有关DEA模型(C^2GS^2)的最优值的定理及其在预测方法简化中的应用

Theorems on Optimal Value of DEA Model (C\+2GS\+2) and Its Application in Simplification on Forecasting Method

文献［１］中在将初始点选在生产可能集内的基础上用弱ＤＥＡ 有效性（Ｃ２ＧＳ２）进行预测，但有时难于在生产可能集内选取初始点，因此本文在给出一些有关ＤＥＡ 模型（Ｃ２ＧＳ２）的最优值的定理的基础上设法省略该步骤．对任给的有正输入与正输出的初始点，不必检验它是否在生产可能集内，只要ＤＥＡ 模型的最优值存在且为正，就可用弱ＤＥＡ

Forecast with weak DEA efficiency was made in reference \ by choosing initial point in the production possibility set. But it is difficult sometimes to choose the initial point in the production possibility set, so this paper is trying to omit it after presenting some theorems on optimal value of DEA model (C\+2GS\+2). For any given initial point with positive inputs and positive outputs. we don't have to check up if it is in the production possibility set, the forecast with weak DEA efficiency is made as long as the optimal value of the DEA model exists and is positive.