Stochastic modelling and analysis of a repairable 2-out-of-4 system

In this study, stochastic modelling and analysis of a repairable 2-out-of-4 system is presented. The system under study is exposed to four types of failures and is attended by four repairmen. The failure and repair time are assumed exponentially distributed. Explicit expressions for mean time to system failure (MTSF), the steady-state availability, and busy period of repairman and profit function of the system are analysed stochastically using Kolmogorov’s forward equation method. Numerical results giving some particular values to the costs and other parameters have also been obtained. Graphical studies on MTSF, steady-state availability and profit has been shown with respect to both failure and repair rates.