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Mutual relation among four DEA models and its application in computation

MA Zan-fu,LIU Yan-jun (Guizhou College of Finance and Economics,Guiyang 550004,China)  
The calculation of DEA efficiency is vital in the process of the performance appraisal.Additionally, the study of the mutual relation among the four kinds of DEA models,that is,CCR model,BCC model,FG model and ST model,is helpful for calculating the four kinds of DEA efficiencies and judging the objects' status of returns to scale and efficiency of scale.Under the assumption of four kinds of different returns to scale the DEA efficiency of given decision making unit is defined with the four kinds of DEA models,and the input and output efficiencies have the property of equivalency,which means two out of four of input or output efficiencies will be equivalent to the rest respectively.On the other hand,CCR model has dynamic relation with FG model and ST model.Based on these,FG model and ST model's efficiency can be determined once the CCR model and BCC model's efficiency are calculated.
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