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Discrete Time Deterministic and Stochastic Petri Nets

In: Quality of Communication-Based Systems

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  • Robert Zijal

    (Technische Universität Berlin, Institut für Technische Informatik, Fachgebiet Prozeßdatenverarbeitung und Robotik, (Real-Time Systems and Robotics))

Abstract

This paper presents a new approach to stochastic Petri nets (SPNs) with a discrete time scale. SPNs are considered in which the timed transitions may fire after a constant delay (deterministic transi-tions) or after a geometrically distributed delay (geometric transitions). Since a discrete time scale is used, deterministic and geometric tran-sitions can be mixed without structural restrictions. Therefore this ap-proach overcomes the drawback of the class of deterministic and stochas-tic Petri nets (DSPNs), in which at most one deterministic transition may be enabled in each marking of the net. A classification of possible events in each state is introduced in order to automatically resolve all conflicts between transitions and to map the SPN to an underlying discrete time Markov chain. It is thus possible to compute the transient and steady state solution of the net with standard techniques.

Suggested Citation

  • Robert Zijal, 1995. "Discrete Time Deterministic and Stochastic Petri Nets," Springer Books, in: Günter Hommel (ed.), Quality of Communication-Based Systems, pages 123-136, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-0187-5_8
    DOI: 10.1007/978-94-011-0187-5_8
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