On the additive constant of the k-server Work Function Algorithm

  • Authors:
  • Yuval Emek;Pierre Fraigniaud;Amos Korman;Adi Rosén

  • Affiliations:
  • Microsoft Israel R&D Center, Herzelia, Israel and School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel;CNRS and University Paris Diderot, France;CNRS and University Paris Diderot, France;CNRS and University of Paris 11, France

  • Venue:
  • Information Processing Letters
  • Year:
  • 2010

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Abstract

We consider the Work Function Algorithm for the k-server problem (Chrobak and Larmore, 1991; Koutsoupias and Papadimitriou, 1995) [2,4]. We show that if the Work Function Algorithm is c-competitive, then it is also strictly(2c)-competitive. As a consequence of (Koutsoupias and Papadimitriou, 1995) [4] this also shows that the Work Function Algorithm is strictly (4k-2)-competitive.