多状态可修复k/n系统的随时间响应可靠性研究

Research on the dynamic reliability of multi-state repairable k-out-n systems

利用离散时间的马尔科夫链和半马尔科夫链对复杂的多状态可修复k/n系统元件的多样性进行了分析,给出了元件状态变化以及在状态逗留时间的概率分布计算公式,然后给出了元件在状态变化、状态寿命变化的一步概率转移矩阵,最后根据对元件的分析,导出了系统的可靠度与可用度的预测模型。算例表明,得出的模型易行、有效。

The component diversity of multi-state repairable k-out-n （k/n） systems is analyzed by using discrete time Markov chains and semi-Markov chain to obtain the fomula for computing the probability distribution of component state changes and the state sojourn time, then, the first order probability transition matrix of components＇ state changes and state lifetime changes is given, and finally, the models for prediction of system reliability and availa- bility are deduced by components analysis, and their feasibility and effectiveness are verified by a computing exam- ple.