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A new approximation algorithm for the multilevel facility location problem
Authors:Adriana F. Gabor  Jan-Kees C.W. van Ommeren
Affiliation:a Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands
b Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
Abstract:In this paper we propose a new integer programming formulation for the multilevel facility location problem and a novel 3-approximation algorithm based on LP-rounding. The linear program that we use has a polynomial number of variables and constraints, thus being more efficient than the one commonly used in the approximation algorithms for these types of problems.
Keywords:Facility location   Approximation algorithms   Randomized algorithms
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