Classical and Bayesian analysis of reliability characteristics of a two-unit parallel system with Weibull failure and repair laws

The present paper deals with analysis of reliability characteristics of a two-unit parallel system under classical and Bayesian set ups. The system consists of two non-identical units arranged in parallel configuration. System failure occurs when both the units stop functioning. Failure and repair time distributions of each unit are taken as Weibull with common shape parameter but different scale parameters. Using regenerative point technique, various measures of system effectiveness useful to system designers and operating managers have been obtained. Further, since the life testing experiments are time consuming and as such the parameters representing the reliability characteristics of the system/unit are assumed to be random variables. Therefore, a Monte Carlo simulation study is also carried out to illustrate the results for considered system model.

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