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The Big Triangle Small Triangle Method for the Solution of Nonconvex Facility Location Problems

Author

Listed:
  • Zvi Drezner

    (California State University-Fullerton, Fullerton, California 92834)

  • Atsuo Suzuki

    (Nanzan University, Seto-shi 489-0863, Japan)

Abstract

In this paper we propose to modify the big square small square global optimization search in the plane with a big triangle small triangle approach. The triangulation of the feasible region is obtained by using Voronoi diagrams. The resulting algorithm was tested on the obnoxious facility location and the attraction-repulsion Weber problems with excellent results.

Suggested Citation

  • Zvi Drezner & Atsuo Suzuki, 2004. "The Big Triangle Small Triangle Method for the Solution of Nonconvex Facility Location Problems," Operations Research, INFORMS, vol. 52(1), pages 128-135, February.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:1:p:128-135
    DOI: 10.1287/opre.1030.0077
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    References listed on IDEAS

    as
    1. Emilio Carrizosa & Frank Plastria, 1998. "Locating an Undesirable Facility by Generalized Cutting Planes," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 680-694, August.
    2. Erkut, Erhan & Neuman, Susan, 1989. "Analytical models for locating undesirable facilities," European Journal of Operational Research, Elsevier, vol. 40(3), pages 275-291, June.
    3. O Berman & Z Drezner & G O Wesolowsky, 2000. "Routing and location on a network with hazardous threats," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(9), pages 1093-1099, September.
    4. Plastria, Frank, 1992. "GBSSS: The generalized big square small square method for planar single-facility location," European Journal of Operational Research, Elsevier, vol. 62(2), pages 163-174, October.
    5. Oded Berman & Jiamin Wang & Zvi Drezner & George Wesolowsky, 2003. "A Probabilistic Minimax Location Problem on the Plane," Annals of Operations Research, Springer, vol. 122(1), pages 59-70, September.
    Full references (including those not matched with items on IDEAS)

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