A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs
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Fengqi You | Dajun Yue | Bo Zeng | Jiyao Gao
[1] Jonathan F. Bard,et al. An algorithm for the mixed-integer nonlinear bilevel programming problem , 1992, Ann. Oper. Res..
[2] R. Tütüncü,et al. Adjustable Robust Optimization Models for a Nonlinear Two-Period System , 2008 .
[3] H. Stackelberg,et al. Marktform und Gleichgewicht , 1935 .
[4] Berç Rustem,et al. A global optimization algorithm for generalized semi-infinite, continuous minimax with coupled constraints and bi-level problems , 2009, J. Glob. Optim..
[5] Jonathan F. Bard,et al. Practical Bilevel Optimization: Algorithms and Applications , 1998 .
[6] Efstratios N. Pistikopoulos,et al. Multiparametric programming based algorithms for pure integer and mixed-integer bilevel programming problems , 2010, Comput. Chem. Eng..
[7] Richard E. Rosenthal,et al. GAMS -- A User's Guide , 2004 .
[8] Claire S. Adjiman,et al. A generalization of the Branch-and-Sandwich algorithm: From continuous to mixed-integer nonlinear bilevel problems , 2015, Comput. Chem. Eng..
[9] Stephan Dempe,et al. Discrete Bilevel Optimization Problems , 2001 .
[10] Pierre-Louis Poirion,et al. Bilevel mixed-integer linear programs and the zero forcing set ? , 2015 .
[11] Ignacio E. Grossmann,et al. Capacity planning with competitive decision-makers: Trilevel MILP formulation, degeneracy, and solution approaches , 2017, Eur. J. Oper. Res..
[12] Pan Xu,et al. An exact algorithm for the bilevel mixed integer linear programming problem under three simplifying assumptions , 2014, Comput. Oper. Res..
[13] Gerhard J. Woeginger,et al. Bilevel programming and the separation problem , 2013, Mathematical Programming.
[14] El-Ghazali Talbi,et al. A Taxonomy of Metaheuristics for Bi-level Optimization , 2013 .
[15] L. Wehenkel,et al. Contingency Ranking With Respect to Overloads in Very Large Power Systems Taking Into Account Uncertainty, Preventive, and Corrective Actions , 2013, IEEE Transactions on Power Systems.
[16] El-Ghazali Talbi,et al. Metaheuristics for Bi-level Optimization , 2013 .
[17] P. I. Barton,et al. Issues in the Development of Global Optimization Algorithms for Bilevel Programs with a Nonconvex Inner Program , 2006 .
[18] Matteo Fischetti,et al. Intersection Cuts for Bilevel Optimization , 2016, IPCO.
[19] Jonathan Cole Smith,et al. A mixed-integer bilevel programming approach for a competitive prioritized set covering problem , 2016, Discret. Optim..
[20] Stephan Dempe,et al. Foundations of Bilevel Programming , 2002 .
[21] Jonathan Cole Smith,et al. A class of algorithms for mixed-integer bilevel min–max optimization , 2015, Journal of Global Optimization.
[22] Long Zhao,et al. Solving two-stage robust optimization problems using a column-and-constraint generation method , 2013, Oper. Res. Lett..
[23] M. Ferris,et al. Complementarity Problems in GAMS and the , 1998 .
[24] Churlzu Lim,et al. New product introduction against a predator: A bilevel mixed‐integer programming approach , 2009 .
[25] Jonathan F. Bard,et al. The Mixed Integer Linear Bilevel Programming Problem , 1990, Oper. Res..
[26] Eitaro Aiyoshi,et al. Double penalty method for bilevel optimization problems , 1992, Ann. Oper. Res..
[27] Pierre Hansen,et al. Links Between Linear Bilevel and Mixed 0–1 Programming Problems , 1995 .
[28] M. Ferris,et al. Complementarity problems in GAMS and the PATH solver 1 This material is based on research supported , 2000 .
[29] Alexander Mitsos,et al. Global optimization of generalized semi-infinite programs via restriction of the right hand side , 2014, Journal of Global Optimization.
[30] Dong Cao,et al. Capacitated plant selection in a decentralized manufacturing environment: A bilevel optimization approach , 2006, Eur. J. Oper. Res..
[31] Alexander Mitsos,et al. Global solution of nonlinear mixed-integer bilevel programs , 2010, J. Glob. Optim..
