针对离散时间下修理有延迟的单部件可修系统,建立了系统状态转移的数学模型。该模型假定系统有正常、维修和故障后待修三种状态,并且系统寿命、修复时间和等待修理时间均遵从一般离散分布。利用随机过程的方法,研究了该可修系统状态之间的转移关系。在该模型的基础上得到了系统可靠度、可用度、平均故障次数等常用可靠性指标。最后,通过一组算例来说明了该模型的有效性。
A model is proposed for a discrete time one-unit repairable system with delay repair. It is sup-posed that the system has three states: normal, repair and waiting repair, and that the system life, repair time and waiting repair time all have general distribution. Using the method of stochastic process, the relation of sys tem states is investigated, and a series of reliability indices are obtained such as reliability, availability, and themean failure times. Finally, two examples are given to illustrate the proposed model.