An economic production quantity model with non-synchronized screening and rework

• This study considers an production system with the reworking of imperfect items.
• We presented a solution procedure to derive the optimal policy.
• By taking the limiting parameter values, we generalized the proposed model to the classic EPQ model.
• A numerical example is provided to illustrate the theory and its application.

This study investigates an economic production quantity model for imperfect quality items with non-synchronized screening and rework. With time intervals as decision variables, our approach establishes a feasible optimal policy for the inventory system. We presented a solution procedure to derive the optimal policy, and generalized the proposed model to the classic EPQ model by taking the limiting parameter values for the optimal solution. A numerical example is provided to illustrate the theory and its application.