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Marginal analysis for the fuzzy p-median problem

Author

Listed:
  • Canós, M.J.
  • Ivorra, C.
  • Liern, V.

Abstract

The solutions to the fuzzy p-median problem make it possible to leave part of the demand uncovered in order to obtain significant reductions in costs. Moreover, the fuzzy formulation provides the decision-maker with many flexible solutions that he or she may prefer to the classical crisp solution. We introduce some marginal analysis techniques to study how solutions depend on membership functions. Taking into account the internal structure of the problem, we propose a practical criterion to fix the tolerances for the uncovered demand, which happens to be the most sensitive aspect of the fuzzy p-median.

Suggested Citation

  • Canós, M.J. & Ivorra, C. & Liern, V., 2008. "Marginal analysis for the fuzzy p-median problem," European Journal of Operational Research, Elsevier, vol. 191(1), pages 264-271, November.
    • Handle: RePEc:eee:ejores:v:191:y:2008:i:1:p:264-271
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    References listed on IDEAS

    as
    1. Canos, M. J. & Ivorra, C. & Liern, V., 2001. "The fuzzy p-median problem: A global analysis of the solutions," European Journal of Operational Research, Elsevier, vol. 130(2), pages 430-436, April.
    2. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    3. Canos, M. J. & Ivorra, C. & Liern, V., 1999. "An exact algorithm for the fuzzy p-median problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 80-86, July.
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