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Mathematical Programs with Optimization Problems in the Constraints

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Cited by:

  1. Christine Tawfik & Sabine Limbourg, 2019. "A Bilevel Model for Network Design and Pricing Based on a Level-of-Service Assessment," Transportation Science, INFORMS, vol. 53(6), pages 1609-1626, November.
  2. Eduardo Mojica-Nava & Fredy Ruiz, 2021. "Stackelberg Population Dynamics: A Predictive-Sensitivity Approach," Games, MDPI, vol. 12(4), pages 1-15, November.
  3. Martine Labbé & Alessia Violin, 2016. "Bilevel programming and price setting problems," Annals of Operations Research, Springer, vol. 240(1), pages 141-169, May.
  4. Yunjia Ma & Wei Xu & Lianjie Qin & Xiujuan Zhao, 2019. "Site Selection Models in Natural Disaster Shelters: A Review," Sustainability, MDPI, vol. 11(2), pages 1-24, January.
  5. Jacquillat, Alexandre & Vaze, Vikrant & Wang, Weilong, 2022. "Primary versus secondary infrastructure capacity allocation mechanisms," European Journal of Operational Research, Elsevier, vol. 303(2), pages 668-687.
  6. Alexander Mitsos, 2010. "Global solution of nonlinear mixed-integer bilevel programs," Journal of Global Optimization, Springer, vol. 47(4), pages 557-582, August.
  7. G. Bento & J. Cruz Neto & J. Lopes & A. Soares Jr & Antoine Soubeyran, 2016. "Generalized Proximal Distances for Bilevel Equilibrium Problems," Post-Print hal-01690192, HAL.
  8. Yu, Jingjing & Tang, Guolei & Song, Xiangqun, 2022. "Collaboration of vessel speed optimization with berth allocation and quay crane assignment considering vessel service differentiation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
  9. Carlos Henggeler Antunes & Maria João Alves & Billur Ecer, 2020. "Bilevel optimization to deal with demand response in power grids: models, methods and challenges," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 814-842, October.
  10. Gabriel Lopez Zenarosa & Oleg A. Prokopyev & Eduardo L. Pasiliao, 2021. "On exact solution approaches for bilevel quadratic 0–1 knapsack problem," Annals of Operations Research, Springer, vol. 298(1), pages 555-572, March.
  11. Karabulut, Ezgi & Aras, Necati & Kuban Altınel, İ., 2017. "Optimal sensor deployment to increase the security of the maximal breach path in border surveillance," European Journal of Operational Research, Elsevier, vol. 259(1), pages 19-36.
  12. Tanınmış, Kübra & Aras, Necati & Altınel, I.K., 2019. "Influence maximization with deactivation in social networks," European Journal of Operational Research, Elsevier, vol. 278(1), pages 105-119.
  13. Thomas Kleinert & Martine Labbé & Fr¨ank Plein & Martin Schmidt, 2020. "Technical Note—There’s No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization," Operations Research, INFORMS, vol. 68(6), pages 1716-1721, November.
  14. Mejía-de-Dios, Jesús-Adolfo & Mezura-Montes, Efrén & Toledo-Hernández, Porfirio, 2022. "Pseudo-feasible solutions in evolutionary bilevel optimization: Test problems and performance assessment," Applied Mathematics and Computation, Elsevier, vol. 412(C).
  15. Hua Ke & Junjie Ma & Guangdong Tian, 2017. "Hybrid multilevel programming with uncertain random parameters," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 589-596, March.
  16. Allan Peñafiel Mera & Chandra Balijepalli, 2020. "Towards improving resilience of cities: an optimisation approach to minimising vulnerability to disruption due to natural disasters under budgetary constraints," Transportation, Springer, vol. 47(4), pages 1809-1842, August.
  17. Tawfik, Christine & Gendron, Bernard & Limbourg, Sabine, 2022. "An iterative two-stage heuristic algorithm for a bilevel service network design and pricing model," European Journal of Operational Research, Elsevier, vol. 300(2), pages 512-526.
  18. Cao, Cejun & Liu, Yang & Tang, Ou & Gao, Xuehong, 2021. "A fuzzy bi-level optimization model for multi-period post-disaster relief distribution in sustainable humanitarian supply chains," International Journal of Production Economics, Elsevier, vol. 235(C).
  19. Matthias Knauer, 2011. "Fast and save container cranes as bilevel optimal control problems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 18(4), pages 465-486, October.
  20. R. Paulavičius & C. S. Adjiman, 2020. "New bounding schemes and algorithmic options for the Branch-and-Sandwich algorithm," Journal of Global Optimization, Springer, vol. 77(2), pages 197-225, June.
