DEA在生产函数研究中的应用

本文针对目前生产函数研究中存在的缺陷，基于理论生产函数框架，运用运筹学的新领域－ＤＥＡ方法。提出了仅利用生产系统实际生产状态就可确定出动态前沿生产函数的数学模型，对处于非前沿生产点的生产状态，又给出了其生产函数的确定定理，采用本文提出的ＤＥＡ模型确定生产函数，满足最小投入最大产出性质且不受非技术因素的影响，这是诸如回归分析，超越对数等传统方法所不及的。

AN APPLICATION FOR DEA TO THE STUDY OF PRODUCTION FUNCTION

This paper at first concludes the deficiencies in the existing studies of production function. Based on the frame of theoretical production function, we develop mathematical models by which the dynamic frontier production function can be determined underlying the actual production states of a production system by means of data envelopment analysis (DEA). We also present the theorem telling how to determine production function when a production state is not on the frontier production surface. The production function determined by the DEA models in this paper satisfies minimal input and maximal output,and excludes impoct of the non--technology factor. All of this is characteristics of this paper differing from such traditional approaches as regression analysis and transcendental logarithm etc.