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.

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Keywords Approximation algorithms, Facility location, Randomized algorithms
Persistent URL,
Series Econometric Institute Reprint Series
Journal Discrete Applied Mathematics
Gabor, A.F, & van Ommeren, J.C.W. (2010). A new approximation algorithm for the multilevel facility location problem. Discrete Applied Mathematics, 158(5), 453–460. doi:10.1016/j.dam.2009.11.007