Principles of dynamic optimization in resource management
区分了适合静态分析与需要动态分析的资源问题,用动态规划方法直接推导最优条件,并以渔业、可耗竭资源开采、饲料增重和肥料施用等为例说明,对资源管理实践有指导意义。
The type of resource problem amenable to static analysis is distinguished from that requiring dynamic analysis. Possibly due to the apparent complexity of optimal control theory methods, often dynamic models have not been applied where they would be appropriate. In this article dynamic programming arguments are used to derive optimality conditions directly and simply. They are derived for a renewable resource such as a fishery, but they have application to resource management in general. The approach is illustrated by examples to the extraction of a depletable resource, to feeding for weight gain, and to applying fertilizer when some fertilizer carriers over from one crop season to another. Conditions for the optimal replacement of biological units are also considered.