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Immediate Events in Markov Chains

In: Computations with Markov Chains

Author

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  • Winfried K. Grassmann

    (University of Saskatchewan, Department of Computational Science)

  • Yuru Wang

    (University of Saskatchewan, Department of Computational Science)

Abstract

Immediate events are events which happen without delay. There are several contexts in which immediate events occur. In particular, they are important for formulating Markovian systems efficiently, they are an integral part of generalised stochastic Petri nets, and they are useful for analysing processes which have different time scales. These applications are reviewed, and a unified theory for finding equilibrium probabilities for such processes is developed. This theory is based on the GTH algorithm, which is augmented by a special algebra.

Suggested Citation

  • Winfried K. Grassmann & Yuru Wang, 1995. "Immediate Events in Markov Chains," Springer Books, in: William J. Stewart (ed.), Computations with Markov Chains, chapter 11, pages 163-176, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-2241-6_11
    DOI: 10.1007/978-1-4615-2241-6_11
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