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An approximation algorithm for the dynamic facility location problem with outliers

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Abstract

In this article, we investigate the dynamic (multi-period) facility location problem with potentially unserved clients or outliers. We propose a 3-approximation primal-dual algorithm based on an integer linear program formulation of the problem. We further improve the approximation ratio to 2 by combining the cost scaling and greedy improvement techniques.

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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.

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

    Dongmei Zhang

Authors
  1. Yanjun Jiang
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  2. Dachuan Xu
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  3. Donglei Du
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  4. Dongmei Zhang
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Corresponding author

Correspondence to Dongmei Zhang.

Additional information

This paper has been presented in the 10th International Conference on Optimization Techniques and Applications (ICOTA 10).

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Jiang, Y., Xu, D., Du, D. et al. An approximation algorithm for the dynamic facility location problem with outliers. Optim Lett 13, 561–571 (2019). https://doi.org/10.1007/s11590-017-1153-6

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  • DOI: https://doi.org/10.1007/s11590-017-1153-6

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