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基于模糊多分配的辽宁煤炭枢纽站选址研究
引用本文:赵宝福,徐雅臣.基于模糊多分配的辽宁煤炭枢纽站选址研究[J].统计与信息论坛,2012(3):50-55.
作者姓名:赵宝福  徐雅臣
作者单位:辽宁工程技术大学工商管理学院;北京化工大学北方学院经济管理学院
摘    要:提出一种模糊多分配p枢纽站中位问题,其中运输成本定义为模糊变量,问题的目标函数是在给定的可信性水平下,最小化总的运输成本。对于梯形和正态运输成本,问题等价于确定的混合整数线性规划问题。在实证分析中,选取了辽宁省煤炭产业的相关面板数据,分析计算在不同可信度水平下煤炭运输枢纽站设立的数量和位置,再利用传统的优化方法(如分枝定界法)求解。经计算,这一模型和求解方法可以用来解决辽宁省煤炭运输的选址问题。

关 键 词:p枢纽中位问题  模糊运输成本  可信性  混合整数线性规划

Location for Coal Hub of Liaoning Based on Fuzzy Multi-assignment
ZHAO Bao-fu,XU Ya-chen.Location for Coal Hub of Liaoning Based on Fuzzy Multi-assignment[J].Statistics & Information Tribune,2012(3):50-55.
Authors:ZHAO Bao-fu  XU Ya-chen
Institution:1.College of Business Administration,Liaoning Technical University,Huludao 125105,China; 2.School of Economics and Management,North College of Beijing University of Chemical Technology,Langfang 065201,China)
Abstract:This paper present a fuzzy multi-assignment-hub median problem,in which travel cost is characterized by fuzzy variables.The objective of the problem is to minimize the total travel cost for a given credibility level.For trapezoidal and normal travel cost,the problem is equivalent to a deterministic mixed-integer linear programming problem.Therefore,we can choose the relevant panel data of coal industry in liaoning province,analysis and calculated the number and position of the coal transport hub station at different levels of the credibility.So,we can employ conventional optimization methods such as branch-and-bound method to solve the deterministic programming problem.Finally,the validity of the proposed model and the effectivenss of solution method can be used to solve Liao Ning,s coal transport problem.
Keywords:p-hub median problem  fuzzy travel cost  credibility  mixed-integer linear programming
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