只有产出(投入)BC^2模型中决策单元效率的几何刻画

Geometric Features of Decision Making Units' Efficiency in BC^2 Model with Output(Input) Only

在DEA方法中,DEA有效和弱DEA有效的决策单元位于生产前沿面上,非弱DEA有效的DEA无效决策单元位于生产可能集的内部而非生产前沿面上.通过引入生产可能集与生产前沿面移动的思想,证明只有产出(投入)的BC^2模型评价下的决策单元的最优值与相应的生产前沿面的移动值存在倒数关系,以双产出(投入)情形图示说明,明确了决策单元在生产可能集中所处的位置.

DEA efficient and weak DEA efficient DMUs are located on the production frontier,DEA inefficient but not weak DEA efficient DMUs are in the production possibility set but not on the production frontier in the DEA method.By introducing the idea of the moving of production possibility set and production frontier,prove that it exist reciprocal relationship between the optimal value base on the BC2 model with output（input） only and the moving value of production frontier,illustrate through the double output（input）,and make clear the DMUs’ location in production probability set.