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Nonlinear optimization in bi-level selective maintenance allocation problem

Authors: Mohammad Faisal Khan, Umar Muhammad Modibbo, Naeem Ahmad, Irfan Ali
Published in: Journal of King Saud University - Science, 34(4), 101933, 2022.
DOI: https://doi.org/10.1016/j.jksus.2022.101933
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Nested Bilevel Optimization for DERA Operation Strategy: A Stochastic Multiobjective IGDT Model With Hybrid Endogenous/Exogenous Scenarios

Authors: Mohsen Yazdaninejad, Nima Amjady, Nikos Hatziargyriou
Published in: IEEE Systems Journal, 1–12, 2021.
DOI: https://doi.org/10.1109/jsyst.2021.3085987
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Numerical Results

Authors: Neculai Andrei
Published in: A Derivative-free Two Level Random Search Method for Unconstrained Optimization, 43–60, 2021.
DOI: https://doi.org/10.1007/978-3-030-68517-1_4
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Necessary Optimality Conditions for Semi-vectorial Bi-level Optimization with Convex Lower Level: Theoretical Results and Applications to the Quadratic Case

Authors: Julien Collonge
Published in: Journal of the Operations Research Society of China, 2020.
DOI: https://doi.org/10.1007/s40305-020-00305-w
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Necessary optimality conditions for a semivectorial bilevel problem under a partial calmness condition

Authors: Stephan Dempe, Nazih Abderrazzak Gadhi, Mohammed El idrissi, Khadija Hamdaoui
Published in: Optimization, 1–21, 2020.
DOI: https://doi.org/10.1080/02331934.2020.1763991
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Numerically tractable optimistic bilevel problems

Authors: Lorenzo Lampariello, Simone Sagratella
Published in: Computational Optimization and Applications, 76(2), 277–303, 2020.
DOI: https://doi.org/10.1007/s10589-020-00178-y
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Network Planning with Bilevel optimization to Address Attacks to Physical Infrastructure of SDN

Authors: Qian Lv, Jing Zhu, Fen Zhou, Zuqing Zhu
Published in: ICC 2020 - 2020 IEEE International Conference on Communications (ICC), 2020.
DOI: https://doi.org/10.1109/icc40277.2020.9149042
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Neighbourhood Based Bi-Level Contrast Adjustment for Underwater Image Enhancement Using Modified Particle Swarm Optimization

Authors: Shouvik Paul, Sourav De, Sandip Dey
Published in: 2020 International Conference on Communication, Computing and Industry 4.0 (C2I4), 2020.
DOI: https://doi.org/10.1109/c2i451079.2020.9368902
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New concepts and an algorithm for multiobjective bilevel programming: optimistic, pessimistic and moderate solutions

Authors: Maria João Alves, Carlos Henggeler Antunes, João Paulo Costa
Published in: Operational Research, 2019.
DOI: https://doi.org/10.1007/s12351-019-00534-9
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New subgradient extragradient methods for solving monotone bilevel equilibrium problems

Authors: Pham Ngoc Anh, Le Thi Hoai An
Published in: Optimization, 68(11), 2099–2124, 2019.
DOI: https://doi.org/10.1080/02331934.2019.1656204
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New optimality conditions for bilevel programs by using an exact separation principle

Authors: N. Gadhi, S. Dempe, M. El Idrissi
Published in: Optimization Letters, 14(6), 1381–1392, 2019.
DOI: https://doi.org/10.1007/s11590-019-01443-8
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Newton-type multilevel optimization method

Authors: Chin Pang Ho, Michal Kočvara, Panos Parpas
Published in: Optimization Methods and Software, 1–34, 2019.
DOI: https://doi.org/10.1080/10556788.2019.1700256
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New optimality conditions and a scalarization approach for a nonconvex semi-vectorial bilevel optimization problem

Authors: L. Lafhim
Published in: Positivity, 24(2), 395–413, 2019.
DOI: https://doi.org/10.1007/s11117-019-00685-1
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Nested evolutionary algorithms for computationally expensive bilevel optimization problems: Variants and their systematic analysis

Authors: Hemant Kumar Singh, Md Monjurul Islam, Tapabrata Ray, Michael Ryan
Published in: Swarm and Evolutionary Computation, 48, 329–344, 2019.
DOI: https://doi.org/10.1016/j.swevo.2019.05.002
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New necessary and sufficient optimality conditions for strong bilevel programming problems

Authors: Abdelmalek Aboussoror, Samir Adly
Published in: Journal of Global Optimization, 70(2), 309–327, 2018.
DOI: https://doi.org/10.1007/s10898-018-0606-5
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Necessary optimality conditions for a bilevel multiobjective programming problem via a Ψ-reformulation

