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Distributed computation of passage time quantiles and transient state distributions in large semi-Markov models

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4 Author(s)
Bradley, J.T. ; Dept. of Comput., Imperial Coll. of Sci., Technol. & Med., London, UK ; Dingle, N.J. ; Harrison, P.G. ; Knottenbelt, W.J.

Semi-Markov processes (SMPs) are expressive tools for modelling concurrent systems; they are a generalisation of Markov processes that allow for arbitrarily distributed sojourn times. The paper presents an iterative technique for passage time and transient analysis of large structurally unrestricted semi-Markov processes. Our method is based on the calculation and subsequent numerical inversion of Laplace transforms and is amenable to a highly scalable distributed implementation. Results for a distributed voting system model with up to 1.1 million states are presented and compared against simulation.

Published in:

Parallel and Distributed Processing Symposium, 2003. Proceedings. International

Date of Conference:

22-26 April 2003