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A survey on bilevel optimization under uncertainty

Citations

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Cited by:

  1. Julia Grübel & Richard Krug & Martin Schmidt & Winnifried Wollner, 2023. "A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 1077-1117, September.
  2. Alcántara, Antonio & Ruiz, Carlos, 2024. "Optimal day-ahead offering strategy for large producers based on market price response learning," European Journal of Operational Research, Elsevier, vol. 319(3), pages 891-907.
  3. Wu, Qunli & Li, Chunxiang, 2024. "A bi-level optimization framework for the power-side virtual power plant participating in day-ahead wholesale market as a price-maker considering uncertainty," Energy, Elsevier, vol. 304(C).
  4. Shisheng Cui & Uday V. Shanbhag & Mathias Staudigl, 2025. "A Regularized Variance-Reduced Modified Extragradient Method for Stochastic Hierarchical Games," Journal of Optimization Theory and Applications, Springer, vol. 206(1), pages 1-53, July.
  5. Leonardo Lozano & Juan S. Borrero, 2025. "A Bilevel Optimization Approach for a Class of Combinatorial Problems with Disruptions and Probing," INFORMS Journal on Computing, INFORMS, vol. 37(6), pages 1478-1499, November.
  6. J. E. Beasley, 2024. "An optimal algorithm for variable knockout problems," 4OR, Springer, vol. 22(4), pages 419-433, December.
  7. Beraldi, Patrizia, 2024. "Green retailer: A stochastic bi-level approach to support investment decisions in sustainable energy systems," Operations Research Perspectives, Elsevier, vol. 12(C).
  8. Clautiaux, François & Ljubić, Ivana, 2025. "Last fifty years of integer linear programming: A focus on recent practical advances," European Journal of Operational Research, Elsevier, vol. 324(3), pages 707-731.
  9. Zhao, Xiaoyao & Sun, Xuting, 2026. "Data-driven collaborative optimization between the airline and maintenance service provider: A Bi-level acceleration framework," Journal of Air Transport Management, Elsevier, vol. 132(C).
  10. Wang, Jinpei & Bai, Xuejie & Liu, Yankui, 2025. "Building sustainable hazardous products supply chain against ambiguous risk with accelerated Benders decomposition algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 194(C).
  11. Zhen, Juntao & Zhao, Laijun & Wang, Chenchen & Cheng, Youfeng & Yi, Hongru & Wang, Ke, 2026. "A bi-level multi-objective optimization model for cross-provincial transfer fees to promote cooperation in renewable energy consumption," Utilities Policy, Elsevier, vol. 98(C).
  12. Jacquet, Quentin & van Ackooij, Wim & Alasseur, Clémence & Gaubert, Stéphane, 2024. "Quadratic regularization of bilevel pricing problems and application to electricity retail markets," European Journal of Operational Research, Elsevier, vol. 313(3), pages 841-857.
  13. Blom, Danny & Smeulders, Bart & Spieksma, Frits, 2024. "Rejection-proof mechanisms for multi-agent kidney exchange," Games and Economic Behavior, Elsevier, vol. 143(C), pages 25-50.
  14. Ioana Molan & Martin Schmidt & Johannes Thürauf, 2025. "Learning the follower’s objective function in sequential bilevel games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 102(2), pages 291-323, December.
  15. Yasmine Beck & Ivana Ljubić & Martin Schmidt, 2026. "Heuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems," INFORMS Journal on Computing, INFORMS, vol. 38(1), pages 165-188, January.
  16. Shabnam Mahmoudzadeh Vaziri & Onur Kuzgunkaya & Navneet Vidyarthi, 2025. "An Exact Algorithm for Multicommodity Network Design Under Stochastic Interdictions," INFORMS Journal on Computing, INFORMS, vol. 37(6), pages 1518-1541, November.
  17. Weller, Paula & Oliveira, Fabricio, 2025. "Streamlining emergency response: A K-adaptable model and a column-and-constraint-generation algorithm," European Journal of Operational Research, Elsevier, vol. 324(3), pages 925-940.
  18. Liu, Yuanchao & Zheng, Ruifan & Shen, Rendong & Zhao, Jun & Shi, Zekun & Wang, Guangliang & Yang, Dongfang & Li, Yang, 2025. "Research on capacity configuration optimization of integrated energy system by integrating energy hub and response surface methodology," Energy, Elsevier, vol. 330(C).
  19. Faraji, Jamal & Allard, Julien & Vallée, François & De Grève, Zacharie, 2025. "On the limited observability of energy community members: An uncertainty-aware near-optimal bilevel programming approach," Applied Energy, Elsevier, vol. 381(C).
  20. Fernández, Elena & Ljubić, Ivana & Zerega, Nicolás, 2025. "The multi-commodity flow problem with outsourcing decisions," Transportation Research Part B: Methodological, Elsevier, vol. 201(C).
  21. Wang, Qi & Liu, Yankui & Zhang, Guoqing, 2026. "Robust design and pricing of electric vehicle battery reuse network by tailored branch-and-cut algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 207(C).
  22. Amin Ahmadi Digehsara & Amir Ardestani-Jaafari & Shumail Mazahir & Michel Fathi, 2024. "Two-stage nodal network interdiction under decision-dependent uncertainty," Annals of Operations Research, Springer, vol. 335(2), pages 665-687, April.
  23. Yasmine Beck & Daniel Bienstock & Martin Schmidt & Johannes Thürauf, 2023. "On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level," Journal of Optimization Theory and Applications, Springer, vol. 198(1), pages 428-447, July.
  24. Immanuel Bomze & Andreas Horländer & Martin Schmidt, 2025. "Mixed-Integer Bilevel Optimization with Nonconvex Quadratic Lower-Level Problems: Complexity and a Solution Method," Journal of Global Optimization, Springer, vol. 93(1), pages 1-25, September.
  25. Mathieu Besançon & Miguel F. Anjos & Luce Brotcorne, 2024. "Robust bilevel optimization for near-optimal lower-level solutions," Journal of Global Optimization, Springer, vol. 90(4), pages 813-842, December.
  26. Cardoso de Oliveira, Glauber & Bertone, Edoardo & Stewart, Rodney A. & Sanjari, Mohammad J. & Bortoni, Edson C., 2025. "Adaptive nested robust multi-objective optimisation for integrated precinct-scale energy–water system planning," Energy, Elsevier, vol. 332(C).
  27. Puming Wang & Liqin Zheng & Tianyi Diao & Shengquan Huang & Xiaoqing Bai, 2023. "Robust Bilevel Optimal Dispatch of Park Integrated Energy System Considering Renewable Energy Uncertainty," Energies, MDPI, vol. 16(21), pages 1-23, October.
  28. Jiayi Xu & Mario Di Nardo & Shi Yin, 2024. "Improved Swarm Intelligence-Based Logistics Distribution Optimizer: Decision Support for Multimodal Transportation of Cross-Border E-Commerce," Mathematics, MDPI, vol. 12(5), pages 1-20, March.
  29. Didier Aussel & Daniel Lasluisa & David Salas, 2025. "Cardinality Constraints in Single-Leader-Multi-Follower Games," Journal of Optimization Theory and Applications, Springer, vol. 206(1), pages 1-27, July.
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