Stochastic behaviour of a two-unit priority standby redundant system with repair

Abstract A two-unit priority standby redundant system is discussed taking account of a repairable non-priority unit. Stochastic behavior of such a system is investigated; the distribution of the time to the system failure, the expected number of visits to the system failure during a finite interval, and the pointwise unavailability are obtained. A special case with all exponential distributions are presented in details as an example. Further the distribution of the busy period of a repairman and the distribution of the time to the system recovery are derived.