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Facility location under demand uncertainty: Response to a large-scale bio-terror attack

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  • Murali, Pavankumar
  • Ordóñez, Fernando
  • Dessouky, Maged M.

Abstract

In the event of a catastrophic bio-terror attack, major urban centers need to efficiently distribute large amounts of medicine to the population. In this paper, we consider a facility location problem to determine the points in a large city where medicine should be handed out to the population. We consider locating capacitated facilities in order to maximize coverage, taking into account a distance-dependent coverage function and demand uncertainty. We formulate a special case of the maximal covering location problem (MCLP) with a loss function, to account for the distance-sensitive demand, and chance-constraints to address the demand uncertainty. This model decides the locations to open, and the supplies and demand assigned to each location. We solve this problem with a locate-allocate heuristic. We illustrate the use of the model by solving a case study of locating facilities to address a large-scale emergency of a hypothetical anthrax attack in Los Angeles County.

Suggested Citation

  • Murali, Pavankumar & Ordóñez, Fernando & Dessouky, Maged M., 2012. "Facility location under demand uncertainty: Response to a large-scale bio-terror attack," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 78-87.
    • Handle: RePEc:eee:soceps:v:46:y:2012:i:1:p:78-87
    DOI: 10.1016/j.seps.2011.09.001
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    References listed on IDEAS

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    1. James V. Jucker & Robert C. Carlson, 1976. "The Simple Plant-Location Problem under Uncertainty," Operations Research, INFORMS, vol. 24(6), pages 1045-1055, December.
    2. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location and design problem," European Journal of Operational Research, Elsevier, vol. 182(1), pages 40-62, October.
    3. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    4. Mirchandani, Pitu B. & Oudjit, Aissa & Wong, Richard T., 1985. "`Multidimensional' extensions and a nested dual approach for the m-median problem," European Journal of Operational Research, Elsevier, vol. 21(1), pages 121-137, July.
    5. M Gendreau & G Laporte & F Semet, 2006. "The maximal expected coverage relocation problem for emergency vehicles," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(1), pages 22-28, January.
    6. Sherali, Hanif D. & Carter, Todd B. & Hobeika, Antoine G., 1991. "A location-allocation model and algorithm for evacuation planning under hurricane/flood conditions," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 439-452, December.
    7. Rawls, Carmen G. & Turnquist, Mark A., 2010. "Pre-positioning of emergency supplies for disaster response," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 521-534, May.
    8. Berman, Oded & Gavious, Arieh, 2007. "Location of terror response facilities: A game between state and terrorist," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1113-1133, March.
    9. Berman, Oded & Drezner, Zvi & Krass, Dmitry & Wesolowsky, George O., 2009. "The variable radius covering problem," European Journal of Operational Research, Elsevier, vol. 196(2), pages 516-525, July.
    10. Yi, Wei & Ozdamar, Linet, 2007. "A dynamic logistics coordination model for evacuation and support in disaster response activities," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1177-1193, June.
    11. Chang, Mei-Shiang & Tseng, Ya-Ling & Chen, Jing-Wen, 2007. "A scenario planning approach for the flood emergency logistics preparation problem under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 737-754, November.
    12. M. Hodgson & Soren Jacobsen, 2009. "A hierarchical location-allocation model with travel based on expected referral distances," Annals of Operations Research, Springer, vol. 167(1), pages 271-286, March.
    13. François V. Louveaux & D. Peeters, 1992. "A Dual-Based Procedure for Stochastic Facility Location," Operations Research, INFORMS, vol. 40(3), pages 564-573, June.
    14. Berman, Oded & Drezner, Zvi, 2008. "The p-median problem under uncertainty," European Journal of Operational Research, Elsevier, vol. 189(1), pages 19-30, August.
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