Analysis of Quorum-Based Protocols for Distributed (k + 1)-Exclusion

  • Authors:
  • Divyakant Agrawal;Ömer Eğecioǧlu;Amr El Abbadi

  • Affiliations:
  • Univ. of California, Santa Barbara;Univ. of California, Santa Barbara;Univ. of California, Santa Barbara

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1997

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Abstract

A generalization of the majority quorum for the solution of the distributed (k + 1)-exclusion problem is proposed. This scheme produces a family of quorums of varying sizes and availabilities indexed by integral divisors r of k. The cases r = 1 and r = k correspond to known majority based quorum generation algorithms MAJ and DIV, whereas intermediate values of r interpolate between these two extremes. A cost and availability analysis of the proposed methods is also presented. An interesting implication of this analysis is that in a reasonably reliable environment with a large number of sites, even protocols with low communication costs attain high availability.