Economic Order Quantity Model for Delayed Deteriorating Items with Time Dependent Linear Declining Demand and Backordering

Ibrahim Alhaji and Jamilu Adamu

Keywords: EOQ, Inventory, Delayed deterioration, linear declining demand


In this paper, an Economic Order Quantity (EOQ) Inventory model was developed for delayed (Non-instantaneous) deteriorating items with the assumption that the demand rate before deterioration begins is linear declining function of time while the demand rate when deterioration sets in becomes constant up to when the inventory is completely depleted. The optimal cycle length that gives the minimum total inventory cost was at the end determined and the maximum backorder level determined. The model was solved analytically by minimizing the total inventory cost which leads to the determination of the best cycle length. Numerical examples were provided to illustrate the application of the developed model