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Approximating soft-capacitated facility location problem with uncertainty

Author

Listed:
  • Shuxin Cai

    (Graduate University of Chinese Academy of Sciences)

  • Wenguo Yang

    (Graduate University of Chinese Academy of Sciences)

  • Yaohua Tang

    (Graduate University of Chinese Academy of Sciences)

Abstract

In this paper we devise the stochastic and robust approaches to study the soft-capacitated facility location problem with uncertainty. We first present a new stochastic soft-capacitated model called The 2-Stage Soft Capacitated Facility Location Problem and solve it via an approximation algorithm by reducing it to linear-cost version of 2-stage facility location problem and dynamic facility location problem. We then present a novel robust model of soft-capacitated facility location, The Robust Soft Capacitated Facility Location Problem. To solve it, we improve the approximation algorithm proposed by Byrka et al. (LP-rounding algorithms for facility-location problems. CoRR, 2010a) for RFTFL and then treat it similarly as in the stochastic case. The improvement results in an approximation factor of $$\alpha + 4$$ for the robust fault-tolerant facility location problem, which is best so far.

Suggested Citation

  • Shuxin Cai & Wenguo Yang & Yaohua Tang, 2014. "Approximating soft-capacitated facility location problem with uncertainty," Journal of Combinatorial Optimization, Springer, vol. 28(2), pages 496-504, August.
    • Handle: RePEc:spr:jcomop:v:28:y:2014:i:2:d:10.1007_s10878-012-9573-9
    DOI: 10.1007/s10878-012-9573-9
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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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