Reliability Analysis of Discrete-time One-unit Repairable System

The time parameter is assumed to be discrete as there are many discrete-time problems in engineering community,but the existing theory only gives us methods in continuous-time systems.Considering the one-unit discrete time repairable systems,this paper proposes a state transition model based on failure rate and repairable rate.The reliability performances such as reliability,availability of the system and the mean failure times are obtained.An example is given to illustrate the effectiveness of the proposed model.