[32] Jing Hu,et al. On linear programs with linear complementarity constraints , 2011, Journal of Global Optimization.
[33] Panos M. Pardalos,et al. Recent Advances in Global Optimization , 1991 .
[34] Oliver Stein,et al. On generalized semi-infinite optimization and bilevel optimization , 2002, Eur. J. Oper. Res..
[35] J. E. Falk,et al. Infinitely constrained optimization problems , 1976 .
[36] Matteo Fischetti,et al. A New General-Purpose Algorithm for Mixed-Integer Bilevel Linear Programs , 2017, Oper. Res..
[37] Michael C. Ferris,et al. Complementarity: Applications, Algorithms and Extensions , 2010 .
[38] J. C. Smith,et al. Optimal Mixed-Integer Programming and Heuristic Methods for a Bilevel Stackelberg Product Introduction Game , 2006 .
[39] Paul I. Barton,et al. Global solution of bilevel programs with a nonconvex inner program , 2008, J. Glob. Optim..
[40] B. Bank,et al. Non-Linear Parametric Optimization , 1983 .
[41] L. N. Vicente,et al. Discrete linear bilevel programming problem , 1996 .
[42] Berç Rustem,et al. Parametric global optimisation for bilevel programming , 2007, J. Glob. Optim..
[43] Berç Rustem,et al. Pessimistic Bilevel Optimization , 2013, SIAM J. Optim..
[44] Marianthi G. Ierapetritou,et al. Resolution method for mixed integer bi-level linear problems based on decomposition technique , 2009, J. Glob. Optim..
[45] A. Neumaier,et al. Solving minimax problems by interval methods , 1990 .
[46] Claire S. Adjiman,et al. Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development , 2014, Journal of Global Optimization.
[47] J. Bard,et al. An algorithm for the discrete bilevel programming problem , 1992 .
[48] Paul I. Barton,et al. Global solution of semi-infinite programs , 2004 .
[49] Paul H. Calamai,et al. Bilevel and multilevel programming: A bibliography review , 1994, J. Glob. Optim..
[50] Christian Kanzow,et al. Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints , 2011, Mathematical Programming.
[51] Jonathan Cole Smith,et al. A Value-Function-Based Exact Approach for the Bilevel Mixed-Integer Programming Problem , 2017, Oper. Res..
[52] Oliver Stein,et al. The Adaptive Convexification Algorithm: A Feasible Point Method for Semi-Infinite Programming , 2007, SIAM J. Optim..
[53] Ted K. Ralphs,et al. A Branch-and-cut Algorithm for Integer Bilevel Linear Programs , 2009 .
[54] M. Florian,et al. THE NONLINEAR BILEVEL PROGRAMMING PROBLEM: FORMULATIONS, REGULARITY AND OPTIMALITY CONDITIONS , 1993 .
[55] Ue-Pyng Wen,et al. Algorithms for solving the mixed integer two-level linear programming problem , 1990, Comput. Oper. Res..
[56] James E. Falk,et al. A nonconvex max‐min problem , 1977 .
[57] Martine Labbé,et al. New formulations and valid inequalities for a bilevel pricing problem , 2008, Oper. Res. Lett..
[58] Mahyar A. Amouzegar. A global optimization method for nonlinear bilevel programming problems , 1999, IEEE Trans. Syst. Man Cybern. Part B.
[59] Jerome Bracken,et al. Mathematical Programs with Optimization Problems in the Constraints , 1973, Oper. Res..
[60] Bo Zeng. Solving Bilevel Mixed Integer Program by Reformulations and Decomposition June , 2014 , 2014 .
[61] Jonathan F. Bard,et al. Practical Bilevel Optimization , 1998 .
[62] Stephan Dempe,et al. Linear bilevel programming with upper level constraints depending on the lower level solution , 2006, Appl. Math. Comput..
[63] M. Queyranne,et al. Parametric Integer Programming Algorithm for Bilevel Mixed Integer Programs , 2009, 0907.1298.
[64] Christodoulos A. Floudas,et al. Global optimization of mixed-integer bilevel programming problems , 2005, Comput. Manag. Sci..
[65] Hubertus Th. Jongen,et al. Generalized semi-infinite optimization: A first order optimality condition and examples , 1998, Math. Program..