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中文摘要：
数据包络分析（DEA）已有效地运用于银行、交通运输等行业中.CCR模型作为数据包络分析（DEA）的第一个模型,其对数据包络分析的发展具有深远的影响.CCR模型的一些定义及性质可以平行推广到其他的模型中,如有效性定义、“投影”定理及Pareto-Koopmans有效等.因此CCR模型是数据包络分析（DEA）的源头及其不断发展的动力所在.从CCR模型“投影”有效性考虑,提出2种新的证明“投影”有效性的方法,且可推广到其他的模型.
英文摘要：
Data envelopment analysis （DEA） has been effectively used in the banking, transportation and other ac- tivities. CCR model is the first model of data envelopment analysis （DEA）. It has a profound effect on the develop- ment of data envelopment analysis. Some definitions and properties of the CCR model can be parallel extended to other model, such as validity definition, the projection theorem, Pareto - Koopmans efficiency. Therefore, the CCR model is the origin of data envelopment analysis and the sustained power of data envelopment analysis. This paper only considers efficiency of projection of CCR model and proposes two new methods to prove the efficiency of the projection. These two methods can be extended to other models.
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