泊松冲击下冷贮备可修系统的可靠性分析

本文研究了一类由有限个同质部件和一个修理工组成的冷贮备可修系统在随机冲击下的可靠性问题。假设冲击以泊松过程到达。当冲击到达时,它会独立地对系统中工作的部件产生影响,而不会对冷贮备部件产生影响。每次冲击的量都服从某一确定的分布,受冲击的部件以一定的概率发生故障,其故障概率是冲击量的函数,当工作的部件发生故障时,下一个冷贮备部件立即开始工作,当所有部件故障时,系统故障,故障部件按故障顺序进行修理,修理时间服从指数分布,故障部件能被修理如新。本文显式给出了系统首次故障前平均时间、稳态可用度、稳态故障频度等可靠性指标。

Reliability Analysis for Cold Standby Repair System under Poisson Shock

In this paper,the reliability problem of a class of cold standby system consisting of finite identical components and a repairman under stochastically shocks is investigated.We assume that the arrival of the shock follows a Poisson process.An arriving shock will bring a random effect to the working component in the system,while not to the standby ones.Consequently,the working component will fails with certain probability,which is not only a function of the shocking value,which submits to a common known distribution,but also depending on the component itself.When a working component fails,the next cold standby component will start to work immediately,the fail component can be repaired as good as new,whose repairing time is of exponentially distributed.The system fails only if all the components failed.For the system,some reliability indices such as the the mean time to first failure,the availability and the failure frequency of the system are expressed explicitly.