Joint Optimization of Maintenance and Production Scheduling with Considering the Back of Order and Probabilistic Demand

Joint optimal production scheduling and preventive maintenanceare interested in many research andhas a potential impact on the performance of manufacturing systems. In addition, due to the uncertainty in demand, maintenance and inventory shortages are almost inevitable. Therefore, determining the optimal amount of buffer level, the time required to create additional storage space to address the loss, and the maintenance time is a concern for many manufacturers. Paper studied a single-machine production unit with incremental failure rates. The system begins with a h-sized inventory stored in period A and stops as soon as it reaches period m, whichever occurs earlier, and is subject to maintenance. The buffer inventory during this period. A mathematical model and a numerical approach are used to obtain optimal values of variables simultaneously to minimize the average total cost and satisfy the access constraint. The results show that, in the presented model, the total cost and decision variables are highly sensitive to the inventory holding cost but not also for the occurred scenario.