Risk based facility location by using fault tree analysis in disaster management

Date
2015
Authors
Akgün, T.
Gümüşbuğa F.
Tansel, B.
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Omega (United Kingdom)
Print ISSN
0305-0483
Electronic ISSN
Publisher
Elsevier Ltd
Volume
52
Issue
Pages
168 - 179
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
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Abstract

Determining the locations of facilities for prepositioning supplies to be used during a disaster is a strategic decision that directly affects the success of disaster response operations. Locating such facilities close to the disaster-prone areas is of utmost importance to minimize response time. However, this is also risky because the facility may be disrupted and hence may not support the demand point(s). In this study, we develop an optimization model that minimizes the risk that a demand point may be exposed to because it is not supported by the located facilities. The purpose is to choose the locations such that a reliable facility network to support the demand points is constructed. The risk for a demand point is calculated as the multiplication of the (probability of the) threat (e.g., earthquake), the vulnerability of the demand point (the probability that it is not supported by the facilities), and consequence (value or possible loss at the demand point due to threat). The vulnerability of a demand point is computed by using fault tree analysis and incorporated into the optimization model innovatively. To our knowledge, this paper is the first to use such an approach. The resulting non-linear integer program is linearized and solved as a linear integer program. The locations produced by the proposed model are compared to those produced by the p-center model with respect to risk value, coverage distance, and covered population by using several test problems. The model is also applied in a real problem. The results indicate that taking the risk into account explicitly may create significant differences in the risk levels. © 2014 Elsevier Ltd.

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Book Title
Keywords
Disaster management, Fault tree analysis, Location, P-Center risk model, Risk, Vulnerability
Citation
Published Version (Please cite this version)