An Application of Gradient Method to Simulation of Crop Production Model

Abstract

In the previous paper, a formulation of crop production was made, assuming that it was an optimal control problems of distributed parameter systems.
This paper is dealing with solving an example by gradient method that is a fundamental computational procedure for optimal control problems. This example assumes a simple crop production problem such as obtaining the optimal control function which maximize number of individuals above a limited weight by means of controlling crops in community constructed from one species.
It can be well shown that controlling crop individuals improves the performance index and changes the inner communitie's structure. However some problems, such as expressing control cost and control function, deciding production period and number of divisions, are remained for further study.