Approximation algorithms for facility location problems (extended abstract)
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An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
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Journal of Combinatorial Optimization
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We consider the 1.52-approximation algorithm of Mahdian et al. for the metric uncapacitated facility location problem. We show that their algorithm does not close the gap with the lower bound on approximability, 1.463, by providing a construction of instances for which its approximation ratio is not better than 1.494.