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Sensitivity Analysis in Minisum Facility Location Problems

Author

Listed:
  • Martine Labbé

    (Erasmus University, Rotterdam, The Netherlands)

  • Jacques-François Thisse

    (Catholic University of Louvain, Louvain-la-Neuve, Belgium)

  • Richard E. Wendell

    (University of Pittsburgh, Pittsburgh, Pennsylvania)

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.

Suggested Citation

  • Martine Labbé & Jacques-François Thisse & Richard E. Wendell, 1991. "Sensitivity Analysis in Minisum Facility Location Problems," Operations Research, INFORMS, vol. 39(6), pages 961-969, December.
    • Handle: RePEc:inm:oropre:v:39:y:1991:i:6:p:961-969
    DOI: 10.1287/opre.39.6.961
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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. 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.
    3. Igor Averbakh, 2005. "The Minmax Relative Regret Median Problem on Networks," INFORMS Journal on Computing, INFORMS, vol. 17(4), pages 451-461, November.
    4. 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.
    5. 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.
    6. 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.

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