Delayed deteriorating items with cubic demand and shortages in an EPQ model

An economic production quantity model plays a dominant role in production and manufacturing components. In this article, an EPQ model is proposed for delayed deteriorating items with time dependent cubic demand in before deterioration and after deterioration the demand is constant. In this inventory model shortages are allowed and it is partially backordered. A mathematical model is developed and the best cycle time which optimizes the total inventory cost and an economic production quantity. Finally, numerical example and sensitivity analysis of the developed model are presented to see the effect of changes in some parameter in the inventory system.