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A local search approximation algorithm for the uniform capacitated k-facility location problem

Author

Listed:
  • Lu Han

    (Beijing University of Technology)

  • Dachuan Xu

    (Beijing University of Technology)

  • Donglei Du

    (University of New Brunswick)

  • Dongmei Zhang

    (Shandong Jianzhu University)

Abstract

In the uniform capacitated k-facility location problem (UC-k-FLP), we are given a set of facilities and a set of clients. Every client has a demand. Every facility have an opening cost and an uniform capacity. For each client–facility pair, there is an unit service cost to serve the client with unit demand by the facility. The total demands served by a facility cannot exceed the uniform capacity. We want to open at most k facilities to serve all the demands of the clients without violating the capacity constraint such that the total opening and serving cost is minimized. The main contribution of this work is to present the first combinatorial bi-criteria approximation algorithm for the UC-k-FLP by violating the cardinality constraint.

Suggested Citation

  • Lu Han & Dachuan Xu & Donglei Du & Dongmei Zhang, 2018. "A local search approximation algorithm for the uniform capacitated k-facility location problem," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 409-423, February.
    • Handle: RePEc:spr:jcomop:v:35:y:2018:i:2:d:10.1007_s10878-017-0179-0
    DOI: 10.1007/s10878-017-0179-0
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    References listed on IDEAS

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    Cited by:

    1. Chenchen Wu & Donglei Du & Yue Kang, 2022. "An approximation algorithm for stochastic multi-level facility location problem with soft capacities," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1680-1692, October.
    2. Min Li, 2022. "The bi-criteria seeding algorithms for two variants of k-means problem," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1693-1704, October.
    3. Chenchen Wu & Donglei Du & Yue Kang, 0. "An approximation algorithm for stochastic multi-level facility location problem with soft capacities," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-13.

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