Abstract: To address the problems of difficult description of the dynamic performance of redundancy systems and the complex calcuation brought by common cause failure (CCF), a generalized stochastic petri net (GSPN) considering the CCF is proposed. The concepts of shock place and transition are introduced in the modeling of typical redundancy structure to expand the petri net modeling methods and the reachability graphs are generated to verify the feasibility of the models, which efficiently describe the dynamic failure behaviors of the system. By using the timed/immediate transitions and designing the net structure properly, the model realizes the failure information maintenance. Based on the model, the Monte Carlo simulation method is employed to generate system life data and calculate the system reliability. Finally, this paper takes the PLC system of a missile as an example to achieve the modeling from the unit level to the systemic level, and to realize the reliability solution based on hybrid redundancy structure. The results show that the difference between the results of the proposed method and the conventional analytical method which also considers CCF is less than 0.02, which proves its feasibility.

Key words: reliabilitymodeling, hybridredundancysystem, generalizedstochasticPetrinet, commoncausefailure, MonteCarlosimulation