Stochastic analysis of a two unit warm standby system with fault detection and inspection

Abstract This paper deals with a two unit redundant system in which one unit is operative and the other is warm standby, i.e. the standby unit is used to replace the operative failed unit instantaneously. Before the repair of the operative failed unit, it is sent for fault detection which takes a random amount of time. After the repair, the unit goes into inspection for deciding whether the repair is perfect or not. If the repair is found to be imperfect the unit is sent for post repair. Using the regenerative point technique in the Markov renewal process several reliability characteristics of interest to system designers and operation managers are obtained.