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Approximation Algorithms for Bounded Facility Location Problems

Author

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  • Piotr Krysta

    (Max-Planck-Institut für Informatik)

  • Roberto Solis-Oba

    (Max-Planck-Institut für Informatik)

Abstract

The bounded k-median problem is to select in an undirected graph G = (V,E) a set S of k vertices such that the distance from any vertex v ∈ V to S is at most a given bound d and the average distance from vertices V\S to S is minimized. We present randomized algorithms for several versions of this problem and we prove some inapproximability results. We also study the bounded version of the uncapacitated facility location problem and present extensions of known deterministic algorithms for the unbounded version.

Suggested Citation

  • Piotr Krysta & Roberto Solis-Oba, 2001. "Approximation Algorithms for Bounded Facility Location Problems," Journal of Combinatorial Optimization, Springer, vol. 5(2), pages 233-247, June.
    • Handle: RePEc:spr:jcomop:v:5:y:2001:i:2:d:10.1023_a:1011465419252
    DOI: 10.1023/A:1011465419252
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    References listed on IDEAS

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    1. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
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    Cited by:

    1. Weng Kerui, 2013. "Approximation algorithm for uniform bounded facility location problem," Journal of Combinatorial Optimization, Springer, vol. 26(2), pages 284-291, August.

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