Innovative Models for Crop Planning Problem to Improve Production Efficiency in Agricultural Management under Uncertainty

摘要

Several mathematical optimization models for agricultural management have been proposed and developed. Crop planning model is one of these models that maximizes the farmers ’incomes by finding an optimum assignment of crops in their farmlands. Although the crop planning model is formulated as a linear programming problem and considers cultivation areas (sizes) for objective crops, it does not indicate the assignment location of crops. In addition,the problem deals with the farmer income in a certain season. In many actual cases, if we continue to cultivate a crop at the same farmland for some seasons, the harvest will change with the season because of replant failures, i.e., the optimum assignment is not applicable for all seasons. Therefore, we have to formulate more useful models that consider multiple seasons. In this paper, we propose a mathematical model that discusses crop assignment in a farmland and a multi-period crop rotation programming problem with replant failure effects to develop an innovative crop planning model. Furthermore, we try to describe the harvest transition using a network and discuss methods that yield an optimum crop rotation sequence using network programming and quality-control techniques.