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J4 ›› 2010, Vol. 45 ›› Issue (2): 31-36.

• 论文 • 上一篇    下一篇

多目标DEA模型的多阶段评价分析

李甫问 孔鹏志   

  1. 李甫问 :山东省济宁学院数学系, 山东 济宁 273100; 孔鹏志:上海交通大学安泰经济与管理学院,上海 200052
  • 收稿日期:2009-04-13 出版日期:2010-02-16 发布日期:2010-03-27
  • 通讯作者: 孔鹏志(1982-),男,博士研究生,研究方向为资产评估、数据包络分析. Email:king-kong@sjtu.edu.cn
  • 作者简介:李甫问(1979-),男,助教,研究方向为非线性泛函分析. Email:lifuwen1229@yahoo.com.cn

Multi-stage discrimination using a multi-objective DEA model

  • Received:2009-04-13 Online:2010-02-16 Published:2010-03-27

摘要:

工程项目某一分期实施阶段的无效率可能导致整体计划的无效,为了克服传统DEA模型评价这类阶段性问题的局限,及时发现并调整工程项目的无效阶段,借鉴具有不可控要素DEA模型的思想建立了多阶段DEA模型,同时考虑到单目标DEA模型的不足,进一步将多阶段DEA模型扩展为多目标模型。通过多目标DEA模型的多阶段评价分析解决了全局计划下的阶段评价问题,并能得到各阶段不同投入要素的调整比例。数理分析和数值模拟结果均表明上述多目标阶段评价具有可操作性,决策单元的阶段有效性比CCR模型的结论更加细致。

关键词: 数据包络分析(DEA);不可控要素;多目标;多阶段

Abstract:

The whole plan of a project may become inefficient because of the inefficiency of its some implementation phase. The traditional DEA model can not beused to deal with such stagewise operation problems. In order to avoid the limitation of the traditional DEA model, a multi-stage DEA model was set up based onthe idea of the DEA model with uncontrollable factor. Simultaneously, considering the shortage of the single DEA model, the multi-stage DEA model was extended to be the multi-objective one. Then, the phase evaluation could be carried out by the multi-stage multi-objectiveDEA model, and the different improve proportions of inputs could be obtained au the same time. The mathematical analysis and numerical simulation results showed that the above mentioned methodology was operable, and the results was more detailed than that using CCR model.

Key words: data envelopment analysis (DEA); uncontrollable factor; multi-objective; multi-stage

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