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

Abstract

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.