| Bilevel Programs with Multiple Potential Reactions |
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| 作者姓名： | WANG Qian and WANG Shouyang Institute of Systems Science Chinese Academy of Science.Beijing China |
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| 作者单位： | WANG Qian and WANG Shouyang Institute of Systems Science，Chinese Academy of Science.Beijing 100080，China |
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| 摘 要： | ＢｉｌｅｖｅｌＰｒｏｇｒａｍｓｗｉｔｈＭｕｌｔｉｐｌｅＰｏｔｅｎｔｉａｌＲｅａｃｔｉｏｎｓＷＡＮＧＱｉａｎａｎｄＷＡＮＧＳｈｏｕｙａｎｇＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅ．Ｂｅｉｊｉｎｇ...
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Bilevel Programs with Multiple Potential Reactions |
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| WANG Qian and WANG Shouyang Institute of Systems Science,Chinese Academy of Science.Beijing ,China.Bilevel Programs with Multiple Potential Reactions[J].Journal of Systems Science and Systems Engineering,1994(3). |
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| Authors: | WANG Qian and WANG Shouyang Institute of Systems Science Chinese Academy of Science |
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| Institution: | WANG Qian and WANG Shouyang Institute of Systems Science,Chinese Academy of Science.Beijing 100080,China |
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| Abstract: | In this paper,we study linear bilevel programming without the assumption that the reaction set of the follower is a singleton.Several properties of the feasible region of the leader are presented.A new solution concept is introduced to deal with the uncertainty resulting from multiple potential reactions of the follower.To solve a bilevel program with multiple potential reactions,we propose,meadod to transform the original problem into a bilevel programming proproblem which can be solved by some known algorithms. |
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| Keywords: | Bilevel programming point-to-set mapping open mapping linear programming |
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