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Analysis of distributed algorithms based on recurrence relations

Preliminary version
  • Yossi Malka
  • Sergio Rajsbaum
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 579)

Abstract

Recurrence relations of a certain type and their connection to Marked Graphs are studied. We show that these recurrence relations provide a paradigm which unifies distributed algorithms like synchronizers and distributed schedulers under a common formalism. This paradigm provides a technique for studying the properties of these algorithms when they are used in networks where link delays are not necessarily equal. We use the paradigm to analyze the performance of these algorithms. In particular it is shown that the behavior of algorithms which can be described by the recurrence relations is periodic after a short transitory phase and that the rate of computation can be computed efficiently.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Yossi Malka
    • 1
  • Sergio Rajsbaum
    • 2
  1. 1.IBM Science & TechnologyTechnion CityHaifaIsrael
  2. 2.Instituto de MatemáticasU.N.A.M.México

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