The paper studies the reliability and availability of two dissimilar units. In order to calculate reliability, a state dependent system can be converted into the system of first order ordinary differential equations based on Laplace Transform technique. The system of ordinary differential equations is solved using Inverse Laplace depend on Complex Conjugate roots. Let failure rate and repair rate of each unit are taken as an exponential distribution. Availability, reliability and the mean time to failure are derived. We analysis graphically to observe the effect of various systems Parameters on the availability system and mean time to failure.
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