Abstract
A hybrid availability model of a repairable system with infant mortality failures is proposed. The hybrid model can efficiently represent different types of state transitions by the use of a hierarchy of models: (1) a time-discretized component submodel, which provides a piecewise-linear failure rate during an operating interval; (2) a phased-mission model, which transforms the state probability vector according to repair activity; and (3) a combinatorial model, which is used to predict the number of working units among a collection of identical components. The modeling approach is illustrated by predicting the expected number of working components for a multiple-component system where replacement components are ordered at the end of business hours each weekday end. Replacement occurs on the next weekday morning.
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