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Sufficient Conditions for Coincidence in Minisum Multifacility Location Problems with a General Metric

Author

Listed:
  • O. Lefebvre

    (Université de Bourgogne, Dijon, France)

  • C. Michelot

    (Université de Bourgogne, Dijon, France)

  • F. Plastria

    (Vrije Universiteit Brussel, Brussels, Belgium)

Abstract

It is a well observed fact that in minisum multifacility location problems the optimal locations of several facilities often tend to coincide. Some sufficient conditions for this phenomenon, involving only the weights and applicable to any metric, have been published previously. The objective of this paper is to show how these conditions may be extended further and to obtain a more complete description of their implications, in particular, in the case of certain locational constraints.

Suggested Citation

  • O. Lefebvre & C. Michelot & F. Plastria, 1991. "Sufficient Conditions for Coincidence in Minisum Multifacility Location Problems with a General Metric," Operations Research, INFORMS, vol. 39(3), pages 437-442, June.
    • Handle: RePEc:inm:oropre:v:39:y:1991:i:3:p:437-442
    DOI: 10.1287/opre.39.3.437
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    Cited by:

    1. J. Fliege, 1997. "Nondifferentiability Detection and Dimensionality Reduction in Minisum Multifacility Location Problems," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 365-380, August.

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