A Standby Redundant Model with Noninstantaneous Switchover

Abstract

This paper considers the case of a standby redundant system where the switchover is not instantaneous. The duration of time between the instant at which action is initiated on the standby subsystem in order to bring it to the active state and the instant at which it becomes operating standby is called switchover time, and is considered to be a random variable. A policy specifying the instant at which action is initiated on the standby subsystem in order to bring it to the operating standby state is proposed and under this proposed policy, the Laplace transform of the probability density function of time to system failure and the expression for expected time to system failure are derived.