safety Science Journal,2008, 18(9): 22-28. ［8］Brandeau M L. An overview of representative problems in location research ［J］. Management Science, 1989, 35(6):645-674. ［9］Owen S H, Daskin M S. Strategic facility location: A review ［J］.European Journal of Operation Research, 1998, 111(3):423-447. ［10］Drezner Z, Hamacher H W. Facility location: applications and theory ［M］. Berlin: Springer，2002. ［11］ReVelle C S, Eiselt H A, Location analysis: A synthesis and survey ［J］. European Journal of Operational Research, 2005, 165(1): 1-19. ［12］Sahin G, Süral H. A review of hierarchical facility location models ［J］. Computers & Operations Research, 2007, 34(8): 2310-2331. ［13］ReVelle C S, Eiselt H A, Daskin M S. A bibliography for some fundamental problem categories in discrete location science［J］, European Journal of Operational Research, 2008,184(3):817-848. ［14］Reza Z F, Nasrin A. Covering problems in facility location: A review ［J］.Computers & Industrial Engineering, 2012, 62(1): 368-407. ［15］Hogan K, ReVelle C S. Concepts and applications of backup coverage ［J］.Management Science, 1986, 32(22):1434-1444. ［16］Karasakal O, Karasakal E K. A maximal covering location model in the presence of partial coverage ［J］.Computers & Operations Research, 2004, 31(9):1515-1526. ［17］岳超源.决策理论与方法［M］.北京:科学出版社,2003. ［18］邹建平, 吴应宇. 基于模糊 TOPSIS方法的区域物流基础设施布局方案评价研究［J］.东南大学学报:哲学社会科学版,2011,13(1):33-36. Zou J P, Wu Y Y.A study of the fuzzy TOPSIS-based regional logistics: an analysis of the regional logistics facilities layout ［J］.Journal of Southeast University： Philosophy and Social Science, 2011, 13(1):33-36. ［19］Chen C T. Extensions of the TOPSIS for group decision-making under fuzzy environment ［J］. Fuzzy Sets and Systems, 2000, 114(1):1-9. ［20］Narasimhan S, Pirkul H, Schilling D A. Capacitated emergency facility siting with multiple levels of backup ［J］.Annals of Operations Research, 1992, 40(1):323-337. ［21］万凤娇.基于多目标规划的危险废弃物物流选址一选线模型研究［D］.武汉：武汉理工大学，2010. Wan F J. Study on hazardous waste logistics location routing problem model based on multi-objective programming ［D］. Wuhan: Wuhan University of Technology, 2010. ［22］Jia H Z, Ordó〖AKn~D〗ez F, Dessouky M M. Solution approaches for facility location of medical supplies for large-scale emergencies［J］. Computers & Industrial Engineering,2007,52(1): 257-276. ［23］Beasley J E, Chu P C. A genetic algorithm for the set covering problem ［J］. European Journal of Operational Research, 1996, 94(2):392-404. ［24］Lorena L, Lopez L S. Genetic algorithms applied to computationally difficult set covering problems ［J］. Journal of the Operational Research Society, 1997, 48(4):440-445. ［25］Aickelin U. An indirect genetic algorithm for set covering problems ［J］. Journal of the Operational Research Society, 2002, 53(10):1118-1126. ［26］Alp O, Drezner Z, Erkut E. An efficient genetic algorithm for the p-median problem［J］. Annals of Operations Research, 2003, 122(1-4):21-42. ［27］Indriasari V, Mahmud A R, Ahmad N，et al. Maximal service area problem for optimal siting of emergency facilities［J］.International Journal of Geographical Information Science, 2010,24(2):213-230.

[1]	张正敏, 管在林, 岳磊. 基于Lévy Flight的混合GA在柔性作业车间调度问题中的性能分析[J]. 工业工程, 2021, 24(4): 83-92.
[2]	王晓军, 王博, 晋民杰, 杨春霞, 白新利. 改进多种群遗传算法的AutoStore系统多AGV调度优化[J]. 工业工程, 2021, 24(4): 112-118,167.
[3]	王莹莹, 吴立云. 基于改进NSGA-II的多项目多技能人力资源调度研究[J]. 工业工程, 2021, 24(3): 130-138.
[4]	曾创锋, 刘建军, 陈庆新, 毛宁. 求解一类无关并行机调度的遗传迭代贪心算法[J]. 工业工程, 2021, 24(2): 110-118.
[5]	黄露, 纪延光. 考虑顾客延误损失的配送中心选址双层规划问题研究[J]. 工业工程, 2021, 24(2): 141-147.
[6]	王冰怡, 张锦. 考虑网点共享与变更的多级快递网点选址问题[J]. 工业工程, 2021, 24(2): 155-165.
[7]	马跃如, 文铮, 易丹. 考虑老年人满意度的多目标居家养老护理员路径优化[J]. 工业工程, 2021, 24(1): 74-81,103.
[8]	王玖河, 高辉, 刘欢. 基于遗传算法的共享助力车调度问题研究[J]. 工业工程, 2021, 24(1): 90-96.
[9]	吴斌, 宋琰, 程晶, 董敏. 基于密度峰值聚类的VRPTW问题研究[J]. 工业工程, 2020, 23(5): 58-66,74.
[10]	王苏林, 邱菲尔, 陈凡, 刘川昆, 鹿腾, 王芷芸. 基于贪心遗传的地下物流节点选择规划研究[J]. 工业工程, 2020, 23(5): 88-95.
[11]	侯艳, 黄康焕, 张亿仙, 伍乃骐. 原油一次加工过程的多目标调度优化[J]. 工业工程, 2020, 23(4): 131-139.
[12]	王泽, 杨信丰, 刘兰芬. 考虑电量消耗的车辆调度优化研究[J]. 工业工程, 2020, 23(4): 140-147.
[13]	曾垂飞, 刘建军, 陈庆新, 毛宁. 装配作业车间分批调度问题的算法对比[J]. 工业工程, 2020, 23(4): 174-182.
[14]	张巍, 李鹏翔, 仝自强, 岳毅蒙. 基于损坏车辆分布预测与损益阈值分析下的共享单车回收研究[J]. 工业工程, 2020, 23(3): 132-137.
[15]	张国辉, 胡一凡, 孙靖贺. 改进遗传算法求解多时间约束的柔性作业车间调度问题[J]. 工业工程, 2020, 23(2): 19-25,48.