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.