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用超效率综合DEA模型来研究DEA有效性 被引量:7

DEA Efficiency Studied by Super-efficiency Generaliged DEA Model
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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.
作者 吴文江
出处 《数学的实践与认识》 CSCD 北大核心 2012年第4期158-165,共8页 Mathematics in Practice and Theory
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 data envelopment analysis, decision-making unit generaliged model super- efficiency DEA efficiency, extreme DEA efficiency.
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