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arXiv · 1410.4161

An improved approximation algorithm for k-median problem using a new factor-revealing LP

Chenchen Wu·Dachuan Xu·Donglei Du·Yishui Wang
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Abstract

The k-median problem is a well-known strongly NP-hard combinatorial optimization problem of both theoretical and practical significance. The previous best approximation ratio for this problem is 2.611+\epsilon (Bryka et al. 2014) based on an (1, 1.95238219) bi-factor approximation algorithm for the classical facility location problem (FLP). This work offers an improved algorithm with an approximation ratio 2.592 +\epsilon based on a new (1, 1.93910094) bi-factor approximation algorithm for the FLP.

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Chenchen Wu, Dachuan Xu, Donglei Du, Yishui Wang. 2014-10-15. An improved approximation algorithm for k-median problem using a new factor-revealing LP. https://arxiv.org/abs/1410.4161

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