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An approximation algorithm for the k-level capacitated facility location problem

Author

Listed:
  • Donglei Du

    (University of New Brunswick)

  • Xing Wang

    (Beijing University of Technology)

  • Dachuan Xu

    (Beijing University of Technology)

Abstract

We consider the k-level capacitated facility location problem (k-CFLP), which is a natural variant of the classical facility location problem and has applications in supply chain management. We obtain the first (combinatorial) approximation algorithm with a performance factor of $k+2+\sqrt{k^{2}+2k+5}+\varepsilon$ (ε>0) for this problem.

Suggested Citation

  • Donglei Du & Xing Wang & Dachuan Xu, 2010. "An approximation algorithm for the k-level capacitated facility location problem," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 361-368, November.
    • Handle: RePEc:spr:jcomop:v:20:y:2010:i:4:d:10.1007_s10878-009-9213-1
    DOI: 10.1007/s10878-009-9213-1
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    References listed on IDEAS

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    1. Jiawei Zhang & Bo Chen & Yinyu Ye, 2005. "A Multiexchange Local Search Algorithm for the Capacitated Facility Location Problem," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 389-403, May.
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    Cited by:

    1. Shu, Jia & Li, Zhengyi & Shen, Houcai & Wu, Ting & Zhong, Weijun, 2012. "A logistics network design model with vendor managed inventory," International Journal of Production Economics, Elsevier, vol. 135(2), pages 754-761.
    2. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    3. Lucas P. Melo & Flávio K. Miyazawa & Lehilton L. C. Pedrosa & Rafael C. S. Schouery, 2017. "Approximation algorithms for k-level stochastic facility location problems," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 266-278, July.

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