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Gradual cover competitive facility location

Author

Listed:
  • Tammy Drezner

    (California State University-Fullerton)

  • Zvi Drezner

    (California State University-Fullerton)

  • Pawel Kalczynski

    (California State University-Fullerton)

Abstract

A new gradual cover competitive facility location model is proposed and tested. In cover competitive models, it is assumed that up to a certain distance a demand point is attracted to a facility and beyond this distance it is not. The decline in attraction and cover is abrupt. It is either 0 or 1. We propose a gradual decline in attraction from 1 to 0. As the distance increases the attraction and cover decline. The buying power captured by a facility cannot exceed its attraction level, and the total buying power captured by all facilities cannot exceed the buying power available at the demand point. The single-facility location is optimally solved. The largest problem of 1000 demand points is solved in less than one second. The multiple facility version is solved by SNOPT and other solvers.

Suggested Citation

  • Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2020. "Gradual cover competitive facility location," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 333-354, June.
    • Handle: RePEc:spr:orspec:v:42:y:2020:i:2:d:10.1007_s00291-020-00585-x
    DOI: 10.1007/s00291-020-00585-x
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    References listed on IDEAS

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    Cited by:

    1. Tammy Drezner & Morton O’Kelly & Zvi Drezner, 2023. "Multipurpose shopping trips and location," Annals of Operations Research, Springer, vol. 321(1), pages 191-208, February.
    2. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    3. Zvi Drezner & Dawit Zerom, 2024. "A refinement of the gravity model for competitive facility location," Computational Management Science, Springer, vol. 21(1), pages 1-18, June.

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