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The Maximal Covering Location Problem with Capacities on Total Workload

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Author Info

  • Hasan Pirkul

    (College of Business, Ohio State University, 1775 College Road, Columbus, Ohio 43210)

  • David A. Schilling

    (College of Business, Ohio State University, 1775 College Road, Columbus, Ohio 43210)

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    Abstract

    The Maximal Covering Location Problem (MCLP) has been the focus of considerable attention both in research and practice for some time, and numerous extensions have been proposed to broaden its appeal and enhance its applicability. In this paper, we are concerned with the addition of workload limits on the facilities. While not generally difficult to formulate, these capacity constraints make the model substantially more difficult to solve, as well as create certain pathological results, particularly in the assignment of uncovered demand to facilities. First we discuss these pathologies and extend the capacitated MCLP to address them. Then, we present an efficient solution procedure that is applicable to both simple and extended problem formulations. Finally, results of extensive tests on the solution procedure are presented and a "real-world" scale example is solved to explore the implications of the model.

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    File URL: http://dx.doi.org/10.1287/mnsc.37.2.233
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 37 (1991)
    Issue (Month): 2 (February)
    Pages: 233-248

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    Handle: RePEc:inm:ormnsc:v:37:y:1991:i:2:p:233-248

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    Related research

    Keywords: location analysis; maximal covering location problem;

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    Cited by:
    1. Bapna, Ravi & Thakur, Lakshman S. & Nair, Suresh K., 2002. "Infrastructure development for conversion to environmentally friendly fuel," European Journal of Operational Research, Elsevier, vol. 142(3), pages 480-496, November.
    2. Miquel Carreras & Daniel Serra, 1997. "On optimal location with treshold requirements," Economics Working Papers 220, Department of Economics and Business, Universitat Pompeu Fabra.
    3. Boffey, Brian & Galvao, Roberto & Espejo, Luis, 2007. "A review of congestion models in the location of facilities with immobile servers," European Journal of Operational Research, Elsevier, vol. 178(3), pages 643-662, May.
    4. Ioannis Giannikos, 2010. "Fuzzy goal programming models for analyzing demand coverage," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 18(1), pages 185-202, July.
    5. Jayaraman, Vaidyanathan & Pirkul, Hasan, 2001. "Planning and coordination of production and distribution facilities for multiple commodities," European Journal of Operational Research, Elsevier, vol. 133(2), pages 394-408, January.
    6. Jayaraman, Vaidyanathan & Gupta, Rakesh & Pirkul, Hasan, 2003. "Selecting hierarchical facilities in a service-operations environment," European Journal of Operational Research, Elsevier, vol. 147(3), pages 613-628, June.
    7. Daniel Serra & Charles Revelle & Ken Rosing, 1999. "Surviving in a competitive spatial market: The threshold capture model," Economics Working Papers 359, Department of Economics and Business, Universitat Pompeu Fabra.
    8. Kevin Curtin & Karen Hayslett-McCall & Fang Qiu, 2010. "Determining Optimal Police Patrol Areas with Maximal Covering and Backup Covering Location Models," Networks and Spatial Economics, Springer, vol. 10(1), pages 125-145, March.

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