基于马尔可夫过程的k/n(G)系统共因失效分析

利用马尔可夫过程研究了发生共因失效的k/n(G)系统可靠度计算方法。建立了共因失效时部件全部失效和共因失效时多个部件失效这两种情况下，不可修系统和可修系统的马尔可夫模型。分析了系统部分部件属于共因失效组的可靠度计算方法。利用算例验证了所建立的模型的有效性,结果显示，所建立的马尔可夫模型适用范围广，计算方便。

Analysis of k-out-of-n:G systems subject to common cause failures based on Markov process

The reliability of k-out-of-n: G systems subject to common cause failures is analyzed based on Markov process. The Markov models of k-out-of-n:G non-repairable and repairable systems are built when all the components fail simultaneously and when two or more components fail simultaneously. System reliability is analyzed in the situation that some components in the system are not subject to common cause failures. Exam-ples are given to illustrate the advantages of the Markov models. The results show that the Markov models are very convenient and useful.