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Reliable facility location problem considering facility failure scenarios

Min Zhang (School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, People's Republic of China)
Jun Huang (School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, People's Republic of China)
Jian‐ming Zhu (School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, People's Republic of China)

Kybernetes

ISSN: 0368-492X

Article publication date: 12 October 2012

872

Abstract

Purpose

The facility in an emergency system could be immobilized because of the huge destructive power of an irregular emergency and the uncertainty of the time, place and scale of occurrence. So facility failure scenarios must be considered at the time of location. The purpose of this paper is to establish a location model based on the worst facility failure, the objective of which is to minimize the cost and cover the demand maximally. It is demonstrated that location choice, considering facility failure, has significant meaning when considering economic benefit and covering the demand.

Design/methodology/approach

A bi‐level programming model which studies the facility location is established by using the methods of scenario analysis and robust optimization. It is compared with a classic location model, without considering facility failure, from the points of view of economic benefit and maximal covering demand.

Findings

Compared to the classic location model, without considering facility failure, it is demonstrated that the location model which considers facility failure can save more costs from the economic benefit point of view and, from the maximal covering of the demand point of view, has a higher covering ratio. So facility failure scenario should be considered in the location of an emergency facility.

Originality/value

The paper studies facility location based on the worst scenario, from the two aspects of economic benefits and maximal covering demand.

Keywords

Citation

Zhang, M., Huang, J. and Zhu, J. (2012), "Reliable facility location problem considering facility failure scenarios", Kybernetes, Vol. 41 No. 10, pp. 1440-1461. https://doi.org/10.1108/03684921211276666

Publisher

:

Emerald Group Publishing Limited

Copyright © 2012, Emerald Group Publishing Limited

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