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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.
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Socio-Economic Planning Sciences.

    Volume (Year): 46 (2012)
    Issue (Month): 1 ()
    Pages: 78-87

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    Handle: RePEc:eee:soceps:v:46:y:2012:i:1:p:78-87

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    Web page: http://www.elsevier.com/locate/seps

    Related research

    Keywords: Capacitated facility location; Distance-dependent coverage; Demand uncertainty; Emergency response; Locate-allocate heuristic;

    References

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    1. 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.
    2. E S Sheppard, 1974. "A conceptual framework for dynamic location - allocation analysis," Environment and Planning A, Pion Ltd, London, vol. 6(5), pages 547-564, May.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    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. 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.
    10. 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.
    11. 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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    Cited by:
    1. Zeinal Hamadani, Ali & Abouei Ardakan, Mostafa & Rezvan, Taghi & Honarmandian, Mohammad Mehran, 2013. "Location-allocation problem for intra-transportation system in a big company by using meta-heuristic algorithm," Socio-Economic Planning Sciences, Elsevier, vol. 47(4), pages 309-317.

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