The time-varying demand and price discount inventory model for deteriorating items

Under the condition of the suppliers providing price discount to the retailers, an inventory model with many orders for deteriorating items is established, in which the demand is a function with price and time. Then, we prove the existence of the optimal replenishment policy and design a algorithm to attain the optimal order number and the optimal selling price. At last, the numerical examples are given to verify the validity of the model.