A primal-dual approximation algorithm for the k-level stochastic facility location problem

Authors:
Zhen Wang;Donglei Du;Dachuan Xu
Affiliations:
Department of Applied Mathematics, Beijing University of Technology, Beijing, P.R. China;Faculty of Business Administration, University of New Brunswick, Fredericton, NB, Canada;Department of Applied Mathematics, Beijing University of Technology, Beijing, P.R. China
Venue:
AAIM'10 Proceedings of the 6th international conference on Algorithmic aspects in information and management
Year:
2010

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Abstract

We present a combinatorial primal-dual 7-approximation algorithm for the k-level stochastic facility location problem, the stochastic counterpart of the standard k-level facility location problem. This approximation ratio is slightly worse than that of the primal-dual 6- approximation for the standard k-level facility location problem [3] because of the extra stochastic assumption. This new result complements the recent non-combinatorial 3-approximation algorithm for the same problem by Wang et al [21].