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

Yu Li (), Donglei Du (), Naihua Xiu () and Dachuan Xu ()
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Yu Li: Beijing Jiaotong University
Donglei Du: University of New Brunswick
Naihua Xiu: Beijing Jiaotong University
Dachuan Xu: Beijing University of Technology

Journal of Combinatorial Optimization, 2014, vol. 27, issue 3, No 15, 609-620

Abstract: 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.

Keywords: Approximation algorithm; Facility location problem; Linear programming; Submodular function (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-012-9540-5

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