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An approximation algorithm for soft capacitated k-facility location problem

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Abstract

We present a \((20+{5}/{n})\)-approximation algorithm for the non-uniform soft capacitated k-facility location problem, violating the capacitated constrains by no more than a factor of 25. The main technique is based on the primal–dual algorithm for the soft capacitated facility location problem, and the exploitation of the combinatorial structure of the fractional solution for the soft capacitated k-facility location problem.

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Acknowledgements

The research of the second author is supported by NSFC (No. 11531014). The third author’s research is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) Grant 283106. The fourth author’s research is supported by NSFC (No. 11501412). The fifth author’s research is supported by Higher Educational Science and Technology Program of Shandong Province (No. J15LN22).

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Authors and Affiliations

  1. Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People’s Republic of China

    Yanjun Jiang & Dachuan Xu

  2. Faculty of Business Administration, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada

    Donglei Du

  3. College of Science, Tianjin University of Technology, Tianjin, 300384, People’s Republic of China

    Chenchen Wu

  4. School of Computer Science and Technology, Shandong Jianzhu University, Jinan, 250101, People’s Republic of China

    Dongmei Zhang

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  1. Yanjun Jiang
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  2. Dachuan Xu
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  3. Donglei Du
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  4. Chenchen Wu
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  5. Dongmei Zhang
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Correspondence to Dongmei Zhang.

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Jiang, Y., Xu, D., Du, D. et al. An approximation algorithm for soft capacitated k-facility location problem. J Comb Optim 35, 493–511 (2018). https://doi.org/10.1007/s10878-017-0192-3

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  • DOI: https://doi.org/10.1007/s10878-017-0192-3

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