具有偏好锥的面向输出的超效率DEA模型分析

doi:10.15960/j.cnki.issn.1007-6093.2020.01.005

运筹学学报 ›› 2020, Vol. 24 ›› Issue (1): 57-72.doi: 10.15960/j.cnki.issn.1007-6093.2020.01.005

具有偏好锥的面向输出的超效率DEA模型分析

赵春英¹, 马占新^2,*

内蒙古大学数学科学学院, 呼和浩特 010021

收稿日期:2017-05-22 发布日期:2020-03-09
通讯作者: 马占新 E-mail:em_mazhanxin@imu.edu.cn
基金资助:
国家自然科学基金（Nos.71661025，71261017），内蒙古自然科学基金（Nos.2016MS0705，2014MS0351），内蒙古草原英才项目（No.12000-12102012）

Output-oriented super efficiency DEA model with preference cone

ZHAO Chunying¹, MA Zhanxin^2,*

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

Received:2017-05-22 Published:2020-03-09

摘要/Abstract

摘要： 鉴于传统DEA模型无法区分有效决策单元，超效率DEA模型未考虑决策者的偏好，现提出面向输出的权重受限的综合超效率DEA模型及其投影概念，并讨论该模型与其他超效率DEA模型之间的关系.接着，分析模型的最优目标函数值与决策单元有效性之间的关系，并讨论面向输出的权重受限的综合超效投影与多目标规划问题的非支配解之间的关系.最后，通过对中国西部12个地区工业企业科技创新效率综合评价，并与原有方法进行比较研究，得出本文方法更具优势和合理性.

关键词: 综合评价, 多目标决策, 超效率, DEA投影

Abstract: In this paper, the output-oriented weight restricted comprehensive super efficiency DEA model and the projection concept is proposed, in the view of traditional DEA model can not distinguish between efficiency decision making units and the super efficiency DEA model does not consider the preference of the decision maker. The relationship between the output-oriented weight restricted comprehensive super efficiency DEA model and other super efficiency DEA models is discussed. Secondly, the relationship between the optimal objective function value of the output-oriented weight restricted comprehensive super efficiency DEA model and the effectiveness of decision making unit is analyzed. The relationship between the output-oriented weight restricted comprehensive super efficiency projection and the non-dominated solution of multi-objective programming is discussed. Finally, the scientific and technological innovation efficiency of industrial enterprises in 12 regions of western China is evaluated, and the method proposed in this paper is compared with the original methods. It is concluded that the method proposed in this paper is more advantageous and reasonable.

Key words: comprehensive evaluation, multi-objective decision-making, super efficiency, DEA projection

中图分类号:

赵春英, 马占新. 具有偏好锥的面向输出的超效率DEA模型分析[J]. 运筹学学报, 2020, 24(1): 57-72.

ZHAO Chunying, MA Zhanxin. Output-oriented super efficiency DEA model with preference cone[J]. Operations Research Transactions, 2020, 24(1): 57-72.

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具有偏好锥的面向输出的超效率DEA模型分析

Output-oriented super efficiency DEA model with preference cone

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