Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time

In this study we investigated the cost-benefit analysis of a two-unit cold standby system with two-stage repair of a failed unit. We discuss the concept of waiting time with two-stage repair for a two-unit cold standby system. The repair process is divided into two stages. In the first stage, the repairing process of the unit is started but it does not get completed; instead the process is completed in the second stage. The elapsed time between two stages is called the waiting time. Techniques of regenerative point processes have been used to measure the effectiveness. The time dependent availability, steady state availability, reliability, (MTTF) and profit function were obtained numercially and graphically. The MTTF, the steady-state availability and the profit function decreased with respect to the increase of failure rate and waiting rate.