Paper Info
Title
Transient Analysis of Deterministic and Stochastic Petri Nets
Abstract
Deterministic and stochastic Petri nets (DSPNs) are recognized as a useful modeling technique because of their capability to represent constant delays which appear in many practical systems. If at most one deterministic transition is allowed to be enabled in each marking, the state probabilities of a DSPN can be obtained analytically rather than by simulation. We show that the continuous time stochastic process underlying the DSPN with this condition is a Markov regenerative process and develop a method for computing the transient (time dependent) behavior. We also provide a steady state solution method using Markov regenerative process theory and show that it is consistent with the method of Ajmone Marsan and Chiola.
Year
DOI
Venue
1993
10.1007/3-540-56863-8_46
Application and Theory of Petri Nets
Keywords
Field
DocType
transient analysis,stochastic petri nets,stochastic process,stochastic petri net,steady state
Method of supplementary variables,Markov regenerative process,Computer science,Control theory,Steady state probability,Continuous-time stochastic process,Stochastic Petri net,Steady state,Transient analysis
Conference
ISBN
Citations 
PageRank 
3-540-56863-8
53
4.91
References 
Authors
12
3
Name
Order
Citations
PageRank
Hoon Choi122523.95
Vidyadhar G. Kulkarni253960.15
Trivedi, K.S.37721700.23