Hybrid methods for reliability analysis of phased-mission systems

Two different kinds of approaches for the reliability analysis of phased-mission systems are introduced, which include binary decision diagram for phased-mission systems (PMS-BDD) combinational methods and Markov chain methods. If each phase of PMS is actually static, the combinational methods are better than Markov chain methods. But if some phases are dynamic and others are static, there is a problem whether Markov chain methods or the hybrid methods with combinational methods and Markov chain methods are better. After characteristics of components across phases and that of hybrid methods are researched, and if survival function of the components across the phases is exponentially distributed and the several special terms are matched, then the simple algorithm is presented for the hybrid methods. This algorithm implements a synthesis of the approaches into a single methodology and its advantages of low computational complexity and easy implementation are shown using an example.