Iterative convergence of passage-time densities in semi-Markov performance models

  • Authors:
  • Jeremy T. Bradley;Helen J. Wilson

  • Affiliations:
  • Department of Computing, Imperial College London, 180 Queen's Gate, London SW7 2BZ, UK;Department of Applied Mathematics, University of Leeds, Woodhouse Lane, Leeds LS2 9JT, UK

  • Venue:
  • Performance Evaluation - Performance modelling and evaluation of high-performance parallel and distributed systems
  • Year:
  • 2005

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Abstract

Passage-time densities are important for the detailed performance analysis of distributed computer and communicating systems. We provide a proof and demonstration of a practical iterative algorithm for extracting complete passage-time densities from expressive semi-Markov systems. We end by showing its application to a distributed web-server cluster model of 15.9 million states.