Reliability Prediction of Repairable Redundant System with Imperfect Switching and Repair

Abstract

A redundant repairable system having provision of S dissimilar warm standby units and a repair facility is studied. The concepts of common cause failure, switching failure, reboot, repair delay and imperfect repair are taken into account to develop Markov model and facilitating the reliability indices of machining system operating under machining environment. Using appropriate transition rates, Chapman Kolmogorov equations governing the model are constructed to obtain the transient probabilities of the system states. Further, system reliability indices are explored by establishing the explicit expressions in terms of transient probabilities. Runge–Kutta fourth-order technique is applied to perform the numerical simulation and to explore the sensitivity of the various metrics including the availability and failure frequency, with respect to different system parameters.