Pseudo Availability of Repairable System

Availability is a very basic characteristic of a system for measuring its performance. Various traditional availabilities have been defined in the literature. This article considers repairable system, the failure of which can be detected only by inspection, and incorporates both inspection and repair into consideration. The concept of pseudo availability is introduced and studied. Pseudo availability differs from the traditional availabilities in that once the system is in ‘up’ state it will remain there forever without change. The expression and/or its Laplace transform are derived. The limiting behavior of pseudo availability is also studied. AMS 2000 Subject Classification Primary 60K10, Secondary 60E10