Modeling and Simulation of Reliability Function of a k-out-of-n:F System

A hot standby repairable k-out-of-n system is studied. In one of the previous papers, reliability function for the case of k= 2 and k= 3 with exponential life and general repair time distribution have been found. Moreover, sensitivity analysis of their reliability characteristics to the shape of the repair time distribution of the system’s elements has been performed. In this paper, the problem of the asymptotic insensitivity of such a system when both life and repair time have general distribution is considered with a simulation approach. The results are presented for a special case of a 3-out-of-6:F system. © 2020, Springer Nature Switzerland AG.