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 with same structure and same initial marking are mainly often different. This paper shows that this difficulty is related to the partition in regions of the reachability state space. A geometric approach is developed to characterize the regions and to get a partial homothetic approximation of the stochastic steady state. Location: Technische Universität Berlin, Germany
Posted on: Fri, 31 Jan 2014 23:00:01 +0000
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