控制理论在最优产品库存上的应用

The Application in Optimal Product Stock of Control Theory

本文考虑的是具有独立经营权、生产单一产品的工厂,如何通过选择一个适当的生产率来控制产品的库存,以使企业的效益最佳的问题.本文利用现代控制理论,以t时刻的生产率作为控制变量,以t时刻的库存量作为状态变量,建立了系统的动态模型,给出了目标泛函J,并利用极大值原理求出了最优控制.同时,本文给出了一求解最优控制的具体实例.

This paper researches that how a factory which has independent management power and produces one kind of product gets the maximum profitthrough choosing the suitable productivity to control the stock of the product. Using the productivity at time t as control variable and the amount of the stock of goods at time t as state variable, this thesis gives the dynamic model of this system and index founctional on the basis of modern control theory. In the meantime, the thesis gives the specific optimal control by the means of maximum princile.