In the present days of competition among modern industries all are vying for standing in the market for best name and fame of their products production best in quality and design at the lowest cost while keeping optimum values of all the system parameters. Earlier authors have used different methods to derive system equations and then solving these equations involved a huge amount of mathematical calculations and time. In our research we have modeled paper plant using Genetic Algorithm, discussed behavior of digesting unit of paper industry based on queuing theory, reliability prediction of systems with preventive maintenance. Moreover the management employ repairmen and service personnel for maintain the subunits and servicing the whole plant but have no idea which units need more care over the other unit(s) for obtaining targeted values of system parameters, here we have modeled four system parameters of few industrial plants and discussed sensitivity analysis of four system parameters due to failure and repair rates of individual units by preparing corresponding tables, drawing graphs followed by conclusions and discussions. These recommendations if followed by concerned industries may be helpful to them in achieving the desired results. Future researchers may follow methods discussed to evaluate and model systems with more conditions/situations.