Uniform metrical task systems with a limited number of states

  • Authors:
  • Wolfgang Bein;Lawrence L. Larmore;John Noga

  • Affiliations:
  • Center for the Advanced Study of Algorithms, School of Computer Science, University of Nevada, Las Vegas, NV 89154, USA;Center for the Advanced Study of Algorithms, School of Computer Science, University of Nevada, Las Vegas, NV 89154, USA;Department of Computer Science, California State University, Northridge, CA 91330, USA

  • Venue:
  • Information Processing Letters
  • Year:
  • 2007

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Abstract

We give a randomized algorithm (the "Wedge Algorithm") of competitiveness for any metrical task system on a uniform space of k points, for any k≥2, where , 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