Title :
Stochastic continuous-state approximation of Markovian Petri net systems
Author :
Vázquez, C. Renato ; Recalde, Laura ; Silva, Manuel
Author_Institution :
Dep. de Inf. e Ing. de Sist., Univ. de Zaragoza, Zaragoza, Spain
Abstract :
Fluidification constitutes a relaxation technique to study discrete event systems through a continuous approximated model, thus avoiding the state explosion problem. In this paper, the approximation by Timed Continuous Petri nets under infinite server semantics is studied. The main contribution of this work is the addition of gaussian noise in order to obtain a better (but stochastic) approximation when synchronizations are important.
Keywords :
Markov processes; Petri nets; approximation theory; continuous systems; discrete event systems; Markovian Petri net systems; continuous approximated model; discrete event systems; fluidification; infinite server semantics; relaxation technique; state explosion problem; stochastic approximation; stochastic continuous-state approximation; synchronization; timed continuous Petri nets; Computational complexity; Discrete event systems; Equations; Explosions; Gaussian noise; Petri nets; Queueing analysis; Stochastic processes; Stochastic resonance; Stochastic systems;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739075
