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Time domain analysis of NMSPN with PRI transitions.

Horváth, A.; Telek, M.

In: Proceedings of 9th International Workshop on Petri Nets and Performance Models, PNPM'01 Aachen, Sept. 11-14, 2001, Reinhard German and Boudewijn Haverkort (eds.), IEEE, pages 155-164. 2001.

Abstract: The time domain analysis of non-Markovian Stochastic Petri Nets (NMSPNs) with preemptive repeat identical (pri) type transitions is considered in this paper. The set of "time domain" equations describing the evolution of the marking process is provided. The relation of the time domain and the formerly available transform domain description is discussed. Based on the time domain description of the process a simple numerical procedure is provided to nalysze the transient bahavior. Two examples are calculated to illustrate the proposed numerical method.

Keywords: non-Markovian Stochastic Petri Nets, preemption policies, preemptive repeat identical (pri) type transition, time domain analysis.

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