| 用超效率综合DEA模型来研究DEA有效性 |
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| 引用本文： | 吴文江.用超效率综合DEA模型来研究DEA有效性[J].数学的实践与认识,2012,42(4):158-165. |
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| 作者姓名： | 吴文江 |
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| 作者单位： | 北京工业大学(管庄),北京,100024 |
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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.
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| 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 |
DEA Efficiency Studied by Super-efficiency Generaliged DEA Model |
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| WU Wen-Jiang.DEA Efficiency Studied by Super-efficiency Generaliged DEA Model[J].Mathematics in Practice and Theory,2012,42(4):158-165. |
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| Authors: | WU Wen-Jiang |
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| Institution: | WU Wen-Jiang (Beijing Polytechnic University(Guanzhuang),Beijing 100024,China) |
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| Abstract: | For super-efficiency generaliged DEA model,in this paper there are three theorems 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. |
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| Keywords: | data envelopment analysis decision-making unit generaliged model super-efficiency DEA efficiency extreme DEA efficiency |
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