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A Probabilistic Minimax Location Problem on the Plane

Author

Listed:
  • Oded Berman
  • Jiamin Wang
  • Zvi Drezner
  • George Wesolowsky

Abstract

In this paper we consider the weighted minimax (1-center) location problem in the plane when the weights are not given but rather drawn from independent uniform distributions. The problem is formulated and analyzed. For certain parameters of the uniform distributions the objective function is proven to be convex and thus can be easily solved by standard software such as the Solver in Excel. Computational experience is reported. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:122:y:2003:i:1:p:59-70:10.1023/a:1026134121255
    DOI: 10.1023/A:1026134121255
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    Citations

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    Cited by:

    1. Fusheng Wang, 2013. "A hybrid algorithm for linearly constrained minimax problems," Annals of Operations Research, Springer, vol. 206(1), pages 501-525, July.
    2. Dongyan Chen & Chan He & Senlin Wu, 2016. "Single facility collection depots location problem with random weights," Operational Research, Springer, vol. 16(2), pages 287-299, July.
    3. 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.
    4. Kena Zhao & Tsan Sheng Adam Ng & Xiao Liu, 2020. "A guarantee rate optimization model for wastewater treatment system design under uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 420-437, September.

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