Location and Design Decisions of Facilities in a Distribution System with Elastic Customer Demand

This paper describes a bi-level programming model that seeks to simultaneously optimize location and design decisions of facilities in a distribution system in order to realize company's maximal total profit subject to the constraints on the facility capacity and the investment budget. In the upper-...

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Published inShanghai jiao tong da xue xue bao Vol. 14; no. 5; pp. 606 - 612
Main Author 王雪峰
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai Jiaotong University Press 01.10.2009
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ISSN1007-1172
1995-8188
DOI10.1007/s12204-009-0606-1

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Abstract This paper describes a bi-level programming model that seeks to simultaneously optimize location and design decisions of facilities in a distribution system in order to realize company's maximal total profit subject to the constraints on the facility capacity and the investment budget. In the upper-level problem, twoechelon integrated competitive/uncompetitive capacitated facility location model, which involves facility location and design, is presented. In the lower-level problem, customer is assumed to patronize store based on facility utility which is expressed by service time cost in the store and its travel cost to customer. Customer's facility choice behavior is presented by a stochastic user equilibrium assignment model with elastic demand. Since such a distribution system design problem belongs to a class of NP-hard problem, a genetic algorithm (GA)-based heuristic procedure is presented. Finally, a numerical example is used to illustrate the application of the proposed model and some parameter sensitivity analyses are presented.
AbstractList This paper describes a bi-level programming model that seeks to simultaneously optimize location and design decisions of facilities in a distribution system in order to realize company’s maximal total profit subject to the constraints on the facility capacity and the investment budget. In the upper-level problem, two-echelon integrated competitive/uncompetitive capacitated facility location model, which involves facility location and design, is presented. In the lower-level problem, customer is assumed to patronize store based on facility utility which is expressed by service time cost in the store and its travel cost to customer. Customer’s facility choice behavior is presented by a stochastic user equilibrium assignment model with elastic demand. Since such a distribution system design problem belongs to a class of NP-hard problem, a genetic algorithm (GA)-based heuristic procedure is presented. Finally, a numerical example is used to illustrate the application of the proposed model and some parameter sensitivity analyses are presented.
This paper describes a bi-level programming model that seeks to simultaneously optimize location and design decisions of facilities in a distribution system in order to realize company's maximal total profit subject to the constraints on the facility capacity and the investment budget. In the upper-level problem, twoechelon integrated competitive/uncompetitive capacitated facility location model, which involves facility location and design, is presented. In the lower-level problem, customer is assumed to patronize store based on facility utility which is expressed by service time cost in the store and its travel cost to customer. Customer's facility choice behavior is presented by a stochastic user equilibrium assignment model with elastic demand. Since such a distribution system design problem belongs to a class of NP-hard problem, a genetic algorithm (GA)-based heuristic procedure is presented. Finally, a numerical example is used to illustrate the application of the proposed model and some parameter sensitivity analyses are presented.
Author 王雪峰
AuthorAffiliation Research Center of Cluster and Enterprise Development, School of Business and Management, Jiangxi University of Finance and Economics, Nanchang 330013, China Department of Industrial Engineering and Logistics Engineering, Shanghai Jiaotong University, Shanghai 200240, China
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Cites_doi 10.1002/nav.20169
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SubjectTerms Architecture
Computer Science
Electrical Engineering
Engineering
Life Sciences
Materials Science
分配制度
双层规划模型
敏感性分析
设施设计
随机用户平衡
需求弹性
Title Location and Design Decisions of Facilities in a Distribution System with Elastic Customer Demand
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