Received (Day Month Year) Revised (Day Month Year) This paper deals with the modeling and computation of in-service aircraft reliability at the preliminary design stage. This problem is crucial for aircraft designers because it enables them to evaluate in-service interruption rates, in view of designing the system and of optimizing aircraft support. In the context of a sequence of flight cycles, standard reliability methods are not computationally conceivable with respect to industrial timing

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... nstraints. In this paper, first we construct the mathematical framework of in-service aircraft reliability. Second, we use this model in P k-out-of-n:F system An n-component system that fails if and only if at least k components fail