Failures analysis of systems modeled by Mixed Fault Trees

This paper presents a comparative study of availability evaluation of systems modeled by a mixed fault tree (MFT). This MFT contain a static sub-trees and dynamic sub-trees. These sub-trees can be independent or dependent. To evaluate the availability of a system from its fault tree, three methods are applied here: the first uses the classic Bayesian networks (CBN) for static sub-trees and dynamic Bayesian networks (DBN) for dynamic sub-trees, the second being proposed, bases on the binary decision diagrams (BDD) for static sub-trees and dynamic Bayesian networks (DBN) for dynamic sub-trees and the third being proposed uses the binary decision diagram (BDD) for static sub-trees and Markov chains (MC) for dynamic sub-trees . The three methods are compared in both cases; independence and dependence of sub-trees.