DEA扩展有效的鲁棒性  

Robustness of the DEA Extremely Efficient

作　　者：彭煜[1] 贾志永[1] 

机构地区：[1]西南交通大学经济管理学院

出　　处：《系统工程》2004年第1期104-107,共4页Systems Engineering

基　　金：国家自然科学基金资助项目(70273024);四川省教育厅科研基金资助项目(2002A031)

摘　　要：通过给出决策单元为DEA扩展有效的几个等价命题,来研究扩展有效决策单元的鲁棒性。得到了当输入增加或输出减少后,它仍然保持扩展有效性的一些充分必要条件,还给出了保持扩展有效的判断方法和数值实例,而该方法不需要求文献[3]中的最优基矩阵的逆矩阵,也不需要求解文献[5]中的线性方程组。By means of some equivalent propositions on evaluation the DEA extremely efficient of a DMU relative to a reference set grouped by all other DMUs, the robustness analysis of the DMU which is extreme efficient has been studied in this paper. Sufficient and necessary conditions for upward variations of inputs and for downward variations of the outputs of an extremely efficient DMU to remain extremely efficient are presented. Some approaches to judge the DMU whether keeping the extreme efficiency after inputs or outputs are changed and a numerical example is illustrated as well, and these approaches don't require the calculation of the inverse optimal basis matrix in [3] and the solution of the linear equations in [5].

关 键 词：DEA 鲁棒性 数据包络分析 扩展有效性 线性规划 

分 类 号：O221.1[理学—运筹学与控制论]