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A Threshold‐Satisfying Competitive Location Model

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  • Tammy Drezner
  • Zvi Drezner
  • Shogo Shiode

Abstract

In this paper we consider a location model based on the threshold concept. We find the best location such that the probability of revenue falling short of the threshold is minimized. This objective is appropriate when a firm will not survive if its revenue falls below a known threshold. A new store is to be located. Demand is not deterministic but rather has a statistical distribution. We seek the location at which the probability that the revenue (expressed as market share attracted by the new store) is below a given threshold is minimized. The model is formulated and solved, and computational results are given.

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  • Tammy Drezner & Zvi Drezner & Shogo Shiode, 2002. "A Threshold‐Satisfying Competitive Location Model," Journal of Regional Science, Wiley Blackwell, vol. 42(2), pages 287-299, May.
    • Handle: RePEc:bla:jregsc:v:42:y:2002:i:2:p:287-299
    DOI: 10.1111/1467-9787.00259
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    Cited by:

    1. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    2. Jiang, Yuanchun & Liu, Yezheng & Shang, Jennifer & Yildirim, Pinar & Zhang, Qingfu, 2018. "Optimizing online recurring promotions for dual-channel retailers: Segmented markets with multiple objectives," European Journal of Operational Research, Elsevier, vol. 267(2), pages 612-627.
    3. Blanquero, R. & Carrizosa, E. & Hendrix, E.M.T., 2011. "Locating a competitive facility in the plane with a robustness criterion," European Journal of Operational Research, Elsevier, vol. 215(1), pages 21-24, November.
    4. Tammy Drezner, 2009. "Location of retail facilities under conditions of uncertainty," Annals of Operations Research, Springer, vol. 167(1), pages 107-120, March.
    5. Haase, Knut & Hoppe, Mirko, 2008. "Standortplanung unter Wettbewerb - Teil 1: Grundlagen," Discussion Papers 2/2008, Technische Universität Dresden, "Friedrich List" Faculty of Transport and Traffic Sciences, Institute of Transport and Economics.
    6. Burcin Bozkaya & Seda Yanik & Selim Balcisoy, 2010. "A GIS-Based Optimization Framework for Competitive Multi-Facility Location-Routing Problem," Networks and Spatial Economics, Springer, vol. 10(3), pages 297-320, September.
    7. 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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