An approximation algorithm for soft capacitated k-facility location problem

Yanjun Jiang (), Dachuan Xu (), Donglei Du (), Chenchen Wu () and Dongmei Zhang ()
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Yanjun Jiang: Beijing University of Technology
Dachuan Xu: Beijing University of Technology
Donglei Du: University of New Brunswick
Chenchen Wu: Tianjin University of Technology
Dongmei Zhang: Shandong Jianzhu University

Journal of Combinatorial Optimization, 2018, vol. 35, issue 2, No 13, 493-511

Abstract: Abstract We present a $$(20+{5}/{n})$$ ( 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.

Keywords: Approximation algorithm; Soft capacitated k-facility location problem; Primal–dual scheme (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-017-0192-3

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