A new approximation algorithm for the k-facility location problem

被引:75
作者
Zhang, Peng
机构
[1] Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing 100080, Peoples R China
[2] Grad Univ Chinese Acad Sci, Beijing, Peoples R China
基金
中国国家自然科学基金;
关键词
facility location; k-median; local search; approximation algorithm;
D O I
10.1016/j.tcs.2007.05.024
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The k-facility location problem is a common generalization of the facility location and the k-median problems. For the metric uncapacitated k-facility location problem, we propose a polynomial-time 2 + root 3 + epsilon-approximation algorithm using the local search approach, which significantly improves the previously known approximation ratio 4, given by Jain et al. using the greedy method [K. Jain, M. Mahdian, E. Markakis, A. Saberi, V. Vazirani, Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP, Journal of the ACM 50 (2003) 795-824]. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:126 / 135
页数:10
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