C^2R和C^2GS^2模型的DEA有效性问题  

DEA Efficiency Problems for C￣2R and C￣2GS￣2 Models

作　　者：冯俊文[1] 

机构地区：[1]南京理工大学经济管理学院

出　　处：《系统工程与电子技术》1994年第7期42-51,共10页Systems Engineering and Electronics

摘　　要：就评价相对有效性方法的Ｃ￣２Ｒ模型，本文导出了决策单元ＤＥＡ有效及ＤＥＡ弱有效的一个充要条件，并由此得到判断ＤＥＡ有效和ＤＥＡ弱有效的几个简单易行的方法。此外，本文用很简单的方法证明了Ｃ￣２Ｒ模型ＤＥＡ有效决策单元的存在性。最后就Ｃ￣２ＧＳ￣２模型讨论并证明了ＤＥＡ有效及ＤＥＡ弱有效决策单元的存在性问题。As to the C￣2R model for rneasuring the relative efficiency of decision-making units,a necessary and sufficient condition for the decision-making units' DEA efficiency and DEA weak efficiency is developed,from which several convenient feasible methods for evaluating the DEA effi-ciency of decision-making units are induced. The existence of DEA efficient decision-making units for C￣2 R model is proved by a very simple way.Finally,the existence problem of DEA efficient and DEA weak efficient decision-making units for C￣2GS￣2model is discussed and jproved.

关 键 词：DEA 有效性 运筹学 C^2R模型 C^2GS^2模型 

分 类 号：O22[理学—运筹学与控制论]