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Location of Multiple Obnoxious Facilities

Author

Listed:
  • Zvi Drezner

    (University of Michigan-Dearborn)

  • George O. Wesolowsky

    (McMaster University, Hamilton, Ontario)

Abstract

This problem deals with the location of facilities that are obnoxious in the sense that nearness of the facility to fixed points, which may represent population centers or other installations, is undesirable. Two model formulatons are given. In the first formulation we minimize the maximum weighted distance in the system subject to constraints which require that the distances between the facilities and fixed points must exceed specified values. In the second formulation, the smallest weighted “facility-to-fixed-point” distance in the system must be maximized, given that every fixed point must be within “reach” of the closest facility. Certain useful duality relationships are established between these problems. A one-dimensional problem is solved using an algorithm that incorporates a version of the set covering problem.

Suggested Citation

  • Zvi Drezner & George O. Wesolowsky, 1985. "Location of Multiple Obnoxious Facilities," Transportation Science, INFORMS, vol. 19(3), pages 193-202, August.
    • Handle: RePEc:inm:ortrsc:v:19:y:1985:i:3:p:193-202
    DOI: 10.1287/trsc.19.3.193
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    Citations

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    Cited by:

    1. A. Jourani & C. Michelot & M. Ndiaye, 2009. "Efficiency for continuous facility location problems with attraction and repulsion," Annals of Operations Research, Springer, vol. 167(1), pages 43-60, March.
    2. Welch, S. B. & Salhi, S., 1997. "The obnoxious p facility network location problem with facility interaction," European Journal of Operational Research, Elsevier, vol. 102(2), pages 302-319, October.
    3. Jardon Carlos & Molodchik A. Mariya, 2015. "Endowment of Intangible Resources and Phases of Internationalization in Emerging Economies. The Case of Russia," HSE Working papers WP BRP 22/IR/2015, National Research University Higher School of Economics.
    4. 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.
    5. Drezner, Zvi & Kalczynski, Pawel & Salhi, Said, 2019. "The planar multiple obnoxious facilities location problem: A Voronoi based heuristic," Omega, Elsevier, vol. 87(C), pages 105-116.

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