Reliability of a repairable standby system with imperfect sensing and switching

A reliability model for a repairable standby system with imperfect sensing and switching units is developed. The system has two unequal units which have energized as well as quiescent failure rates and have corresponding repair rates. The system has a sensing unit with a nonzero failure rate and a switching unit which has both cyclic and continuous failure rates, with the continuous mode including failing-open and failing-closed function modes. The system´s reliability is obtained in an explicit form. Numerical examples are given, and the effects of the sensing and switching unit´s failure rates on the system´s reliability are discussed