Stochastic fault tree analysis with self-loop basic events

This paper presents an analytical approach for performing fault tree analysis (FTA) with stochastic self-loop events. The proposed approach uses the flow-graph concept, and moment generating function (MGF) to develop a new stochastic FTA model for computing the probability, mean time to occurrence, and standard deviation time to occurrence of the top event. The application of the method is demonstrated by solving one example.