6. Conclusions and future research
In this research, a new multi-objective nonlinear mixed-integer optimization model to determine Pareto-optimal preventive main- tenance and replacement schedules for a repairable production system is presented. In order to solve the multi-objective model, a Monte Carlo simulation procedure integrated with goal program- ming method is proposed. The model and the solution technique is found to be an effective approach in solving preventive main- tenance and replacement planning problems encountered in manufacturing systems. The method identifies non-dominated solutions close the true Pareto optimal front and uniformly distributed over the objectives space capturing the existing trade-off among different objective functions. Such a modeling approach and proposed solution method will be useful for main- tenance planners and engineers tasked with the problem of developing recommended maintenance plans forcomplex produc- tions systems.