Authors: L. Lafhim, N. Gadhi, K. Hamdaoui, F. Rahou
Published in: Optimization, 67(12), 2179–2189, 2018.
DOI: https://doi.org/10.1080/02331934.2018.1523402
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Nondifferentiable and Bilevel Optimization

Authors: Boris S. Mordukhovich
Published in: Springer Monographs in Mathematics, 219–258, 2018.
DOI: https://doi.org/10.1007/978-3-319-92775-6_6
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Narrow Bandwidth Tunable Watt Level Tm:YAP Laser using Two Etalons

Authors: Uzziel Sheintop, Eytan Perez, Salman Noach
Published in: Proceedings of the 6th International Conference on Photonics, Optics and Laser Technology, 2018.
DOI: https://doi.org/10.5220/0006721403030307
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Nonlinear dynamics of discrete time multi-level leader–follower games

Authors: Ruijia Wu, Robert A. Van Gorder
Published in: Applied Mathematics and Computation, 320, 240–250, 2018.
DOI: https://doi.org/10.1016/j.amc.2017.09.034
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Nested Differential Evolution for Mixed-Integer Bi-level Optimization for Genome-Scale Metabolic Networks

Authors: Feng-Sheng Wang
Published in: Advances in Process Systems Engineering, 352–376, 2017.
DOI: https://doi.org/10.1142/9789813207523_0012
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Nested bilevel genetic algorithms for game-theoretic optimization of product line design considering competition

Authors: Xiaojie Liu, Gang Du, Roger J. Jiao, Yi Xia
Published in: 2017 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), 2017.
DOI: https://doi.org/10.1109/ieem.2017.8290248
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Necessary optimality conditions for a special class of bilevel programming problems with unique lower level solution

Authors: Patrick Mehlitz
Published in: Optimization, 66(10), 1533–1562, 2017.
DOI: https://doi.org/10.1080/02331934.2017.1349123
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New Approach of Game Theory for Seller’s Price Selecting Strategies in Bi-Level Programming

Authors: Kamran Shahanaghi, Maryam Keyvani Rad
Published in: Modern Applied Science, 10(4), 76, 2016.
DOI: https://doi.org/10.5539/mas.v10n4p76
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Node Placement Optimization in Wireless Powered Communication Networks

Authors: Suzhi Bi, Rui Zhang
Published in: 2015 IEEE Global Communications Conference (GLOBECOM), 2015.
DOI: https://doi.org/10.1109/glocom.2015.7417193
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Node Placement Optimization in Wireless Powered Communication Networks

Authors: Suzhi Bi, Rui Zhang
Published in: 2015 IEEE Global Communications Conference (GLOBECOM), 2014.
DOI: https://doi.org/10.1109/glocom.2014.7417193
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Necessary optimality conditions for optimistic bilevel programming problems using set-valued programming

Authors: Stephan Dempe, Maria Pilecka
Published in: Journal of Global Optimization, 61(4), 769–788, 2014.
DOI: https://doi.org/10.1007/s10898-014-0200-4
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Neural network for solving convex quadratic bilevel programming problems

Authors: Xing He, Chuandong Li, Tingwen Huang, Chaojie Li
Published in: Neural Networks, 51, 17–25, 2014.
DOI: https://doi.org/10.1016/j.neunet.2013.11.015
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Necessary optimality conditions in pessimistic bilevel programming

Authors: S. Dempe, B.S. Mordukhovich, A.B. Zemkoho
Published in: Optimization, 63(4), 505–533, 2012.
DOI: https://doi.org/10.1080/02331934.2012.696641
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Necessary Optimality Conditions and a New Approach to Multiobjective Bilevel Optimization Problems

Authors: N. Gadhi, S. Dempe
Published in: Journal of Optimization Theory and Applications, 155(1), 100–114, 2012.
DOI: https://doi.org/10.1007/s10957-012-0046-1
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Nonlinear robust optimization via sequential convex bilevel programming

Authors: Boris Houska, Moritz Diehl
Published in: Mathematical Programming, 142(1-2), 539–577, 2012.
DOI: https://doi.org/10.1007/s10107-012-0591-2
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Neural Network Approach for Semivectorial Bilevel Programming Problem

Authors: Yibing Lv
Published in: 2012 4th International Conference on Intelligent Human-Machine Systems and Cybernetics, 2012.
DOI: https://doi.org/10.1109/ihmsc.2012.103
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Necessary optimality conditions for bilevel minimization problems

Authors: Alexander J. Zaslavski
Published in: Nonlinear Analysis: Theory, Methods & Applications, 75(3), 1655–1678, 2012.
DOI: https://doi.org/10.1016/j.na.2011.03.049
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Necessary Optimality Conditions for Multiobjective Bilevel Programs

Authors: Jane J. Ye
Published in: Mathematics of Operations Research, 36(1), 165–184, 2011.
DOI: https://doi.org/10.1287/moor.1100.0480
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Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization

