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Efficient Location for a Semi-Obnoxious Facility

Author

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  • Yoshiaki Ohsawa
  • Kazuki Tamura

Abstract

This paper deals with a location model for the placement of a semi-obnoxious facility in a continuous plane with the twin objectives of maximizing the distance to the nearest inhabitant and minimizing the sum of distances to all the users (or the distance to the farthest user) in a unified manner. For special cases, this formulation includes (1) elliptic maximin and rectangular minisum criteria problem, and (2) rectangular maximin and minimax criteria problem. Polynomial-time algorithms for finding the efficient set and the tradeoff curve are presented. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Yoshiaki Ohsawa & Kazuki Tamura, 2003. "Efficient Location for a Semi-Obnoxious Facility," Annals of Operations Research, Springer, vol. 123(1), pages 173-188, October.
    • Handle: RePEc:spr:annopr:v:123:y:2003:i:1:p:173-188:10.1023/a:1026127430341
    DOI: 10.1023/A:1026127430341
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    Citations

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    Cited by:

    1. Heydari, Ruhollah & Melachrinoudis, Emanuel, 2012. "Location of a semi-obnoxious facility with elliptic maximin and network minisum objectives," European Journal of Operational Research, Elsevier, vol. 223(2), pages 452-460.
    2. 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.
    3. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    4. Yoshiaki Ohsawa & Naoya Ozaki & Frank Plastria, 2008. "Equity-Efficiency Bicriteria Location with Squared Euclidean Distances," Operations Research, INFORMS, vol. 56(1), pages 79-87, February.
    5. Colmenar, J. Manuel & Greistorfer, Peter & Martí, Rafael & Duarte, Abraham, 2016. "Advanced Greedy Randomized Adaptive Search Procedure for the Obnoxious p-Median problem," European Journal of Operational Research, Elsevier, vol. 252(2), pages 432-442.
    6. 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.

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