| Interval DEA模型中决策单元的投影问题 |
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| 引用本文： | 易荣华,王宁沈,刘巅.Interval DEA模型中决策单元的投影问题[J].数学的实践与认识,2010,40(17). |
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| 作者姓名： | 易荣华 王宁沈 刘巅 |
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| 作者单位： | 中国计量学院管理学院;浙江理工大学信息电子学院; |
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| 摘 要： | 在传统的DEA模型中,最优相对效率模型是在不大于1的范围内研究决策单元的效率的,最差相对效率模型是在不小于1的范围内研究决策单元的效率,这两种模型在研究投影问题时,是在不同的范围内进行的,有一定的片面性.将在interval DEA模型中,研究决策单元的投影问题,该模型是在相同的约束域内研究最优和最差相对效率模型,得出的结论将更加全面,通过两个定理给出了非DEA有效的决策单元在DEA有效面上的投影表达式和非DEA无效的决策单元在DEA无效面上的投影表达式.同时,通过一个实例对决策单元在interval DEA模型中的投影结果与在传统的DEA模型的投影结果进行了比较,发现投影结果比传统模型得到的投影结果对实际的生产有更强的指导意义.
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| 关 键 词： | 投影 interval DEA模型 最优相对效率模型 最差相对效率模型 |
The Problem of Projection for Dmus in Interval DEA Model |
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| YI Rong-hua,WANG Ning-shen,LIU Dian.The Problem of Projection for Dmus in Interval DEA Model[J].Mathematics in Practice and Theory,2010,40(17). |
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| Authors: | YI Rong-hua WANG Ning-shen LIU Dian |
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| Institution: | YI Rong-hua~1,WANG Ning-shen~1,LIU Dian~2 (1.School of Management,China Jiliang University,Hangzhou 310018,China) (2.School of Information & Electronic,Zhejiang Science and Technology University,China) |
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| Abstract: | In conventional DEA model,the relative efficiencies of DMUs(decision making units) are measured within the range of no more than one and that of no less than one in the best relative efficiency model and the worst relative efficiency model,respectively.The results of projection for DMUs,whose efficiencies are evaluated in different ranges,are one-sided. This paper will give all-sided results of projection in interval DEA model in which the best and worst relative efficiencies are measured in the same constr... |
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| Keywords: | projection interval DEA model the best relative efficiency model the worst relative efficiency model |
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