Availability Determination of a Complex Repairable Series- Parallel System Using Markovian Birth-Death Process

Abstract

Availability and profit of an industrial system are becoming an increasingly important issue. This paper dealt with the evaluation of availability of a redundant system. The system considered consists of four subsystems arranged in series-parallel. Performance evaluation model for the availability based on Markovian Birth-Death process using probabilistic approach was formulated. A transition
diagram representing the operational behavior of the system has been constructed. Failure and repair rates of subsystems were kept constant. It was found that as the availability of a system increases, the related profit will also increase.