含有贮备元件的复杂系统平均寿命的估计

The estimation of mean life in complex system with a stand-by component

基于最小路径的复杂系统,当子系统含有贮备元件时,给出元件寿命分布服从指数分布时,该复杂系统可靠度的解析表达式。分贮备子系统元件寿命相同和元件寿命分布不相同两种情况进行讨论,得到两种情况下的解析表达式;利用该解析表达式,给出该复杂系统平均寿命的估计,并证明该估计具有渐近正态性。

Based on the complex systems described by minimum path,the expression of reliability for the complex system with a stand-by component under exponential distribution is given.The analytical expressions are obtained under two different situations that the lifetime of stand-by subsystem＇s component is same or not.Furthermore,the estimation for the mean life of it is given by using expression of reliability of this complex system.It is also proven the asymptotic normality of this estimation.