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The expropriation location problem

Author

Listed:
  • O Berman

    (University of Toronto)

  • Z Drezner

    (California State University-Fullerton)

  • G O Wesolowsky

    (McMaster University)

Abstract

In this paper, we consider the location of a new obnoxious facility that serves only a certain proportion of the demand. Each demand point can be bought by the developer at a given price. An expropriation budget is given. Demand points closest to the facility are expropriated within the given budget. The objective is to maximize the distance to the closest point not expropriated. The problem is formulated and polynomial algorithms are proposed for its solution both on the plane and on a network.

Suggested Citation

  • O Berman & Z Drezner & G O Wesolowsky, 2003. "The expropriation location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 769-776, July.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:7:d:10.1057_palgrave.jors.2601548
    DOI: 10.1057/palgrave.jors.2601548
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    References listed on IDEAS

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    1. Erkut, Erhan & Neuman, Susan, 1989. "Analytical models for locating undesirable facilities," European Journal of Operational Research, Elsevier, vol. 40(3), pages 275-291, June.
    2. Berman, Oded & Drezner, Zvi, 2000. "A note on the location of an obnoxious facility on a network," European Journal of Operational Research, Elsevier, vol. 120(1), pages 215-217, January.
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    Citations

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    Cited by:

    1. Karatas, Mumtaz & Eriskin, Levent, 2021. "The minimal covering location and sizing problem in the presence of gradual cooperative coverage," European Journal of Operational Research, Elsevier, vol. 295(3), pages 838-856.
    2. O Berman & Q Wang, 2007. "Locating semi-obnoxious facilities with expropriation: minisum criterion," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 378-390, March.
    3. 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.
    4. Drezner, Zvi & Nickel, Stefan, 2009. "Solving the ordered one-median problem in the plane," European Journal of Operational Research, Elsevier, vol. 195(1), pages 46-61, May.
    5. Abravaya, Shimon & Segal, Michael, 2009. "Low complexity algorithms for optimal consumer push-pull partial covering in the plane," European Journal of Operational Research, Elsevier, vol. 197(2), pages 456-464, September.
    6. Abraham, Gyula & Dosa, Gyorgy & Hvattum, Lars Magnus & Olaj, Tomas Attila & Tuza, Zsolt, 2023. "The board packing problem," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1056-1073.

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