Authors: Serge Gratton, Mélodie Mouffe, Annick Sartenaer, Philippe L. Toint, Dimitri Tomanos
Published in: Optimization Methods and Software, 25(3), 359–386, 2010.
DOI: https://doi.org/10.1080/10556780903239295
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Natural gas cash-out problem: Bilevel stochastic optimization approach

Authors: Vyacheslav V. Kalashnikov, Gerardo A. Pérez-Valdés, Asgeir Tomasgard, Nataliya I. Kalashnykova
Published in: European Journal of Operational Research, 206(1), 18–33, 2010.
DOI: https://doi.org/10.1016/j.ejor.2010.02.018
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New Necessary Optimality Conditions for Bilevel Programs by Combining the MPEC and Value Function Approaches

Authors: Jane J. Ye, Daoli Zhu
Published in: SIAM Journal on Optimization, 20(4), 1885–1905, 2010.
DOI: https://doi.org/10.1137/080725088
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Necessary Conditions for Bilevel Multiobjective Programming Problems

Authors: Yulan Liu
Published in: 2009 International Conference on Computational Intelligence and Software Engineering, 2009.
DOI: https://doi.org/10.1109/cise.2009.5366487
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Nonsmooth Bilevel Programming for Hyperparameter Selection

Authors: Gregory M. Moore, Charles Bergeron, Kristin P. Bennett
Published in: 2009 IEEE International Conference on Data Mining Workshops, 2009.
DOI: https://doi.org/10.1109/icdmw.2009.74
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Necessary optimality conditions of a D.C. set-valued bilevel optimization problem

Authors: S. Dempe, N. Gadhi
Published in: Optimization, 57(6), 777–793, 2008.
DOI: https://doi.org/10.1080/02331930701761508
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Neural networks for a class of bi-level variational inequalities

Authors: M. H. Xu, M. Li, C. C. Yang
Published in: Journal of Global Optimization, 44(4), 535–552, 2008.
DOI: https://doi.org/10.1007/s10898-008-9355-1
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New Branch-and-Cut Algorithm for Bilevel Linear Programming

Authors: C. Audet, G. Savard, W. Zghal
Published in: Journal of Optimization Theory and Applications, 134(2), 353–370, 2007.
DOI: https://doi.org/10.1007/s10957-007-9263-4
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New necessary optimality conditions in optimistic bilevel programming

Authors: S. Dempe, J. Dutta, B. S. Mordukhovich
Published in: Optimization, 56(5-6), 577–604, 2007.
DOI: https://doi.org/10.1080/02331930701617551
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Necessary Optimality Conditions for Bilevel Optimization Problems Using Convexificators

Authors: H. Babahadda, N. Gadhi
Published in: Journal of Global Optimization, 34(4), 535–549, 2006.
DOI: https://doi.org/10.1007/s10898-005-1650-5
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Nondifferentiable Multiplier Rules for Optimization and Bilevel Optimization Problems

Authors: Jane J. Ye
Published in: SIAM Journal on Optimization, 15(1), 252–274, 2004.
DOI: https://doi.org/10.1137/s1052623403424193
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Noniterative Coordination in Multilevel Systems

Authors: Todor Stoilov, Krassimira Stoilova
Published in: Nonconvex Optimization and Its Applications, 1999.
DOI: https://doi.org/10.1007/978-94-009-0017-2
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Nonlinear Programming

Authors: Jonathan F. Bard
Published in: Practical Bilevel Optimization, 137–192, 1998.
DOI: https://doi.org/10.1007/978-1-4757-2836-1_4
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Necessary Conditions for Bilevel Dynamic Optimization Problems

Authors: Jane J. Ye
Published in: SIAM Journal on Control and Optimization, 33(4), 1208–1223, 1995.
DOI: https://doi.org/10.1137/s0363012993249717
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NONMARKET RESOURCE VALUATION: A BILEVEL OPTIMIZATION APPROACH

Authors: Hayri Önal, Vijay Muralidaran
Published in: Natural Resource Modeling, 9(4), 341–357, 1995.
DOI: https://doi.org/10.1111/j.1939-7445.1995.tb00205.x
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Nonlinear integer bilevel programming

Authors: Rong-Hong Jan, Maw-Sheng Chern
Published in: European Journal of Operational Research, 72(3), 574–587, 1994.
DOI: https://doi.org/10.1016/0377-2217(94)90424-3
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New results on approximate solution in two-level optimization

Authors: P Loridan, Jacqueline Morgan
Published in: Optimization, 20(6), 819–836, 1989.
DOI: https://doi.org/10.1080/02331938908843503
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Network design problem with congestion effects: A case of bilevel programming

Authors: P. Marcotte
Published in: Mathematical Programming, 34(2), 142–162, 1986.
DOI: https://doi.org/10.1007/bf01580580
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Bilevel Optimization Repository