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Weight restricted super efficiency DEA model and projection analysis

Zhao Chunying;Ma Zhanxin;School of Economics and Management, Inner Mongolia University;School of Mathematical Sciences, Inner Mongolia University;  
For ineffective decision making units, traditional DEA model can provide much useful management information through efficiency values and projections. While for effective decision making units, it can provide little information. Super efficiency DEA model overcomes this weakness of traditional DEA model, and further measures efficiency values of the effective decision making units. Although super efficiency DEA models can differentiate effective decision making units according to efficiency values, it does not consider the projection of effective decision making units. In this paper, firstly, projection of effective decision making units is proposed,which is superior in that the DEA projection not only gives the cause of the invalidity of ineffective decision making units, but also describes the advantages of effective decision making units relative to other decision making units. Secondly, weight-restricted comprehensive super efficiency model and projection concept are proposed, and the relationship between weight-restricted comprehensive super efficiency model and other super efficiency DEA models is discussed. Finally, the relationship between the efficiency value of the weightrestricted comprehensive super efficiency model and the effectiveness of decision making units is analyzed.
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