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Multiple obnoxious facilities location: A cooperative model

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  • Tammy Drezner
  • Zvi Drezner
  • Pawel Kalczynski

Abstract

A given number of communities exist in an area. Several obnoxious facilities, such as polluting factories, garbage dumps, need to be located in the area. The nuisance emitted by the facilities is cumulative. The objective is to minimize the nuisance inflicted on the most affected community. This problem is useful for planners who frequently face the challenge of locating obnoxious facilities and have no easy way to determine a good set of locations for these facilities. No existing model considers the cumulative effect of nuisance generated by the facilities.A multi-start approach by the SNOPT and IPOPT solvers in Matlab, which are considered to be the best available general-purpose nonlinear solvers, gave poor results. However, an innovative, specially designed Voronoi-based heuristic produced much better results in a small fraction of the run time. In many cases, nuisance is cut by more than half, and run time is more than a hundred times faster. As detailed in the conclusions section, the applications of our methodology extend beyond the model presented in this article

Suggested Citation

  • Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2020. "Multiple obnoxious facilities location: A cooperative model," IISE Transactions, Taylor & Francis Journals, vol. 52(12), pages 1403-1412, December.
    • Handle: RePEc:taf:uiiexx:v:52:y:2020:i:12:p:1403-1412
    DOI: 10.1080/24725854.2020.1753898
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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. Tammy Drezner & Zvi Drezner & Dawit Zerom, 2023. "The Obnoxious Competitive Facility Location Model," Networks and Spatial Economics, Springer, vol. 23(4), pages 885-903, December.
    3. Brimberg, Jack & Kalczynski, Pawel & Drezner, Zvi, 2024. "Different formulations of the gray pattern problem and their optimal solutions," European Journal of Operational Research, Elsevier, vol. 316(1), pages 61-71.
    4. Pawel Kalczynski & Atsuo Suzuki & Zvi Drezner, 2023. "Obnoxious facility location in multiple dimensional space," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 331-354, July.
    5. Malgorzata Miklas-Kalczynska & Pawel Kalczynski, 2024. "Multiple obnoxious facility location: the case of protected areas," Computational Management Science, Springer, vol. 21(1), pages 1-21, June.
    6. Kalczynski, Pawel & Drezner, Zvi, 2022. "The Obnoxious Facilities Planar p-Median Problem with Variable Sizes," Omega, Elsevier, vol. 111(C).

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