| 具有可控和不可控要素的多目标DEA模型 |
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| 引用本文： | 王晓敏,孔鹏志.具有可控和不可控要素的多目标DEA模型[J].系统工程与电子技术,2009,31(6):1376-1380. |
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| 作者姓名： | 王晓敏 孔鹏志 |
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| 作者单位： | 1. 上海交通大学数学系, 上海, 200240;2. 上海交通大学安泰经济与管理学院, 上海, 200240 |
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| 摘 要： | 建立输入输出要素部分可控和部分不可控的情况下的多目标DEA(data envelopment analysis)模型,通过其对偶模型和标量化,给出多目标DEA有效的概念并研究其性质。给出各种Pareto有效解的定义并建立其与多目标DEA有效的等价关系,通过将决策单元投影到生产前沿面上得到新的多目标DEA有效的决策单元,由此说明权重的作用。
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| 关 键 词： | 数据包络分析模型 可控要素 不可控要素 多目标规划 有效解 |
| 收稿时间： | 2008-04-12 |
Muitiobjective DEA models with controllable and uncontrollable factors |
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| WANG Xiao-min,KONG Peng-zhi.Muitiobjective DEA models with controllable and uncontrollable factors[J].System Engineering and Electronics,2009,31(6):1376-1380. |
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| Authors: | WANG Xiao-min KONG Peng-zhi |
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| Institution: | 1. Dept. of Math., Shanghai Jiaotong Univ., Shanghai 200240, China;2. Antai Coll. of Economics & Management, Shanghai Jiaotong Univ., Shanghai 200240, China |
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| Abstract: | A multiobjective DEA model and its dual through weighting coefficients are put forward for the system with partial controllable and partial uncontrollable input and output factors.The multobjective DEA efficiency for a decision making unit is defined and investigated.Some Pareto efficient solutions are also suggested and their equivalent relationships with multobjective DEA efficiency are established.A new multobjective DEA efficient unit,which is called a projection,can be got by projecting the unit onto the production foreland.The projection can be adjusted by changing the weighting coefficients. |
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