扩展的DEA模型的最优值的研究

讨论扩展的C^2GS^2(C^2R)模型的最优解的存在性，论证在一定条件下其最优值与C^2GS^2(C^2R)模型的最优值相等，讨论用扩展的DEA模型来判断决策单元的DEA有效性(C^2GS^2或C^2R)，证明若所有输入与输出都取正值，则某决策单元的阀值就等于对应的扩展DEA模型的最优值(若它存在)。

A Study on Optimal Value of a Extensive DEA Model

In this paper the existence of the optimal solution for a extensive C~2GS~2(C~2R) model is (discussed,) it is proved that the optimal value for extensive DEA model is equal to the optimal value for DEA model under some conditions, it is (discussed) that the DEA efficiency ( C~2GS~2 or C~2R) of a decision making unit is discriminated by the extensive DEA model, and it is proved that the threshold value of a DMU is equal to the optimal value of an extensive DEA model corresponding to it if all inputs and outputs are positive while this value exists.