权重受限的超效率DEA模型及其投影分析

Weight restricted super efficiency DEA model and projection analysis

传统DEA模型通过效率值和投影值对无效单元提供很多有用的管理信息,但对有效单元能提供的信息比较少.超效率DEA模型虽度量了有效单元的效率大小,做到了从效率值的角度区分有效单元,却没有考虑有效单元的投影问题.本文首先给出有效单元投影的概念,利用投影不仅可以对无效单元给出无效原因,还可以给出有效单元存在的优势.其次,给出权重受限的综合超效率DEA模型及其投影概念,并讨论本文模型与其它超效率模型的关系.最后,分析本文模型的最优目标函数值与单元有效性之间的关系.

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.