Title :
Time domain analysis of NMSPN with PRI transitions
Author :
Horváth, András ; Telek, Miklós
Author_Institution :
Dipt. di Inf., Torino Univ., Italy
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 analyze the transient behavior. Two examples are calculated to illustrate the proposed numerical method
Keywords :
Petri nets; differential equations; stochastic processes; time-domain analysis; PRI transitions; differential equations; marking process; nonMarkovian stochastic Petri nets; numerical method; preemptive repeat identical transitions; time domain analysis; transform domain description; transient behavior; Laplace equations; Petri nets; Queueing analysis; Resumes; Steady-state; Stochastic processes; Terminology; Time domain analysis; Transforms; Transient analysis;
Conference_Titel :
Petri Nets and Performance Models, 2001. Proceedings. 9th International Workshop on
Conference_Location :
Aachen
Print_ISBN :
0-7695-1248-8
DOI :
10.1109/PNPM.2001.953365
