A Study Of Inventory Model On Stock-dependent Demand And Deteriorating Items

Inventory control since it was proposed has been concerned by the majority of scholars. Deterministic inventory under classical EOQ model is no longer suitable for today’s complexed and changing production and consumption markets. The rapid development of the productive forces of the country, the rising purchasing power of the people led the product update frequency, production cycles constantly shrinking, resulting in the goods has items deterioration. This paper studies the deteriorating items inventory strategy, the paper is divided into three chapters, mainly as follows:The first chapter introduces the originated, research and the development of the inventory control and the present situation of the past two decades of the deteriorating items inventory control. Then the classic EOQ model and the main work of this paper will be introduced.The second chapter under the assumption that the classical economic lot-size model assumed that the holding cost is fixed is loosened, we established the deteriorating item inventory model with the order cost and the holding cost including two classes of cost under the stock-dependent demand. Then we proved the existence and uniqueness of the optimal solutions and the example was given to illustrate the solving process of the present model.In the third chapter,we proposed two ordering policy on deteriorating multi-item inventory system, established the model for the purpose of the system average cost at least, and give the optimal solution under certain conditions. Finally, the paper compared the merits of the two strategies by numerical example, and a numerical analysis of the order cycle and the average cost were given.