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McThresh: Modeling Maximum Coverage with Threshold Constraints

Author

Listed:
  • P V Balakrishnan

    (Faculty of Marketing, Ohio State University, Columbus, OH 43210, USA)

  • J E Storbeck

    (Faculty of Management Sciences, Ohio State University, Columbus, OH 43210, USA)

Abstract

Working within the location covering framework, the authors develop a mathematical programming approach for siting facilities which maximizes the extent of spatial market coverage, while maintaining threshold-demand levels for individual facility sites. The model, known as McTHRESH, can be formulated so that the number of facilities is either determined endogenously or stipulated exogenously. The working of the model is demonstrated with numerical examples.

Suggested Citation

  • P V Balakrishnan & J E Storbeck, 1991. "McThresh: Modeling Maximum Coverage with Threshold Constraints," Environment and Planning B, , vol. 18(4), pages 459-472, December.
    • Handle: RePEc:sae:envirb:v:18:y:1991:i:4:p:459-472
    DOI: 10.1068/b180459
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    References listed on IDEAS

    as
    1. Mark S. Daskin, 1983. "A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution," Transportation Science, INFORMS, vol. 17(1), pages 48-70, February.
    2. Mark S. Daskin & Edmund H. Stern, 1981. "A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment," Transportation Science, INFORMS, vol. 15(2), pages 137-152, May.
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    Citations

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    Cited by:

    1. 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.
    2. Carreras, Miquel & Serra, Daniel, 1999. "On optimal location with threshold requirements," Socio-Economic Planning Sciences, Elsevier, vol. 33(2), pages 91-103, June.
    3. Papathanasiou, Jason & Manos, Basil D., 2007. "An approximation algorithm for the location of dairy enterprises under time constraints," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1479-1487, November.
    4. Xu, Jing & Murray, Alan T. & Church, Richard L. & Wei, Ran, 2023. "Service allocation equity in location coverage analytics," European Journal of Operational Research, Elsevier, vol. 305(1), pages 21-37.

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