假设系统有工作、疲劳工作和失效三种状态,系统中有一个修理工,通过假设部件正常工作时间、疲劳工作时间和修理时间均服从指数分布,建立原系统模型。在假设忽略疲劳影响的条件下,得到了新系统模型。利用概率分析与Laplace变换技术,讨论了原系统与新系统的可靠度、可用度、平均停工时间等一系列可靠性指标。
First, the original system models were established by assuming that the systems have three states (perfect work, fatigue work, failure) and a repairman, and perfect working time, fatigue working time and repair time were exponentially distributed. Second, the new system models were obtained under the conditions of the assumption that ignoring the effects of fatigue time. Final, the reliability indices of the original and the new systems including reliability, availability, mean down time and so on were discussed by using probability analysis and Laplace transform technique.