用超效率综合DEA模型来研究DEA有效性  

DEA Efficiency Studied by Super-efficiency Generaliged DEA Model

作　　者：吴文江[1] 

机构地区：[1]北京工业大学(管庄),北京100024

出　　处：《数学的实践与认识》2012年第4期158-165,共8页Mathematics in Practice and Theory

摘　　要：对超效率综合DEA模型,有三个定理来判断其不可行性,其中一个定理基于加性模型来判断,并证明:当模型不可行时被评决策单元的扩展DEA有效性,由此给出了对扩展DEA有效的决策单元排序的方法,此外,对不含非阿基米德无穷小的基于输入(输出)的超效率综合DEA模型,当其最优值为1时,有一个定理来判断被评单元的DEA有效性.For super-efficiency generaliged DEA model, in this paper there are three theo- rems to judge its infeasibility, one of which is on the basis of additive DEA model, and it is proved that as the model is infeasibility then the evaluated unit is extreme DEA efficiency, besides, for input-based （output-based） super-efficiency generalired DEA model without non- Archimedian infinitesimal, as optimale value is one ,there is a theorem to judge DEA efficiency of the evaluated unit.

关 键 词：数据包络分析(DEA) 决策单元(DMU) 综合DEA模型 超效率 DEA有效 扩展DEA有效 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置] O242.1[自动化与计算机技术—控制科学与工程]