Research On Multi Items Inventory Model With Stock Dependent Demand Rate

Inventory plays an important role in the national economy, how to determine the reasonable inventory policy is of great significance in production and reproduction of the national economy.In order to minimize the cost of inventory system, this thesis mainly studies the optimal policy of order and storage in inventory model with stock dependent demand rate for multi items. The content of this thesis includes the following aspects.Firstly, the basic knowledge of inventory theory is introduced. Then, the recent research situation of stock dependent demand rate,trade credit policy and multi items is briefly reviewed.Secondly, the inventory problem for multi items with stock-dependent demand rate is discussed, the items are perishable items. Under the constraint of capacity, the inventory model with the goal of optimizing the average cost of inventory system is established. The existence and uniqueness of optimal strategy are proved, and then a line search algorithm is presented, some numerical examples are given to illustrate the validity of the model and algorithm. This inventory model is a direct extension of single item inventory model with stock dependent demand rate.Thirdly, the inventory model for multi items with stock dependent demand rate is developed when the vendor provides the retailer with delay in payment. The goal of the model is to minimize the average cost of the inventory system. The existence and uniqueness of optimal strategy are discussed, and then a line search algorithm is presented to find the optimal lot size. This inventory model expands the research of single item inventory model with stock dependent demand rate under delay in payment.Finally, the optimal inventory policy is researched when the producer provides the retailer with delay in payment, the seller gives the same policy to his customers at the same time. The inventory model for multi items with stock dependent demand rate is established, where the items are perishable items. The existence and uniqueness of optimal strategy are proved, and the corresponding algorithms are presented. This inventory model is an extension of single item inventory model with stock dependent demand rate under two levels of trade credit policy.