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一种具有独立子系统的决策单元DEA排序新方法
引用本文:董伟伟. 一种具有独立子系统的决策单元DEA排序新方法[J]. 山东大学学报(理学版), 2013, 48(1): 89-92
作者姓名:董伟伟
作者单位:重庆大学数学与统计学院,重庆,401331
摘    要: 数据包络分析是(data envelopment analysis, DEA)评价具有可比性决策单元相对有效性的一种工具。在排序过程中,如果同时比较决策单元的最优效率与最劣效率,排序结果会更合理。将基于完全包络面的超效率DEA模型、虚拟决策单元以及非径向C2GS2模型引入具有独立子系统的决策单元DEA排序问题中,提出了改进的能体现决策者偏好或指标重要程度的两阶段模型。最后算例证明该方法的排序结果具有公平性、合理性、完全性。

关 键 词:完全包络面  虚拟决策单元  非径向C2GS2模型  两阶段
收稿时间:2012-03-19

A new method of DEA efficiency ranking for decision making units with independent subsystems
DONG Wei-wei. A new method of DEA efficiency ranking for decision making units with independent subsystems[J]. Journal of Shandong University, 2013, 48(1): 89-92
Authors:DONG Wei-wei
Affiliation:DONG Wei-wei(School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China)
Abstract:Data Envelopment Analysis (DEA) is a tool to assess relative efficiencies with a group of decision making units (DMUs). As in ranking process, it  the best and worst efficiency scores of a DMU are compared at the same time, the results will be more reasonable. The CEF (complete envelopment frontier) based on super efficiency DEA model, virtual DMU and non radial C2GS2 model were used in DMUs with independent subsystems, then a new two stages model which considering the preference of decision maker or the importance of different index were proposed. Final, the data example proves that the ranking results of the improved model are fair, reasonable and full.
Keywords:complete enveloping surface   virtual DMU   non-radial C2GS2model   two-stage
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