We study the reliability analysis of a repairable system with m operating units, w warm standby units and R repairmen in which the balking and reneging of units are considered. It is assumed that failed units balk (refuse to join) with a constant probability (1 − b) and renege (leave the queue after joining) according to a negative exponential distribution with parameter r. The failure times of the operating unit and of a standby unit are assumed to be exponentially distributed with parameters λ and α, respectively. The repair time distribution is also exponential. The repairable system is K out of m + w, in which K = 1,2,...,m. The reliability characteristics, such as the system reliability and the mean time to system failure (MTTF), in a repairable system are derived. Several cases are analysed graphically to study the effect of various parameters on the reliability and MTTF of the system.
