Interval Valued Generalized Stochastic Petri Nets for Imprecise Modeling in Unavailability Assessment

Abstract

In this paper, we handle the issue of imprecision in evaluating the performance of the systems using Generalized Stochastic Petri Nets (GSPN). The basic probabilities generally considered in this type of nets are replaced by an interval-valued probability. This allows analysts to express their uncertainties related to the parameters of the different elements of the system and to assess the effect of this uncertainty on industrial system unavailability. Results obtained from varying the unavailability give some insights into the performance of the studied system. It is demonstrated how the imprecision led to important changes in the performance of the system. The used approach combines Generalized Stochastic Petri Nets (GSPN) and interval method to validate the obtained results obtained applied in safety systems.