多阶段系统可靠性的混合式分析

评述两种不同的多阶段任务系统可靠性分析方法:多阶段任务系统的双值决策图组合式方法和马尔科夫链方法.如果多阶段任务系统的每一阶段是静态的,最好采用组合式方法解决;如果其中的一些阶段是动态的,不全是静态的,可能只采用马尔科夫链方法,也可能采用既有组合式又有马尔科夫链的混合式方法.通过研究部件跨阶段依赖性的特征和混合式方法的特点,针对部件失效服从指数分布和系统失效满足一定条件,提出相应的简便算法.这种算法综合了多种成熟的可靠性分析方法,通过案例分析充分说明它的低运算量和容易实施的特点.

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 which advantages of the low computational complexity and easy implementation are shown using an example.