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The Computer Journal 1995 38(7):552-565; doi:10.1093/comjnl/38.7.552
© 1995 by British Computer Society
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A Stochastic Causality-Based Process Algebra

E. Brinksma1, J.-P. Katoen1, R. Langerak1 and D. Latella2 *

1 Department of Computing Science, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands, 2 CNUCE Istituto del CNR, Via Santa Maria 36, 56100 Pisa, Italy. Email: brinskma{at}cs.utwente.nl, katoen{at}cs.utwente.nl, langerak{at}cs.utwente.nl; d.latella{at}cnuce.cnr.it

This paper discusses stochastic extensions of a simple process algebra in a causality-based setting. Atomic actions are supposed to happen after a delay that is determined by a stochastic variable with a certain distribution. A simple stochastic type of event structures is discussed, restricting the distribution functions to be exponential. A corresponding operational semantics of this model is given and compared to existing (interleaved) approaches. Secondly, a stochastic variant of event structures is discussed where distributions are of a much more general nature, viz. of phase-type. This includes exponential, Erlang, Coxian and mixtures of exponential distributions.


* CNUCE Istituto del CNR, Via Santa Maria 36, 56100 Pisa, Italy Email: brinskma{at}cs.utwente.nl, katoen{at}cs.utwente.nl, langerak{at}cs.utwente.nl; d.latella{at}cnuce.cnr.it

§ Department of Computing Science, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands


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