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J4 ›› 2013, Vol. 48 ›› Issue (1): 89-92.

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一种具有独立子系统的决策单元DEA排序新方法

董伟伟   

  1. 重庆大学数学与统计学院, 重庆 401331
  • 收稿日期:2012-03-19 出版日期:2013-01-20 发布日期:2013-01-15
  • 作者简介:董伟伟(1988- ), 女, 硕士, 主要从事运筹学与控制论中数据包络分析的研究. Email:dongweiweicd@163.com

A new method of DEA efficiency ranking for decision making units with independent subsystems

DONG Wei-wei   

  1. School of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2012-03-19 Online:2013-01-20 Published:2013-01-15

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

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.

Key words: complete enveloping surface; virtual DMU; non-radial C2GS2model; two-stage

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