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The Euclidean Multifacility Location Problem

Author

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  • Francisc Radó

    (University of Cluj-Napoca, Romania)

Abstract

To solve the Euclidean multifacility location problem, W. Miehle extended the Weiszfeld algorithm from one to several facilities. L. M. Ostresh established that the objective function for the iterates of Miehle's algorithm decreases in value, but his results do not give a convergence proof. In this paper we give a new extension of the Weiszfeld algorithm and by generalizing the Kuhn-Ostresh convergence theorem, prove separate results for convergence and for optimality, both under mild hypotheses.

Suggested Citation

  • Francisc Radó, 1988. "The Euclidean Multifacility Location Problem," Operations Research, INFORMS, vol. 36(3), pages 485-492, June.
    • Handle: RePEc:inm:oropre:v:36:y:1988:i:3:p:485-492
    DOI: 10.1287/opre.36.3.485
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    Cited by:

    1. Jianlin Jiang & Xiaoming Yuan, 2012. "A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand," Computational Optimization and Applications, Springer, vol. 51(3), pages 1275-1295, April.

    More about this item

    Keywords

    185 Euclidean multifacility location;

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