Article ID Journal Published Year Pages File Type
1143301 Operations Research Letters 2007 6 Pages PDF
Abstract

We consider the 1.521.52-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, 1.4631.463, by providing a construction of instances for which its approximation ratio is not better than 1.4941.494.

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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The approximation gap for the metric facility location problem is not yet closed
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