Improved Approximation Algorithms for Metric Facility Location Problems

In this paper we present a 1.52-approximation algorithm for the uncapacitated metric facility location problem. This algorithm uses an idea of cost scaling, a greedy algorithm of Jain, Mahdian and Saberi, and a greedy augmentation procedure of Charikar, Guha and Khuller. We also present a 2.89-approximation for the capacitated metric facility location problem with soft capacities.

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