A two-unit cold standby system with three modes and correlated failures and repairs

Abstract The economic parameters are studied for a two-unit cold standby system with three modes and failure and repair times having bivariate exponential density as their joint distribution. The system is studied at suitable regenerative epochs to obtain these economic parameters. Explicit results have also been obtained for the case when failure and repair times are independent. Two important parameters of the system, i.e. MTSF and availability, have been studied graphically to observe the effect on them of correlation.