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Sensitivity analysis in minisum facility location problems

Author

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  • LABBE, Martine
  • THISSE, Jacques-François
  • WENDELL, Richard E.

Abstract

This paper considers tradeoffs between cost and perturbations of the weights in a single facility, minisum location problem over a finite set of feasible points. Specifically, the paper characterizes a tradeoff curve of variability in the weights versus the degree of optimality of a solution. The general theoretical framework includes problems of location on a tree network and location using block norms; special results are given for these cases.
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(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • LABBE, Martine & THISSE, Jacques-François & WENDELL, Richard E., 1991. "Sensitivity analysis in minisum facility location problems," LIDAM Reprints CORE 971, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:971
    DOI: 10.1287/opre.39.6.961
    Note: In : Operations Research, 39(6), 961-969, 1991
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    Cited by:

    1. Igor Averbakh & Oded Berman, 2000. "Minmax Regret Median Location on a Network Under Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 104-110, May.
    2. George L. Vairaktarakis & Panagiotis Kouvelis, 1999. "Incorporation dynamic aspects and uncertainty in 1‐median location problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(2), pages 147-168, March.
    3. Averbakh, Igor & Berman, Oded, 2000. "Algorithms for the robust 1-center problem on a tree," European Journal of Operational Research, Elsevier, vol. 123(2), pages 292-302, June.
    4. Igor Averbakh, 2005. "The Minmax Relative Regret Median Problem on Networks," INFORMS Journal on Computing, INFORMS, vol. 17(4), pages 451-461, November.
    5. Soumen Kumar Das & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2020. "Heuristic approaches for solid transportation-p-facility location problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(3), pages 939-961, September.
    6. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.

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