Stochastic outlook of two non-identical unit parallel system with priority in repair

Abstract

The crux of the study is to investigate a two non-identical unit parallel system where priority is given to first unit. The system consists of two non-identical units arranged in parallel configuration. System failure occurs when both the units stop Working. Weibull failure and repair time distributions of each unit are taken. Several measures of system effectiveness, such as reliability, MTSF, steady state availability, expected profit etc., useful to system managers are obtained by using regenerative point technique. Further, recognizing the fact that the life testing experiments are very time consuming, the parameters representing the reliability characteristics of the system/unit are assumed to be random variables. Both informative and non-informative prior are used for the Bayesian analysis. Therefore, a simulation study is also conducted for analysing the considered system model both in classical and Bayesian setups.