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A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties

Author

Listed:
  • Yu Li

    (Beijing Jiaotong University)

  • Donglei Du

    (University of New Brunswick)

  • Naihua Xiu

    (Beijing Jiaotong University)

  • Dachuan Xu

    (Beijing University of Technology)

Abstract

In this paper, we study two variants of the classical facility location problem, namely, the facility location problem with linear penalties (FLPLP) and the facility location problem with submodular penalties (FLPSP), respectively. We give a unified dual-fitting based approximation algorithm for these two problems, yielding approximation ratios 2 and 3 respectively.

Suggested Citation

  • Yu Li & Donglei Du & Naihua Xiu & Dachuan Xu, 2014. "A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 609-620, April.
    • Handle: RePEc:spr:jcomop:v:27:y:2014:i:3:d:10.1007_s10878-012-9540-5
    DOI: 10.1007/s10878-012-9540-5
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    Cited by:

    1. Shaojing Du & Suogang Gao & Bo Hou & Wen Liu, 2020. "An approximation algorithm for submodular hitting set problem with linear penalties," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1065-1074, November.

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