  21. Hatim Djelassi & Moll Glass & Alexander Mitsos, 2019. "Discretization-based algorithms for generalized semi-infinite and bilevel programs with coupling equality constraints," Journal of Global Optimization, Springer, vol. 75(2), pages 341-392, October.
  22. Ke, Ginger Y. & Bookbinder, James H., 2018. "Coordinating the discount policies for retailer, wholesaler, and less-than-truckload carrier under price-sensitive demand: A tri-level optimization approach," International Journal of Production Economics, Elsevier, vol. 196(C), pages 82-100.
  23. Dajun Yue & Jiyao Gao & Bo Zeng & Fengqi You, 2019. "A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs," Journal of Global Optimization, Springer, vol. 73(1), pages 27-57, January.
  24. Massol, Olivier & Tchung-Ming, Stéphane & Banal-Estañol, Albert, 2015. "Joining the CCS club! The economics of CO2 pipeline projects," European Journal of Operational Research, Elsevier, vol. 247(1), pages 259-275.
  25. Ma, Yujie & Du, Gang & Jiao, Roger J., 2020. "Optimal crowdsourcing contracting for reconfigurable process planning in open manufacturing: A bilevel coordinated optimization approach," International Journal of Production Economics, Elsevier, vol. 228(C).
  26. Xuehong Gao, 2022. "A bi-level stochastic optimization model for multi-commodity rebalancing under uncertainty in disaster response," Annals of Operations Research, Springer, vol. 319(1), pages 115-148, December.
  27. Xiong, Yixuan & Du, Gang & Jiao, Roger J., 2018. "Modular product platforming with supply chain postponement decisions by leader-follower interactive optimization," International Journal of Production Economics, Elsevier, vol. 205(C), pages 272-286.
  28. Changhong Deng & Ning Liang & Jin Tan & Gongchen Wang, 2016. "Multi-Objective Scheduling of Electric Vehicles in Smart Distribution Network," Sustainability, MDPI, vol. 8(12), pages 1-15, November.
  29. Monge, Juan F. & Ruiz, José L., 2023. "Setting closer targets based on non-dominated convex combinations of Pareto-efficient units: A bi-level linear programming approach in Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 311(3), pages 1084-1096.
  30. Mofidi, Seyed Shahab & Pazour, Jennifer A., 2019. "When is it beneficial to provide freelance suppliers with choice? A hierarchical approach for peer-to-peer logistics platforms," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 1-23.
  31. Gang Du & Yi Xia & Roger J. Jiao & Xiaojie Liu, 2019. "Leader-follower joint optimization problems in product family design," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 1387-1405, March.
  32. Benoît Colson & Patrice Marcotte & Gilles Savard, 2007. "An overview of bilevel optimization," Annals of Operations Research, Springer, vol. 153(1), pages 235-256, September.
  33. García-Martínez, Jose A. & Mayor-Serra, Antonio J. & Meca, Ana, 2023. "Efficient effort equilibrium in cooperation with pairwise cost reduction," Omega, Elsevier, vol. 121(C).
  34. George E. Monahan, 1996. "Finding saddle points on polyhedra: Solving certain continuous minimax problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(6), pages 821-837, September.
  35. Beck, Yasmine & Ljubić, Ivana & Schmidt, Martin, 2023. "A survey on bilevel optimization under uncertainty," European Journal of Operational Research, Elsevier, vol. 311(2), pages 401-426.
  36. Christine Tawfik & Sabine Limbourg, 2018. "Pricing Problems in Intermodal Freight Transport: Research Overview and Prospects," Sustainability, MDPI, vol. 10(9), pages 1-22, September.
  37. Bo Zeng, 2020. "A Practical Scheme to Compute the Pessimistic Bilevel Optimization Problem," INFORMS Journal on Computing, INFORMS, vol. 32(4), pages 1128-1142, October.
  38. Yanikoglu, I., 2014. "Robust optimization methods for chance constrained, simulation-based, and bilevel problems," Other publications TiSEM 45826f7e-6e21-481e-889e-4, Tilburg University, School of Economics and Management.
  39. Chenlu Miao & Gang Du & Roger J. Jiao & Tiebin Zhang, 2017. "Coordinated optimisation of platform-driven product line planning by bilevel programming," International Journal of Production Research, Taylor & Francis Journals, vol. 55(13), pages 3808-3831, July.
