Title :
Time domain analysis of non-Markovian stochastic Petri nets with PRI transitions
Author :
Horváth, András ; Telek, Miklós
Author_Institution :
Dept. of Telecommun., Budapest Univ. of Technol. & Econ., Hungary
fDate :
10/1/2002 12:00:00 AM
Abstract :
The time domain analysis of non-Markovian stochastic Petri nets with pre-emptive 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 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; approximation theory; differential equations; queueing theory; stochastic processes; time-domain analysis; differential equations; first order approximation; marking process; nonMarkovian stochastic Petri nets; preemptive repeat identical transitions; queuing model; time domain analysis; transient behavior; Helium; Laplace equations; Petri nets; Queueing analysis; Steady-state; Stochastic processes; Terminology; Time domain analysis; Transforms; Transient analysis;
Journal_Title :
Software Engineering, IEEE Transactions on
DOI :
10.1109/TSE.2002.1041050
