| 二阶段加法DEA模型的生产可能集与生产前沿面 |
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| 引用本文： | 王晓敏.二阶段加法DEA模型的生产可能集与生产前沿面[J].运筹学学报,2015,19(3):131-139. |
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| 作者姓名： | 王晓敏 |
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| 作者单位： | 1. 上海交通大学数学系，上海, 200240 |
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| 摘 要： | 针对二阶段加法DEA模型的中间要素的特殊性，构造生产可能集及其公理体系，由此定义生产前沿面，并建立DEA有效和生产前沿面之间的等价关系.通过构造一个多目标规划模型，建立该问题的Pareto有效解与DEA有效之间的等价关系.
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| 关 键 词： | 数据包络分析 二阶段加法DEA模型 中间要素 生产可能集 生产前沿面 DEA有效 |
| 收稿时间： | 2015-05-31 |
The production possibility set and frontierfor the two-stage additive DEA model |
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| WANG Xiaomin.The production possibility set and frontierfor the two-stage additive DEA model[J].OR Transactions,2015,19(3):131-139. |
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| Authors: | WANG Xiaomin |
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| Institution: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | This paper mainly focuses on the production possibility set and the production frontier for the two-stage additive DEA model. Based on the special status of the intermediate measures in the two-stage model, the production possibility set with a pair of intermediate measures and its axiom system are established. Then the production frontier is defined, which is proved to be equivalent to DEA efficiency. A multiobjective programming model is constructed to prove the equivalence of Pareto efficiency and DEA efficiency at last. |
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| Keywords: | data envelopment analysis two-stage additive model intermediate measures production possibility set productionfrontier DEA efficient |
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