Message Complexity of the Tree Quorum Algorithm

  • Authors:
  • Shyan-Ming Yuan;Her-Kun Chang

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1995

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Abstract

The tree quorum algorithm (TQA) uses a tree structure to generate intersecting (tree) quorums for distributed mutual exclusion. This paper analyzes the number of messages required to acquire a quorum in TQA. Let i be the depth of the complete binary tree used in TQA, and let Mi be the number of messages required to acquire a quorum or to determine that no quorum is accessible. We discuss Mi as a function of i and p, where $p\left({1\over 2}