串联系统可用度和MTTR的评估

An Estimation of Series System Availability and MTTR

一个可修复的串联系统,由k个不同元件组成。系统只有一个修理工,且第i个元件的工作时间和修复时间分别服从指数分布F_i(t)、G_i(t),i=1,2,…,k.同时假定每个元件在t时刻处于何状态(工作或修理)是相互独立的。计算具备上述条件的系统可用度及MTTR的置信水平为1-α的置信限。本文就此类问题分析,认为可用Easterling方法来计算,并在计算机上进行了数值模拟.

A reparable series system consisting of k independent components is considered. This system is only supported by a repair facility. The distribution of life time and repair time of the component i obeys respectively to the expo- nential distribution of F_i(t) and G_i(t), i= 1, 2,…,k. Besides, it is supposed that at any time t, the state of each component, is mutually independent respectively (either in a working or repair state). It is estimated that the availabi- lity and MTTR of this series system under the above mentioned conditions are in the confidence level 1-α. This paper suggests that this problem can be worked out with the Easterling method. A numerical value analogue has been made on computer.