The research paper is focused on mathematical modeling and sensitivity analysis of a steel plant composed of four subsystems using RPGT, the system is discussed using exponential failure and general repair rates for each subsystem. The industry comprises of consists of four subsystems such as grinding, descaling, hot steckel and cutter machine. In the present investigation one have picked the steel industry arranged in Hissar, India manufacturing stainless steel. These are answerable for influencing the accessibility of the system. System managers, engineering technicians, training supervisors, as well as reliability analysts can use RPGT to derive representations for path probabilities, mean sojourn time, MTSF, availability, server’s busy period and profit function as there are no cumbersome calculations in comparison to other available techniques. System behavior for increasing failure and repair rates of subsystems is represented by tables, results obtained show the practical trend, which prove that RPGT is an easy technique to analyze the similarly situated industrial plants