二阶段加法DEA模型的生产可能集与生产前沿面（英文）  

The production possibility set and frontier for the two-stage additive DEA model

作　　者：王晓敏[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《运筹学学报》2015年第3期131-139,共9页Operations Research Transactions

摘　　要：针对二阶段加法DEA模型的中间要素的特殊性,构造生产可能集及其公理体系,由此定义生产前沿面,并建立DEA有效和生产前沿面之间的等价关系.通过构造一个多目标规划模型,建立该问题的Pareto有效解与DEA有效之间的等价关系.This paper mainly focuses on the production possibility set and the pro- duction frontier for the two-stage additive DEA model. Based on the special status of the intermediate measures in the two-stage model, the production possibility set with a pair of intermediate measures and its axiom system are established. Then the production frontier is defined, which is proved to be equivalent to DEA efficiency. A multiobjective programming model is constructed to prove the equivalence of Pareto efficiency and DEA efficiency at last.

关 键 词：数据包络分析 二阶段加法DEA模型 中间要素 生产可能集 生产前沿面 DEA有效 

分 类 号：O221[理学—运筹学与控制论]