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运筹学学报 ›› 2015, Vol. 19 ›› Issue (3): 131-139.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.016

• 运筹学 • 上一篇    下一篇

二阶段加法DEA模型的生产可能集与生产前沿面

王晓敏1,*   

  1. 1. 上海交通大学数学系，上海, 200240
  • 收稿日期:2015-05-31 出版日期:2015-09-15 发布日期:2015-09-15
  • 通讯作者: 王晓敏 xmwang@sjtu.edu.cn

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

WANG Xiaomin1,*   

  1. 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2015-05-31 Online:2015-09-15 Published:2015-09-15

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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.

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

Abstract:

 This paper mainly focuses on the production possibility set and the production 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.

Key words: data envelopment analysis, two-stage additive model, intermediate measures, production possibility set, productionfrontier, DEA efficient