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基于模糊规划求解旅客列车起讫站设置问题
引用本文:夏嫦,蒲松.基于模糊规划求解旅客列车起讫站设置问题[J].数学的实践与认识,2017(7):21-26.
作者姓名:夏嫦  蒲松
作者单位:1. 成都文理学院 数学与统计学院,四川 成都,610401;2. 成都工业学院 经济与管理学院,四川 成都,611730
基金项目:国家自然科学基金(61273242)
摘    要:针对列车起讫站设置中存在的模糊性与不确定性的问题,提出了结合模糊理论与规划理论确定列车起讫站的方法.以客运量、动车布局、路网地位以及社会属性最大为目标函数,以直达列车的最低客流需求、路网中的起讫站需求量为弹性约束,建立了模糊线性规划模型,采用了最大隶属度原则将模糊线性规划模型转化为一般线性规划模型的方法.最后以京沪高铁为案例进行了演算,实验结果证明方法的可行性与有效性.

关 键 词:列车开行方案  列车起讫站设置  多目标规划  模糊线性规划  最大隶属度原则

Determining the Origin and Destination of Train by the Fuzzy Linear Programming Model
XIA Chang,PU Song.Determining the Origin and Destination of Train by the Fuzzy Linear Programming Model[J].Mathematics in Practice and Theory,2017(7):21-26.
Authors:XIA Chang  PU Song
Abstract:Concerning the problem that it was some ambiguity and uncertainty to select the origin and destination of train,the method based on combining the fuzzy theory and programming theory to select the origin and destination of train was proposed.Then the fuzzy linear programming model was built.Maximizing something as passenger demand,train station layout,attribute of road network,status of social are the several planning objectives of the model.And the Constraints of the model included minimum passenger demand for direct train,longest travel distance for multiple unit train and so on.In addition,the model was turned into a linear programming according to the maximum degree of membership.At last,this model is also illustrated with the Beijing-Shanghai High Speed Railway in China.The result proves the feasibility and effectiveness of the proposed method.
Keywords:train service plan  origin and destination of train  multi-objective programming  fuzzy Line Problem  principle of maximum membership degree
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