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Sensitivity Analysis to the Value of p of the ℓ p Distance Weber Problem

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  • Zvi Drezner
  • George Wesolowsky

Abstract

In this paper we analyze the sensitivity of the ℓ p distance Weber problem to the value of p. We consider each power p to be in a range and not necessarily the same for each demand point. We find the set of possible optimal locations when p is in a given range. We also find the location that minimizes the expected cost, and find the Expected Value of Perfect Information. Computational results are presented. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Zvi Drezner & George Wesolowsky, 2002. "Sensitivity Analysis to the Value of p of the ℓ p Distance Weber Problem," Annals of Operations Research, Springer, vol. 111(1), pages 135-150, March.
  • Handle: RePEc:spr:annopr:v:111:y:2002:i:1:p:135-150:10.1023/a:1020949602625
    DOI: 10.1023/A:1020949602625
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    Cited by:

    1. Didier Josselin & Marc Ciligot-Travain, 2013. "Revisiting the Optimal Center Location. A Spatial Thinking Based on Robustness, Sensitivity, and Influence Analysis," Environment and Planning B, , vol. 40(5), pages 923-941, October.

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