Abstract
General recursive models are developed for the unavailability and the mission-failure probability of standby equipment subject to periodic testing. The analytic approach allows general distributions for the failure times, test durations, and repair times. It accounts for start-up failures, standby failures, and failures during mission, as well as several categories of human error. Explicit expressions are derived for the unavailabilities and approximate optimal test-intervals for constant standby failure rate.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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