Instantaneous Deteriorated Economic Order Quantity (EOQ) Model with Promotional Effort Cost

This model studies the problem by proposing a continuous review inventory model under promotion by assuming that the units do not lost due to deterioration of the items. In this model optimization has been studied for applying promotional effort cost with promotion constraint. The effect of deteriorating items on the instantaneous profit maximization replenishment model under promotion is considered in this model. The market demand may increase with the promotion of the product over time when the units do not lost due to deterioration. In this model, promotional effort and replenishment decision are adjusted arbitrarily upward or downward for profit maximization model in response to the change in market demand within the planning horizon with fixed ordering cost. The objective of this model is to determine the optimal time length, the promotional effort and the replenishment quantity with fixed ordering cost so that the net profit is maximized and the numerical analysis show that an appropriate promotion policy can benefit the retailer and that promotion policy is important, especially for deteriorating items. Finally, sensitivity analyses of the optimal solution with respect to the major parameters are also studied to draw the managerial implications.