The Research On The Inventory Model With The Current Inventory-level-Dependent Demand

Inventory theory has been carried into more industry, men is concerned about inventory control theory and the storage. Inventory theory problem is the category of storage study, the theory and methods of inventory control is highly concerned by lots of CEO; simultaneously, every member in the inventory purse maximization of their individual expected profits, that lead to the incidental industry. Therefore, studying the problems of inventory control has extraordinary significance in the reality.The progress of inventory control models which has been researched is based on constant demand. Few are based on inventory-level-dependent demand. Furthermore, concerning of the economical effects and special items, lots of enterprise's administrators, when in the formulation of storage strategy, not only will consider the demand of the market changes, but also to consider the rationality of the inventory itself. In allusion to inventory models with an inventory-level-demand, the details are given as follows:In Chapter1, introduces the study background and the study in the domestic and international to prepare for the research.In Chapter2, the inventory model is presented that demand is assumed to be the polynomial function of inventory level. It analyses factors that influence the shortage of goods deteriorated, establishes corresponding mathematical model, and seeks the average profit maximization of ordering strategy. And several examples gived try to explain and analyses models, and reduce inventory cost to take obtain the optimal profits.In Chapter3, the demand researched is the current inventory level of linear function of inventory model, considering the shortage came up. We deduce model of the objictive function. The resolving method is afforded. Practical examples analyses the problem provided the solution model algorithm.In Chapter4, the demand depends on the perishable product inventory level the optimum order strategy, with shortages and no shortage of two kings of situations. If order cost is small enough, we obtain corresponding strategy by means of hypothesis; we achieve optimum solutions by the algorithm.At last, all achievements of the thesis are summed up and pointes out deficiency of the research, and some future directions for the research are suggested.