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Computational Difficulties of Bilevel Linear Programming

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  1. Sinha, Surabhi & Sinha, S. B., 2002. "KKT transformation approach for multi-objective multi-level linear programming problems," European Journal of Operational Research, Elsevier, vol. 143(1), pages 19-31, November.
  2. Mobini, Zahra & van den Heuvel, Wilco & Wagelmans, Albert, 2019. "Designing multi-period supply contracts in a two-echelon supply chain with asymmetric information," European Journal of Operational Research, Elsevier, vol. 277(2), pages 542-560.
  3. Zhang, Bowen & Dong, Yucheng & Zhang, Hengjie & Pedrycz, Witold, 2020. "Consensus mechanism with maximum-return modifications and minimum-cost feedback: A perspective of game theory," European Journal of Operational Research, Elsevier, vol. 287(2), pages 546-559.
  4. Puchit Sariddichainunta & Masahiro Inuiguchi, 2017. "Global optimality test for maximin solution of bilevel linear programming with ambiguous lower-level objective function," Annals of Operations Research, Springer, vol. 256(2), pages 285-304, September.
  5. Afkham, Maryam & Ramezanian, Reza & Shahparvari, Shahrooz, 2022. "Balancing traffic flow in the congested mass self-evacuation dynamic network under tight preparation budget: An Australian bushfire practice," Omega, Elsevier, vol. 111(C).
  6. Aihong Ren & Yuping Wang, 2014. "A cutting plane method for bilevel linear programming with interval coefficients," Annals of Operations Research, Springer, vol. 223(1), pages 355-378, December.
  7. Barahimi, Amir Hossein & Eydi, Alireza & Aghaie, Abdolah, 2021. "Multi-modal urban transit network design considering reliability: multi-objective bi-level optimization," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  8. Fontaine, Pirmin & Minner, Stefan, 2014. "Benders Decomposition for Discrete–Continuous Linear Bilevel Problems with application to traffic network design," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 163-172.
  9. 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.
  10. Rashidi, Eghbal & Parsafard, Mohsen & Medal, Hugh & Li, Xiaopeng, 2016. "Optimal traffic calming: A mixed-integer bi-level programming model for locating sidewalks and crosswalks in a multimodal transportation network to maximize pedestrians’ safety and network usability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 33-50.
  11. Chi-Bin Cheng & Hsu-Shih Shih & Boris Chen, 2017. "Subsidy rate decisions for the printer recycling industry by bi-level optimization techniques," Operational Research, Springer, vol. 17(3), pages 901-919, October.
  12. Zhineng Hu & Shiyu Yan & Chengwei Lv & Liming Yao, 2019. "Sustainable development oriented bi-level dynamic programming method toward the coal–water conflict in China," Energy & Environment, , vol. 30(8), pages 1396-1436, December.
  13. Lizhi Wang, 2013. "Branch-and-bound algorithms for the partial inverse mixed integer linear programming problem," Journal of Global Optimization, Springer, vol. 55(3), pages 491-506, March.
  14. Liu, Yi-Hsin & Spencer, Thomas H., 1995. "Solving a bilevel linear program when the inner decision maker controls few variables," European Journal of Operational Research, Elsevier, vol. 81(3), pages 644-651, March.
  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. Fontaine, Pirmin & Crainic, Teodor Gabriel & Gendreau, Michel & Minner, Stefan, 2020. "Population-based risk equilibration for the multimode hazmat transport network design problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 188-200.
  17. Daisik Nam & Minyoung Park, 2020. "Improving the Operational Efficiency of Parcel Delivery Network with a Bi-Level Decision Making Model," Sustainability, MDPI, vol. 12(19), pages 1-19, September.
  18. Mathur, Kanchan & Puri, M. C., 1995. "A bilevel bottleneck programming problem," European Journal of Operational Research, Elsevier, vol. 86(2), pages 337-344, October.
  19. Budnitzki, Alina, 2014. "Computation of the optimal tolls on the traffic network," European Journal of Operational Research, Elsevier, vol. 235(1), pages 247-251.
  20. Aussel, Didier & Brotcorne, Luce & Lepaul, Sébastien & von Niederhäusern, Léonard, 2020. "A trilevel model for best response in energy demand-side management," European Journal of Operational Research, Elsevier, vol. 281(2), pages 299-315.
  21. Hong Zheng & Xiaozheng He & Yongfu Li & Srinivas Peeta, 2017. "Traffic Equilibrium and Charging Facility Locations for Electric Vehicles," Networks and Spatial Economics, Springer, vol. 17(2), pages 435-457, June.
  22. Xianyue Li & Ruowang Yang & Heping Zhang & Zhao Zhang, 2022. "Partial inverse maximum spanning tree problem under the Chebyshev norm," Journal of Combinatorial Optimization, Springer, vol. 44(5), pages 3331-3350, December.
  23. Jiuping Xu & Lurong Fan & Chengwei Lv, 2017. "Equilibrium Strategy Based Recycling Facility Site Selection towards Mitigating Coal Gangue Contamination," Sustainability, MDPI, vol. 9(2), pages 1-27, February.
  24. Fontaine, Pirmin & Minner, Stefan, 2018. "Benders decomposition for the Hazmat Transport Network Design Problem," European Journal of Operational Research, Elsevier, vol. 267(3), pages 996-1002.
