In the recent trends, production plants in the automobile industries all over the world are facing a lot of challenges to achieve
better productivity and customer satisfaction due to increasing the passenger’s necessity and demand for transportation. In this
direction, the belt, tyre, and tube manufacturing plants act as vital roles in the day-to-day life of the automobile industries. Tyre
production plant comprises five major units, namely, raw material selection, preparation, tyre components, finishing, and
inspection. *e main purpose of this research is to implement the new method to predict the most critical subsystems in the tyre
manufacturing system of the rubber industry. As mathematically, any one maintenance parameter among reliability, availability,
maintainability, and dependability (RAMD) parameters is evaluated to identify the critical subsystems and their effect on the
effectiveness of the tyre production system. In this research, the effect of variation in maintenance indices, RAMD, is measured to
identify the critical subsystem of the tyre production system based on the mathematical modeling Markov birth-death approach
(MBDA), and the equations of the subsystems are derived by using the Chapman–Kolmogorov method. Besides, it also calculates
the performance of certain maintenance parameters concerning time such as mean time between failures (MTBF), mean time to
repair (MTTR), and dependability ratio for each subsystem of the tyre production system. Finally, RAMD analysis of the tyre
production systems has been executed for predicting the most critical subsystem by changing the rates of failure and repair of
individual subsystems with the utilization of MATLAB software. RAMD analysis reveals that the subsystem bias cutting is most
critical withtheminimumavailabilityof0.8387,dependability 5.19, dependabilityratio0.8701, andmaximum MTTR38.46 hours
ofthe subsystem.Inthisimplementation ofthe proposedmethod,areal-time casestudyofthe industrialrepairablesystemoftyre
manufacturing system has been taken for evaluating RAMD indices of the production plant of rubber industry cited in the
southern region of Tamil Nadu India