Die Zuverlässigkeit eines Systems mit redundanten störanfälligen Komponenten und Reparaturmöglichkeiten

We consider the reliability of a repairable system with several stand-by redundant units, where not only the working unit but also the spares are subject to failure. We assume, that repair-times and life-times of spares are exponentially distributed, whereas the time to failure of a working unit is - independent of its age at the time of switch-on - arbitrarily distributed. Using these assumptions, we derive the expected time to system-failure and the steady-state availability explicitely for the case of three redundant units. The example of double-exponentially distributed working-times is used to examine the dependancy of these characteristics on repair-times, and to calculate the optimal repair-rate. © 1974 Physica-Verlag.