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 we are using has a polynomial number of variables and constraints, being thus more efficient than the one commonly used in the approximation algorithms for this type of problems. Key words: facility location, approximation algorithms, randomized algorithms
Adriana Felicia Gabor, Jan-Kees C. W. van Ommeren