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arXiv · 1905.00456

Discrete time stochastic and deterministic Petri box calculus

Igor V. Tarasyuk
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Abstract

We propose an extension with deterministically timed multiactions of discrete time stochastic and immediate Petri box calculus (dtsiPBC), previously presented by I.V. Tarasyuk, H. Maci\`a and V. Valero. In dtsdPBC, non-negative integers specify multiactions with fixed (including zero) time delays. The step operational semantics is constructed via labeled probabilistic transition systems. The denotational semantics is defined on the basis of a subclass of labeled discrete time stochastic Petri nets with deterministic transitions. The consistency of both semantics is demonstrated. In order to evaluate performance, the corresponding semi-Markov chains and (reduced) discrete time Markov chains are analyzed.

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Igor V. Tarasyuk. 2019-05-01. Discrete time stochastic and deterministic Petri box calculus. https://arxiv.org/abs/1905.00456

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