Dependability of a Complex System with General Waiting Time Distributions

This paper considers the possibility of the inclusion of general waiting time distributions for failed system while examining its behavior with regard to dependability. The probabilities that the system is operable, waiting for repair and under repair are obtained. Some particular cases are also discussed in details. The behavior of the complex system under steady state has also been examined. It may be noted that in the particular case when the simple system is put under repair instantaneously the results correspond to those obtained by Hosford [1].