最优生产函数的数学规划方法

在讨论公理化生产可能集概念的基础上,对已知生产活动观测集的生产单元的生产可能集的构造形式给出了证明。提出了最优生产函数的概念并建立了确定最优生产函数的数学规划模型。本文提出的最优生产函数反映了生产行为的目的性。对多投入、多产出过程提出的两种最优生产函数是广泛意义下的生产函数,它们是点到集合的映射。

Mathematical Programming Method of Optimal Production Functions

The concept of axiomatized feasible production set is discussed and the proof of structure form of the feasible production set about production unit known the observable set of production activity is given. This paper proposes the concept of Optimal production function and establishes the mathematical programming models-which are used to define the optimal production functions that reflect the purposefulness of production action. Two optimal production functions given for the production process of multi-input—multi-output are the production function in some extensive sense. The relations beteen multi-input and multi-output which are reflected by the optimal production functions are a Point-to-set mapping.