Probabilistic Analysis of Different Redundant Complex System with Reper for the Unites

This paper presents the reliability and MTTF analysis of a two-state complex with repairable system, consisting of two sub-systems A and two sub-systems B arranged in series, incorporating the concept of hardware failures. Laplace transforms of the various state probabilities have been derived and then reliability of the complex system, at any time t, has been computed by inversion process. MTTF has also been evaluated; availability and steady-state availability for system are derived. The failure times of operating units and repair time of failed units are exponential distributed. Certain important results have been evaluated as special cases. Also, few graphical illustrations are also given at the end to high-light the important results.