A new approximation algorithm for the multilevel facility location problem
Discrete Applied Mathematics , Volume 158 - Issue 5 p. 453- 460
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.
|Approximation algorithms, Facility location, Randomized algorithms|
|Econometric Institute Reprint Series|
|Discrete Applied Mathematics|
|Organisation||Erasmus Research Institute of Management|
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