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Optimization Methods and Software Volume 28, 2013 - Issue 1
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Original Articles

On the computation of relaxed pessimistic solutions to MPECs

M. Červinka Institute of Information Theory and Automation AS CR, Pod Vodárenskou věží 4, 182 08, Prague, 8, Czech RepublicCorrespondence[email protected]
,
C. Matonoha Institute of Computer Science AS CR, Pod Vodárenskou věží 2, 182 07, Prague, 8, Czech Republic
&
J. V. Outrata Institute of Information Theory and Automation AS CR, Pod Vodárenskou věží 4, 182 08, Prague, 8, Czech Republic
Pages 186-206 | Received 03 Dec 2010, Accepted 23 Sep 2011, Published online: 28 Oct 2011

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Stephan Dempe, Boris S. Mordukhovich & Alain B. Zemkoho. (2019) Two-level value function approach to non-smooth optimistic and pessimistic bilevel programs. Optimization 68:2-3, pages 433-455.
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Yue Zheng, Debin Fang & Zhongping Wan. (2016) A solution approach to the weak linear bilevel programming problems. Optimization 65:7, pages 1437-1449.
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Articles from other publishers (9)

Xiang Li, Tiesong Hu, Xin Wang, Ali Mahmoud & Xiang Zeng. (2023) The New Solution Concept to Ill-Posed Bilevel Programming: Non-Antagonistic Pessimistic Solution. Mathematics 11:6, pages 1422.
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Leiqiang Sun, Jinwu Zhuang, Zhiyong Lv, Cheng Chen, Chong Wang, Wenjiao Ma, Jin Wu, Ningzhao Luo, Danyang Yue & Xiaoyang Liao. (2021) Miniaturization design of closing electromagnet for fast contact mechanism of DC circuit breaker in power grid. Journal of Physics: Conference Series 2033:1, pages 012059.
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Bo Zeng. (2020) A Practical Scheme to Compute the Pessimistic Bilevel Optimization Problem. INFORMS Journal on Computing.
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June Liu, Yunfei Hong & Yue Zheng. (2018) A Branch and Bound-Based Algorithm for the Weak Linear Bilevel Programming Problems. Wuhan University Journal of Natural Sciences 23:6, pages 480-486.
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Yue Zheng, Guangquan Zhang, Zhen Zhang & Jie Lu. (2018) A reducibility method for the weak linear bilevel programming problems and a case study in principal-agent. Information Sciences 454-455, pages 46-58.
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Yue Zheng, Xiangzhi Zhuo & Jingxiao Chen. (2017) Maximum entropy approach for solving pessimistic bilevel programming problems. Wuhan University Journal of Natural Sciences 22:1, pages 63-67.
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Yue Zheng, Zhihui Zhu & Liuyang Yuan. (2016) Partially-shared pessimistic bilevel multi-follower programming: concept, algorithm, and application. Journal of Inequalities and Applications 2016:1.
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Alain B. Zemkoho. (2016) Solving Ill-posed Bilevel Programs. Set-Valued and Variational Analysis 24:3, pages 423-448.
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D. Dorsch, H. T. Jongen & V. Shikhman. (2012) On Intrinsic Complexity of Nash Equilibrium Problems and Bilevel Optimization. Journal of Optimization Theory and Applications 159:3, pages 606-634.
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