Comparative analysis between network systems with standby components

This paper analyzes the reliability of serial networking systems. This paper explores two probabilistic models. Model I is a serial network computer consisting of three A, B and C subsystems, with a C subsystem consisting of three out of six parts. Model II is a serial network system consisting of three subsystems A, B and C, with subsystem C consisting of 2-out-of-6 components. The failure and repair time of the running and standby components is believed to be exponentially distributed. The system of first-order linear differential equations is developed and resolved to obtain explicit expressions for steady-state availability and mean failure time for each model. In addition, both numerical and theoretical comparisons were conducted. The results showed that Model II was the best in terms of availability, mean time failure and cost benefit ratio.