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DAM
2010
120views more  DAM 2010»
13 years 4 months ago
A new approximation algorithm for the multilevel facility location problem
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 ...
Adriana Felicia Gabor, Jan-Kees C. W. van Ommeren
AAIM
2006
Springer
110views Algorithms» more  AAIM 2006»
13 years 10 months ago
Non-metric Multicommodity and Multilevel Facility Location
Abstract. We give logarithmic approximation algorithms for the nonmetric uncapacitated multicommodity and multilevel facility location problems. The former algorithms are optimal u...
Rudolf Fleischer, Jian Li, Shijun Tian, Hong Zhu
TALG
2010
109views more  TALG 2010»
13 years 3 months ago
Facility location with hierarchical facility costs
We introduce a facility location problem with submodular facility cost functions, and give an O(log n) approximation algorithm for it. Then we focus on a special case of submodula...
Zoya Svitkina, Éva Tardos
SODA
2004
ACM
146views Algorithms» more  SODA 2004»
13 years 6 months ago
Approximating the two-level facility location problem via a quasi-greedy approach
We propose a quasi-greedy algorithm for approximating the classical uncapacitated 2-level facility location problem (2-LFLP). Our algorithm, unlike the standard greedy algorithm, ...
Jiawei Zhang
SODA
2008
ACM
131views Algorithms» more  SODA 2008»
13 years 6 months ago
Approximating connected facility location problems via random facility sampling and core detouring
We present a simple randomized algorithmic framework for connected facility location problems. The basic idea is as follows: We run a black-box approximation algorithm for the unc...
Friedrich Eisenbrand, Fabrizio Grandoni, Thomas Ro...