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一类带时间和容量约束的截流选址问题
引用本文:马云峰,刘勇,杨超.一类带时间和容量约束的截流选址问题[J].武汉科技大学学报(自然科学版),2007,30(2):217-219.
作者姓名:马云峰  刘勇  杨超
作者单位:1. 武汉科技大学管理学院,湖北,武汉,430081
2. 华中科技大学管理学院,湖北,武汉,430074
基金项目:国家自然科学基金;武汉科技大学校科研和教改项目
摘    要:讨论一类在交通网络中设立服务站的最优选址问题。在给定的网络G(V,A)中有r对O-D用户流。在总建站费用最小的目标下考虑3个因素:每对用户流都能得到服务;每对用户流的时间满意度不低于某一给定值;每个服务站的服务能力是有限制的。通过分析这类问题的特征后,形成一个线性混合整数规划模型,并给出了求解实例。

关 键 词:网络选址  截流  时间满意
文章编号:1672-3090(2007)02-0217-03
修稿时间:2006-07-16

A flow interception location problem constrained by time satisfaction and capacity
Ma Yunfeng,Liu Yong,Yang Chao.A flow interception location problem constrained by time satisfaction and capacity[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2007,30(2):217-219.
Authors:Ma Yunfeng  Liu Yong  Yang Chao
Institution:1. College of Management, Wuhan University of Science and Technology, Wuhan 430081, China; 2. School of Management, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:This paper investigates a kind of service facilities optimal location problem in traffic network.Given a network with known origin destination pairs with customer flows,the following three constraints are considered under the goal of minimizing the total cost of facilities construction: each customer must be served once during the journey;the time satisfaction of trip for each O-D pair flow from origin to destination is supposed not to be smaller than a given value;the service capacity of each facility is limited.The problem is formulated as a linear mixed integer programming and an example is given to explain how to solve the problem after discussing the characteristics of this kind of problem.
Keywords:network location  flow interception  time satisfaction
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