A Self-stabilizing Token-Based k-out-of-l Exclusion Algorithm

  • Authors:
  • Ajoy Kumar Datta;Rachid Hadid;Vincent Villain

  • Affiliations:
  • -;-;-

  • Venue:
  • Euro-Par '02 Proceedings of the 8th International Euro-Par Conference on Parallel Processing
  • Year:
  • 2002

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Abstract

In this paper, we present the first self-stabilizing solution to the k out of l exclusion problem [14] on a ring. The k out of l exclusion problem is a generalization of the well-known mutual exclusion problem -- there are l units of the shared resources, any process can request some number k (1 驴 k 驴 l) of units of the shared resources, and no resource unit is allocated to more than one process at one time. The space requirement of the proposed algorithm is independent of l for all processors except a special processor, called Root. The stabilization time of the algorithm is only 5n, where n is the size of the ring.