Author:
Dimitri Lefebvre
Affiliation:
Greah Université Le Havre, France
Keyword(s):
Stochastic Petri Nets, Continuous Petri Nets, Fluidification, Steady State, Reliability Analysis.
Related
Ontology
Subjects/Areas/Topics:
Discrete Event Systems
;
Formal Methods
;
Informatics in Control, Automation and Robotics
;
Modeling, Simulation and Architectures
;
Petri Nets
;
Robotics and Automation
;
Signal Processing, Sensors, Systems Modeling and Control
;
Simulation and Modeling
Abstract:
Reliability analysis is often based on stochastic discrete event models like stochastic Petri nets. For complex dynamical systems with numerous components, analytical expressions of the steady state are tedious to work out because of the combinatory explosion with discrete models. For this reason, fluidification is an interesting alternative to estimate the asymptotic behaviour of stochastic processes with continuous Petri nets. Unfortunately, the asymptotic mean marking of stochastic and continuous Petri nets are mainly often different. This paper proposes a geometric approach that leads to a homothetic approximation of the stochastic steady state in specific regions of the marking space.