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Dealing with arbitrary time distributions with the Stochastic Timed Petri Net model - Application to queueing systems.

Juanole, Guy; Atamna, Youcef

In: Proc. 4th Int. Workshop on Petri Nets and Performance Models (PNPM'91), Melbourne, Australia, pages 32-41. IEEE Comp. Soc. Press, December 1991.

Abstract: The ability of the Stochastic Timed Petri Net model for dealing with a great variety of firing time distributions is presented. The distributions can be: continuous (exponential or uniform); discrete (including the particular case of a deterministic distribution with a zero firing time (immediate transition) or a non zero firing time); mixed. This ability is based on a method of tractable computation whatever the distribution (in particular the difficult cases of the discrete and mixed distributions), for obtaining a randomized state graph (which represents the dynamic behaviour of the system being modelled). Applications to queueing systems are considered: the queue M/G/1; the queue M/G/1/K. A general method for analysing queueing systems, which is based on an interpretation of the randomized state graph, is presented.

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