This paper discusses a new class of problem related to mathematical programming but with two separate decision makers in hierarchical relationship, each with his own objective function and control over distinct but interacting variables. The relationship of this problem to agricultural (energy and environmental) policy problems is developed, together with the relationship of this new problem structure to mathematical programming, game theory, control theory, and principal agent theory. Suggested computational approaches are reviewed, along with the solution to two illustrative examples of the use of the technique.
This paper presents a linear programming model for farm planning known as the “Purdue Top Farmer Cropping Model ‘B’.” This model is designed for direct use with farmers and has been used by more than 5,000 individuals. The paper describes the features of this model and discusses the rationale for these features. In this process details on application, evolution and impact of the model are given. The success of the model is due to its design and the interplay between research and extension personnel in the model design.
Un modèle de programmation linéaire, connu sous le nom de “Purdue Top Farmer Cropping Model ‘B’,” et destiné à la planification de la production des exploitations agricoles, est presenté dans ce rapport. Le modèle, déjà employé par plus de 5000 individus, est construit de manière à être directement utilisable par les exploitants agricoles. Le rapport décrit et expose la raison d'être des caractéristiques du modèle. Des détails sur les applications, l'évolution et l'impact de ce dernier sont fournis. La collaboration entre Je personel de recherche et d'extension dans le dessin du modèle en explique le succès.
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