TWO BI-OBJECTIVE OPTIMIZATION MODELS FOR COMPETITIVE LOCATION PROBLEMS

Fengmei Yang, Guowei Hua, Hiroshi Inoue and Jianming Shi ()
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Fengmei Yang: Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China
Guowei Hua: Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China
Hiroshi Inoue: School of Management, Tokyo University of Science, Kuki, Saitama 346-8512, Japan
Jianming Shi: Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Hokkaido 050-8585, Japan

International Journal of Information Technology & Decision Making (IJITDM), 2006, vol. 05, issue 03, 531-543

Abstract: This paper deals with two bi-objective models arising from competitive location problems. The first model simultaneously intends to maximize market share and to minimize cost. The second one aims to maximize both profit and the profit margin. We study some of the related properties of the models, examine relations between the models and a single objective parametric integer programming problem, and then show how both bi-objective location problems can be solved through the use of a single objective parametric integer program. Based on this, we propose two methods of obtaining a set of efficient solutions to the problems of fundamental approach. Finally, a numerical example is presented to illustrate the solution techniques.

Keywords: Facilities; competitive location; bi-objective; parametric programming (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219622006002118

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