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Primal-dual approximation algorithms for metric facility location and k-median problems

, and . Foundations of Computer Science, 1999. 40th Annual Symposium on, page 2 -13. (1999)
DOI: 10.1109/SFFCS.1999.814571

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

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