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| Bilevel Programs with Multiple Potential Reactions | |
| 引用本文： | WANG Qian and WANG Shouyang Institute of Systems Science,Chinese Academy of Science.Beijing 100080,China. Bilevel Programs with Multiple Potential Reactions[J]. 系统科学与系统工程学报(英文版), 1994, 0(3) |
| 作者姓名： | WANG Qian and WANG Shouyang Institute of Systems Science Chinese Academy of Science.Beijing 100080 China |
| 作者单位： | WANG Qian and WANG Shouyang Institute of Systems Science，Chinese Academy of Science.Beijing 100080，China |
| 摘 要： | ＢｉｌｅｖｅｌＰｒｏｇｒａｍｓｗｉｔｈＭｕｌｔｉｐｌｅＰｏｔｅｎｔｉａｌＲｅａｃｔｉｏｎｓＷＡＮＧＱｉａｎａｎｄＷＡＮＧＳｈｏｕｙａｎｇＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅ．Ｂｅｉｊｉｎｇ... |
Bilevel Programs with Multiple Potential Reactions |
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| WANG Qian and WANG Shouyang Institute of Systems Science,Chinese Academy of Science. Bilevel Programs with Multiple Potential Reactions[J]. Journal of Systems Science and Systems Engineering, 1994, 0(3) | |
| Authors: | WANG Qian WANG Shouyang Institute of Systems Science Chinese Academy of Science |
| Affiliation: | WANG Qian and WANG Shouyang Institute of Systems Science,Chinese Academy of Science.Beijing 100080,China |
| 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. |
| Keywords: | Bilevel programming point-to-set mapping open mapping linear programming |
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