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The present investigation seeks the steady state availability, reliability and mean time to failure of the 1-out-of (k+1): G redundant system. A system having k active units (kM) and one unit (1S) as a warm standby redundancy have considered. The effects of various parameters on reliability measures have been analyzed by deriving two models. Model I is designed as a reliability model and Model II for steady state availability. The assumptions have been made that the detected faults in the redundant system is covered imperfectly. The Markov process, supplementary variable technique, Laplace transformation are adopted to determine the transient behavior of the system. Presented results based on numerical data to demonstrate the practical utilization of the developed models. This study is very helpful for the engineers to design a highly reliable redundant system with high profit in the industry.

Exploiting Performance Analysis of Redundant System (KM+1S)