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DEA中连续C~2R模型理论的研究
引用本文:甄苓.DEA中连续C~2R模型理论的研究[J].数学的实践与认识,2008,38(18).
作者姓名:甄苓
作者单位:中国人民大学,经济学院,北京,100872;中国农业大学,理学院,北京,100083
摘    要:在DEA中的C2R模型的基础上,针对决策单元输入与输出为0,1]区间上的连续函数,建立了在一个时间区间内评价决策单元间的相对有效性的连续C2R模型以及其对偶模型,同时给出了决策单元的效率定义和弱DEA有效、DEA有效的定义.同时得到了弱对偶定理,从而初步构建了连续C2R模型的理论体系.

关 键 词:DEA  连续C2R模型  连续C2R模型的对偶模型  对偶定理

The Study on the Theory of Continuous C2R Model in DEA
ZHEN Ling.The Study on the Theory of Continuous C2R Model in DEA[J].Mathematics in Practice and Theory,2008,38(18).
Authors:ZHEN Ling
Abstract:Based on C2R model in DEA,the continuous C2R model and it′s dual model which are employed to evaluate the relative efficiency among decision making units are established in this paper when the inputs and outputs of decision making units are continuous functions defined at interval.At the same time,we give the definition of efficiency of decision making units,the definition of weak DEA efficiency,the definition of DEA efficiency.Meanwhilej the weak dual theorem has been gotten.So,an initial theorical body of continuous C2R model has been costructed.
Keywords:DEA
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