Technical Note—Probabilistic Analysis of a Two-Unit System with a Single Service Facility for Preventive Maintenance and Repair

This note deals with the availability and the reliability of a two-unit system with a cold standby and a single service facility for the performance of preventive maintenance and repair. Explicit expressions for the Laplace transform of the mean downtime of the system during (0, t) and for the mean time to system failure have been obtained under the assumption that the repair time and the preventive maintenance time of a unit are exponentially distributed. The case of no preventive maintenance is also considered as a special case.