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In manufacturing systems, setup time and production time play important partswhich are reduced through human learning effect. Furthermore, defectiveproducts of the manufacturing lines are classified as imperfect (repairable)and scraps (non-repairable) products. To this end, purpose of this research isto determine the optimal run time for an Economic Production Quantity (EPQ)model with scrap, rework, setup time, and machine breakdown under learningeffect assumption. Machine breakdown occurs after generating a specificquantity of defective items which follows by reworking process. In this study apercentage of defective products are considered as scrap and the rest of themare reworked, while times of production and setup are reduced by learningeffect. The proposed problem is extended upon a production-inventory costfunction. Next, convexity of the developed model is proved, and the optimal runtime for the model is obtained. Finally, numerical example illustrates utilityof the developed model.

Optimal run time for an EPQ model with scrap, rework, setup time and machine breakdown (failure) under learning effect assumption