Reliability analysis of a discrete-time one-unit repairable system with delay repair

A model is proposed for a discrete-time one-unit repairable system with delay repair.It is supposed 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 system states is investigated,and a series of reliability indices are obtained such as reliability,availability,and the mean failure times.Finally,two examples are given to illustrate the proposed model.