| The inventory is held by raw materials, parts and components, and other products in the commercial market. It ensures enterprise operational process, but brings the heavy cost to enterprise at the same time. The inventory control manages various kinds of raw materials, semi-manufactured goods, finished products and other resources in the manufacturing industry and the service trade, to keep store on the rational level. Some administrators pay attention to it, which is an important part of the supply chain management. Therefore, it is important to study the inventory for enterprises to reduce the inventory cost and improve the whole efficiency.The thesis does research to the deterministic inventory control problems under stock dependent selling rate, deteriorating rate, partial backlogging and reservation. Its main contents as follows:In Chapter 1, we firstly introduce the basic concept of inventory control and development of inventory policy. Then, the recent research on inventory models is briefly reviewed, and the main results of the thesis are summarized.In Chapter 2, we develop an EOQ model for deteriorating items with partial backlogging, where the selling rate is a function of inventory level and a ramp type demand rate. Firstly, we show the optimal replenishment policy not only exits but also is unique. Then, a procedure for finding the optimal solution is given. Finally, numerical examples and sensitivity analyses are presented to illustrate the model and solution procedure.In Chapter 3, we consider a deterministic inventory model for deteriorating items with lot-size-dependent replenishment cost and quantity discount. Shortages are allowed with partial backlogging rate. Next, the necessary condition which maximizes total average profit, a simple and effective algorithm for the model is given. Finally, a numerical example is presented to illustrate the model and algorithm.In Chapter 4, we develop an inventory model for deteriorating items over the fixed time horizon, where the advance sales period is variable and customers with reservations may cancel advance orders. Next, the optimal replenishment policy is found by analyzing the model. Finally, a simple and effective algorithm for the model is provided, and a numerical example is presented to illustrate the model.Finally, the contents of the thesis are concluded and the further researches are presented. |
