SIMPLIFICATION OF STOCHASTIC PETRI NETS USING A DECOUPLING METHOD

摘要

This paper concerns the simplification of stochastic Petri net model, possessing the property of double scale of time. This simplification uses the singular perturbation method. The stochastic Petri net is transformed in a Markov chain in discrete time and discrete state space. Then, by application of singular perturbations, our model is decomposed in two subsystems. The part mat has the greatest influence on the system is only preserved. Then the reverse process determines the simplified graph that corresponds to the most influential part of the system. An example stemming from an industrial repair cycle validates the step used.