Elsevier

Information Processing Letters

Volume 104, Issue 4, 15 November 2007, Pages 123-128
Information Processing Letters

Uniform metrical task systems with a limited number of states

https://doi.org/10.1016/j.ipl.2007.06.001Get rights and content

Abstract

We give a randomized algorithm (the “Wedge Algorithm”) of competitiveness 32Hk12k for any metrical task system on a uniform space of k points, for any k2, where Hk=i=1k1i, the kth harmonic number. This algorithm has better competitiveness than the Irani–Seiden algorithm if k is smaller than 108. The algorithm is better by a factor of 2 if k<47.

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Cited by (3)

Research of these authors supported by NSF grant CCR-0312093.

1

Wolfgang Bein prepared this journal version while on sabbatical as Kyoto University Visiting Professor and while at the University of the Federal Armed Forces Munich under a Lehrauftrag.

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