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Sensitivity analysis of the optimal location of a facility

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  • Zvi Drezner

Abstract

We perform a sensitivity analysis of the Euclidean, single‐facility minisum problem, which is also known as the Weber problem. We find the sensitivity of the optimal site of the new facility to changes in the locations and weights of the demand points. We apply these results to get the optimal site if some of the parameters in the problem are changed. We also get approximate formulas for the set of all possible optimal sites if demand points are restricted to given areas, and weights must be within given ranges, which is a location problem under conditions of uncertainty.

Suggested Citation

  • Zvi Drezner, 1985. "Sensitivity analysis of the optimal location of a facility," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(2), pages 209-224, May.
  • Handle: RePEc:wly:navlog:v:32:y:1985:i:2:p:209-224
    DOI: 10.1002/nav.3800320203
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    Cited by:

    1. Daouia, Abdelaati & Van Keilegom, Ingrid, 2015. "A random locational M-estimation problem based on the L2-Wasserstein distance," LIDAM Discussion Papers ISBA 2015017, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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