| DEA扩展有效的鲁棒性 |
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| 引用本文： | 彭煜,贾志永.DEA扩展有效的鲁棒性[J].系统工程,2004,22(1):104-107. |
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| 作者姓名： | 彭煜 贾志永 |
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| 作者单位： | 1. 西南交通大学,经济管理学院,四川,成都,610031;西南科技大学,理学院,四川,绵阳,621002
2. 西南交通大学,经济管理学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金资助项目(70273024)，四川省教育厅科研基金资助项目(2002A031) |
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| 摘 要： | 通过给出决策单元为DEA扩展有效的几个等价命题，来研究扩展有效决策单元的鲁棒性。得到了当输入增加或输出减少后，它仍然保持扩展有效性的一些充分必要条件，还给出了保持扩展有效的判断方法和数值实例，而该方法不需要求文献3]中的最优基矩阵的逆矩阵，也不需要求解文献5]中的线性方程组。
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| 关 键 词： | DEA 鲁棒性 数据包络分析 扩展有效性 线性规划 |
| 文章编号： | 1001-4098(2004)01-0104-04 |
Robustness of the DEA Extremely Efficient |
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| PENG Yu,JIA Zhi-yong.Robustness of the DEA Extremely Efficient[J].Systems Engineering,2004,22(1):104-107. |
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| Authors: | PENG Yu JIA Zhi-yong |
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| Institution: | PENG Yu~1,2,JIA Zhi-yong~1 |
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| Abstract: | By means of some equivalent propositions on evaluation the DEA extremely efficient of a DMU relative to a reference set grouped by all other DMUs, the robustness analysis of the DMU which is extreme efficient has been studied in this paper. Sufficient and necessary conditions for upward variations of inputs and for downward variations of the outputs of an extremely efficient DMU to remain extremely efficient are presented. Some approaches to judge the DMU whether keeping the extreme efficiency after inputs or outputs are changed and a numerical example is illustrated as well, and these approaches don't require the calculation of the inverse optimal basis matrix in 3] and the solution of the linear equations in 5]. |
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| Keywords: | Data Envelopment Analysis(DEA) Extremely Efficient Robustness Efficient Decision Making Unit(DMU) |
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