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Facility location for large-scale emergencies

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  • Rongbing Huang
  • Seokjin Kim
  • Mozart Menezes

Abstract

In the p-center problem, it is assumed that the facility located at a node responds to demands originating from the node. This assumption is suitable for emergency and health care services. However, it is not valid for large-scale emergencies where most of facilities in a whole city may become functionless. Consequently, residents in some areas cannot rely on their nearest facilities. These observations lead to the development of a variation of the p-center problem with an additional assumption that the facility at a node fails to respond to demands from the node. We use dynamic programming approach for the location on a path network and further develop an efficient algorithm for optimal locations on a general network. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Rongbing Huang & Seokjin Kim & Mozart Menezes, 2010. "Facility location for large-scale emergencies," Annals of Operations Research, Springer, vol. 181(1), pages 271-286, December.
    • Handle: RePEc:spr:annopr:v:181:y:2010:i:1:p:271-286:10.1007/s10479-010-0736-8
    DOI: 10.1007/s10479-010-0736-8
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    References listed on IDEAS

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    1. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    2. Barbaros C. Tansel & Richard L. Francis & Timothy J. Lowe, 1983. "State of the Art---Location on Networks: A Survey. Part I: The p-Center and p-Median Problems," Management Science, INFORMS, vol. 29(4), pages 482-497, April.
    3. L. G. Chalmet & R. L. Francis & P. B. Saunders, 1982. "Network Models for Building Evacuation," Management Science, INFORMS, vol. 28(1), pages 86-105, January.
    4. Alberto Caprara & Paolo Toth & Matteo Fischetti, 2000. "Algorithms for the Set Covering Problem," Annals of Operations Research, Springer, vol. 98(1), pages 353-371, December.
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