Hierarchical steady-state availability evaluation of dynamic fault trees through equal Markov model

Zahra Ramezani, Golam Reza Latif-Shabgahi, Pezhman Khajeie, Koorosh Aslansefat · 2016

Evaluation the availability of systems is an important issue in many applications. One way to estimate the availability of dynamic systems is using their dynamic fault trees (DFT) model. The use of Markov theory is a systematic method to solve dynamic fault trees. However, by increasing the tree size, the number of Markov states is increased exponentially, and its solution becomes complicated. The use of hierarchical methods is a technique to solve such problems. Many published papers have used the Mont-Carlo approach for finding the availability of systems from their DFT model. This paper uses the equal Markov model (EMM) of a system DFT to estimate the system availability. Having introduced the EMM, the EMM of existing dynamic gates will be constructed. The EMM of two systems is then generated and their availability is computed. The results are then compared with those obtained from conventional Markov models to verify the correctness of our approach.

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