We analyse a reverse osmosis (RO) system that consists of three parts: a pre-treatment subsystem, high pressure pump, and RO membrane, as shown in the schematic picture of the system (Fig. 1), followed by being converted into the transition diagram (Fig. 2). The subsystems were set up in a succession, making it possible for the failure of one to affect the entire system. It is expected that the units will fail and need to be repaired according to the 2-parameter Weibull distribution. To create the system's mathematical model, Markov models are used. The first order differential equation system was created using mnemonic rules, and it was then solved recursively using Modified Weibull distribution. The numerical results for the reliability characteristics, probability density functions, and hazard rate function were produced using Maple software, and the same maple program was also utilized to convert the numerical results to graphics. Analysis of the system's availability, reliability, PDF, hazard rate function and mean time to system breakdown is covered. For clarity, a numerical example is provided.
