Stand-by redundancy complex system's reliability

Abstract In this paper the behaviour of a complex system having two classes of components has been investigated. The configuration of the system is such that in one class the components are connected in series and in the other class in stand-by redundancy. Further, it has been assumed that repair of the failed components of both the classes is carried under the head of line repair discipline. The Laplace transforms of various state probabilities have been obtained. Asymptotic behaviour of such a system has also been examined. In the end a particular case has been derived.