Mean residual life function of systems

Most of the fault-tolerant systems such as parallel and k-out-of-n consist of components having independent and nonidentically distributed lifetimes. These types of system structures have founded wide applications in both industrial and technical areas during the past several decades. For the improvement of the reliability of the operation of such complex technical systems, the implementation of the structural redundancy is widely used. In this thesis, we consider the mean residual life (MRL) function of a parallel and k-out-ofn systems consisting of n components having independent and nonidentically distributed lifetimes. Numerical results are introduced to study the effect of increasing the system level and various parameters on the mean residual life of the systems. Further, the relation between the mean residual life of the system and the mean residual life of its components is investigated.