We present approximation algorithms for the metric uncapacitated facility location problem and the metric k-median problem achieving guarantees of 3 and 6 respectively. The distinguishing feature of our algorithms is their low running time: O(m log m) and O(m log m(L+log(n))) respectively, where n and m are the total number of vertices and edges in the underlying graph. The main algorithmic idea is a new extension of the primal-dual schema
%0 Conference Paper
%1 814571
%A Jain, K.
%A Vazirani, V.V.
%B Foundations of Computer Science, 1999. 40th Annual Symposium on
%D 1999
%K facility.location linear_programming primal-dual
%P 2 -13
%R 10.1109/SFFCS.1999.814571
%T Primal-dual approximation algorithms for metric facility location and k-median problems
%X We present approximation algorithms for the metric uncapacitated facility location problem and the metric k-median problem achieving guarantees of 3 and 6 respectively. The distinguishing feature of our algorithms is their low running time: O(m log m) and O(m log m(L+log(n))) respectively, where n and m are the total number of vertices and edges in the underlying graph. The main algorithmic idea is a new extension of the primal-dual schema
@inproceedings{814571,
abstract = {We present approximation algorithms for the metric uncapacitated facility location problem and the metric k-median problem achieving guarantees of 3 and 6 respectively. The distinguishing feature of our algorithms is their low running time: O(m log m) and O(m log m(L+log(n))) respectively, where n and m are the total number of vertices and edges in the underlying graph. The main algorithmic idea is a new extension of the primal-dual schema},
added-at = {2013-01-08T19:26:15.000+0100},
author = {Jain, K. and Vazirani, V.V.},
biburl = {https://www.bibsonomy.org/bibtex/26ffcf950abf42b41e4b20225c9b4eb0b/ytyoun},
booktitle = {Foundations of Computer Science, 1999. 40th Annual Symposium on},
doi = {10.1109/SFFCS.1999.814571},
interhash = {4dc7a36fb5740f359441570fc51dc82e},
intrahash = {6ffcf950abf42b41e4b20225c9b4eb0b},
issn = {0272-5428},
keywords = {facility.location linear_programming primal-dual},
pages = {2 -13},
timestamp = {2013-01-08T19:26:16.000+0100},
title = {Primal-dual approximation algorithms for metric facility location and k-median problems},
year = 1999
}