  25. Hosseininasab, Seyyed-Mohammadreza & Shetab-Boushehri, Seyyed-Nader, 2015. "Integration of selecting and scheduling urban road construction projects as a time-dependent discrete network design problem," European Journal of Operational Research, Elsevier, vol. 246(3), pages 762-771.
  26. Frangioni, Antonio, 1995. "On a new class of bilevel programming problems and its use for reformulating mixed integer problems," European Journal of Operational Research, Elsevier, vol. 82(3), pages 615-646, May.
  27. Benoît Colson & Patrice Marcotte & Gilles Savard, 2007. "An overview of bilevel optimization," Annals of Operations Research, Springer, vol. 153(1), pages 235-256, September.
  28. Timonina-Farkas, Anna & Katsifou, Argyro & Seifert, Ralf W., 2020. "Product assortment and space allocation strategies to attract loyal and non-loyal customers," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1058-1076.
  29. Kovacevic, Raimund M. & Pflug, Georg Ch., 2014. "Electricity swing option pricing by stochastic bilevel optimization: A survey and new approaches," European Journal of Operational Research, Elsevier, vol. 237(2), pages 389-403.
  30. Geunes, Joseph & Romeijn, H. Edwin & van den Heuvel, Wilco, 2016. "Improving the efficiency of decentralized supply chains with fixed ordering costs," European Journal of Operational Research, Elsevier, vol. 252(3), pages 815-828.
  31. Jean Etoa, 2010. "Solving convex quadratic bilevel programming problems using an enumeration sequential quadratic programming algorithm," Journal of Global Optimization, Springer, vol. 47(4), pages 615-637, August.
  32. Kübra Tanınmış & Markus Sinnl, 2022. "A Branch-and-Cut Algorithm for Submodular Interdiction Games," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2634-2657, September.
  33. Florensa, Carlos & Garcia-Herreros, Pablo & Misra, Pratik & Arslan, Erdem & Mehta, Sanjay & Grossmann, Ignacio E., 2017. "Capacity planning with competitive decision-makers: Trilevel MILP formulation, degeneracy, and solution approaches," European Journal of Operational Research, Elsevier, vol. 262(2), pages 449-463.
  34. Li Li & Sridhar Tayur, 2005. "Medium-Term Pricing and Operations Planning in Intermodal Transportation," Transportation Science, INFORMS, vol. 39(1), pages 73-86, February.
  35. 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.
  36. Xianyue Li & Zhao Zhang & Ruowang Yang & Heping Zhang & Ding-Zhu Du, 2020. "Approximation algorithms for capacitated partial inverse maximum spanning tree problem," Journal of Global Optimization, Springer, vol. 77(2), pages 319-340, June.
  37. Amit Kumar & Sabyasachee Mishra & Huan Ngo, 2023. "Dynamic Wireless Charging Facility Location Problem for Battery Electric Vehicles under Electricity Constraint," Networks and Spatial Economics, Springer, vol. 23(3), pages 679-713, September.
  38. T. D. Chuong & V. Jeyakumar, 2017. "Finding Robust Global Optimal Values of Bilevel Polynomial Programs with Uncertain Linear Constraints," Journal of Optimization Theory and Applications, Springer, vol. 173(2), pages 683-703, May.
  39. Saeed Asadi Bagloee & Majid Sarvi & Avishai Ceder, 2017. "Transit priority lanes in the congested road networks," Public Transport, Springer, vol. 9(3), pages 571-599, October.
  40. Mahmoudi, Reza & Shetab-Boushehri, Seyyed-Nader & Hejazi, Seyed Reza & Emrouznejad, Ali & Rajabi, Parisa, 2019. "A hybrid egalitarian bargaining game-DEA and sustainable network design approach for evaluating, selecting and scheduling urban road construction projects," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 161-183.
  41. Bagloee, Saeed Asadi & Sarvi, Majid & Wolshon, Brian & Dixit, Vinayak, 2017. "Identifying critical disruption scenarios and a global robustness index tailored to real life road networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 98(C), pages 60-81.
  42. Ziyou, Gao & Yifan, Song, 2002. "A reserve capacity model of optimal signal control with user-equilibrium route choice," Transportation Research Part B: Methodological, Elsevier, vol. 36(4), pages 313-323, May.
  43. Cheng, Chi-Bin, 2011. "Reverse auction with buyer-supplier negotiation using bi-level distributed programming," European Journal of Operational Research, Elsevier, vol. 211(3), pages 601-611, June.
  44. 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.
  45. Pramanik, Surapati & Roy, Tapan Kumar, 2007. "Fuzzy goal programming approach to multilevel programming problems," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1151-1166, January.
  46. Jonathan Eckstein & Deniz Eskandani & Jingnan Fan, 2016. "Multilevel Optimization Modeling for Risk-Averse Stochastic Programming," INFORMS Journal on Computing, INFORMS, vol. 28(1), pages 112-128, February.
  47. Pirmin Fontaine & Stefan Minner, 2017. "A dynamic discrete network design problem for maintenance planning in traffic networks," Annals of Operations Research, Springer, vol. 253(2), pages 757-772, June.
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