A Polylogarithmic-Competitive Algorithm for the k-Server Problem

N. Bansal, Niv Buchbinder, A. Madry, J. Naor
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引用次数: 135

Abstract

We give the first polylogarithmic-competitive randomized algorithm for the k-server problem on an arbitrary finite metric space. In particular, our algorithm achieves a competitive ratio of Õ(log3 n log2 k) for any metric space on n points. This improves upon the (2k-1)-competitive algorithm of Koutsoupias and Papadimitriou (J. ACM 1995) whenever n is sub-exponential in k.
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k-Server问题的多对数竞争算法
给出了任意有限度量空间上k-server问题的第一个多对数竞争随机化算法。特别是,我们的算法在n个点的任何度量空间中实现了Õ(log3 n log2 k)的竞争比。这改进了Koutsoupias和Papadimitriou (J. ACM 1995)的(2k-1)竞争算法,当n是k的次指数时。
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