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运筹学学报 >

2015 , Vol. 19 >Issue 3: 131 - 139

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2015.03.016

运筹学

二阶段加法DEA模型的生产可能集与生产前沿面

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  • 1. 上海交通大学数学系，上海, 200240

收稿日期: 2015-05-31

  网络出版日期: 2015-09-15

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

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  • 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China

Received date: 2015-05-31

  Online 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

本文引用格式

王晓敏 . 二阶段加法DEA模型的生产可能集与生产前沿面[J]. 运筹学学报, 2015 , 19(3) : 131 -139 . DOI: 10.15960/j.cnki.issn.1007-6093.2015.03.016

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

参考文献

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