  40. Jane J. Ye, 2006. "Constraint Qualifications and KKT Conditions for Bilevel Programming Problems," Mathematics of Operations Research, INFORMS, vol. 31(4), pages 811-824, November.
  41. Matteo Fischetti & Ivana Ljubić & Michele Monaci & Markus Sinnl, 2017. "A New General-Purpose Algorithm for Mixed-Integer Bilevel Linear Programs," Operations Research, INFORMS, vol. 65(6), pages 1615-1637, December.
  42. Lei Fang & Hecheng Li, 2013. "Lower bound of cost efficiency measure in DEA with incomplete price information," Journal of Productivity Analysis, Springer, vol. 40(2), pages 219-226, October.
  43. Ankur Sinha & Zhichao Lu & Kalyanmoy Deb & Pekka Malo, 2020. "Bilevel optimization based on iterative approximation of multiple mappings," Journal of Heuristics, Springer, vol. 26(2), pages 151-185, April.
  44. V. Balachandran & Edward A. Stohr, 1978. "Optimal Pricing of Computer Resources in a Competitive Environment," Discussion Papers 268, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  45. Rebeca Ramirez Acosta & Chathura Wanigasekara & Emilie Frost & Tobias Brandt & Sebastian Lehnhoff & Christof Büskens, 2023. "Integration of Intelligent Neighbourhood Grids to the German Distribution Grid: A Perspective," Energies, MDPI, vol. 16(11), pages 1-16, May.
  46. Dai, Jingqi & Li, Zongmin, 2023. "An equilibrium approach towards sustainable operation of a modern coal chemical industrial park," Omega, Elsevier, vol. 120(C).
  47. Ashenafi Woldemariam & Semu Kassa, 2015. "Systematic evolutionary algorithm for general multilevel Stackelberg problems with bounded decision variables (SEAMSP)," Annals of Operations Research, Springer, vol. 229(1), pages 771-790, June.
  48. Tilahun, Surafel Luleseged, 2019. "Feasibility reduction approach for hierarchical decision making with multiple objectives," Operations Research Perspectives, Elsevier, vol. 6(C).
  49. Shuang Ma & Gang Du & Jianxin (Roger) Jiao & Ruchuan Zhang, 2016. "Hierarchical game joint optimization for product family-driven modular design," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(12), pages 1496-1509, December.
  50. Juan Sebastian Roncancio & José Vuelvas & Diego Patino & Carlos Adrián Correa-Flórez, 2022. "Flower Greenhouse Energy Management to Offer Local Flexibility Markets," Energies, MDPI, vol. 15(13), pages 1-20, June.
  51. Tamás Kis & András Kovács & Csaba Mészáros, 2021. "On Optimistic and Pessimistic Bilevel Optimization Models for Demand Response Management," Energies, MDPI, vol. 14(8), pages 1-22, April.
  52. Thomas, Anu & Venkateswaran, Jayendran & Singh, Gaurav & Krishnamoorthy, Mohan, 2014. "A resource constrained scheduling problem with multiple independent producers and a single linking constraint: A coal supply chain example," European Journal of Operational Research, Elsevier, vol. 236(3), pages 946-956.
  53. Ni, Jingneng & Xu, Jiuping & Zhang, Mengxiang, 2018. "Constructed wetland modelling for watershed ecosystem protection under a certain economic load: A case study at the Chaohu Lake watershed, China," Ecological Modelling, Elsevier, vol. 368(C), pages 180-190.
  54. Casorrán, Carlos & Fortz, Bernard & Labbé, Martine & Ordóñez, Fernando, 2019. "A study of general and security Stackelberg game formulations," European Journal of Operational Research, Elsevier, vol. 278(3), pages 855-868.
  55. Syed Aqib Jalil & Shakeel Javaid & Syed Mohd Muneeb, 2018. "A decentralized multi-level decision making model for solid transportation problem with uncertainty," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(5), pages 1022-1033, October.
  56. Guangquan Zhang & Jie Lu, 2010. "Fuzzy bilevel programming with multiple objectives and cooperative multiple followers," Journal of Global Optimization, Springer, vol. 47(3), pages 403-419, July.
  57. Mustapha Kaci & Sonia Radjef, 2023. "An adaptive method to solve multilevel multiobjective linear programming problems," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(3), pages 29-44.
  58. Lu Gan & Dirong Xu & Xiuyun Chen & Pengyan Jiang & Benjamin Lev & Zongmin Li, 2023. "Sustainable portfolio re-equilibrium on wind-solar-hydro system: An integrated optimization with combined meta-heuristic," Energy & Environment, , vol. 34(5), pages 1383-1408, August.
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