Anapproximation algorithm for the $k$-level facility location problemwith submodular penalties

Gaidi Li; Zhen Wang; Dachuan Xu

doi:10.3934/jimo.2012.8.521

Article Contents

2012, Volume 8, Issue 3: 521-529. Doi: 10.3934/jimo.2012.8.521

This issue Previous Article Next Article Optimal investment with a value-at-risk constraint

An approximation algorithm for the $k$-level facility location problem with submodular penalties

1.
Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing 100124
2.
Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124

Received: March 31, 2010

Revised: June 30, 2011

Published: June 2012

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Abstract

In this paper, we consider the $k$-level facility location problem with submodular penalties ($k$-FLPSP). We propose a primal-dual $6$-approximation (combinatorial) algorithm for the $k$-FLPSP.

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Mathematics Subject Classification: Primary: 90C59; Secondary: 90C10.

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References

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