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Recently, an alternative multi-delivery policy into imperfect economic production quantity (EPQ) inventory model with partial rework has been proposed, which considers the number of shipments a fixed and given value. This paper, treating the long-run average costs per unit time as a function of the replenishment lot size  and the number of shipments , adopts the differential calculus approach to get the optimal solution of  and  jointly. In numerical examples, it is illustrated that the solution procedure is simple and accurate.

A simple solution procedure to solve the multi-delivery policy into economic production lot size problem with partial rework