Reliability modelling and profit analysis of a fly ash bricks manufacturing system

We have developed a reliability model for a fly ash brick manufacturing system. The system consists of three subsystems: pan mixing, belt conveyor, and brick forming, which are connected in series. The first and second subsystems each have a single component, while the third subsystem contains two components-namely, a rotary press and a hydraulic press-which operate in parallel. A single server is employed in the system to rectify all types of faults. The failure and repair rates of the system follow a negative exponential distribution. Expressions for MTSF (Mean Time to System Failure), availability, expected number of repairs, and expected number of server visits are derived. The system's behavior is analyzed using regenerative point and semi-Markov process techniques. Finally, numerical and graphical presentations of the system model are provided to illustrate the trends in the system's performance, with failure and repair rates of the components taking arbitrary parameter values.