Generosity helps, or an 11–competitive algorithm for three servers

  • Authors:
  • Marek Chrobak;Lawrence L. Larmore

  • Affiliations:
  • -;-

  • Venue:
  • SODA '92 Proceedings of the third annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 1992

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Abstract

We propose a new algorithm called Equipoise for the k-server problem, and we prove that it is 2-competitive for two servers and 11-competitive for three servers. For k=3, this is a tremendous improvement over previously known constants. The algorithm uses several techniques for designing on-line algorithms - convex hulls, work functions and forgiveness.The results presented in this paper were earlier announced at the DIMACS Workshop on On-Line Algorithms [8].