Fetching the paper…
Reading the bibliography…
Bilevel optimization problems are a class of challenging optimization problems, which contain two levels of optimization tasks.
Hierarchical decentralized systems and its new solution by a barrier method
E. Aiyoshi and K. Shimizu · 1981
Earlier work this paper cites.
A new computational method for stackelberg and min-max problems by use of a penalty method
K. Shimizu and E. Aiyoshi · 1981
Earlier work this paper cites.
An explicit solution to the multi-level programming problem
J.F. Bard and J. Falk · 1982
Earlier work this paper cites.
Chemical Reaction Equilibrium Analysis: Theory and Algorithms
W.R. Smith and R.W. Missen · 1982
Earlier work this paper cites.
Coordination of multi-divisional firm through two levels of management
J. F. Bard · 1983
Earlier work this paper cites.
A solution method for the static constrained stackelberg problem via penalty method
E. Aiyoshi and K. Shimuzu · 1984
Earlier work this paper cites.
On the numerical solution of a class of stackelberg problems
J. V. Outrata · 1990
Earlier work this paper cites.
New branch-and-bound rules for linear bilevel programming
P. Hansen, B. Jaumard, and G. Savard · 1992
Earlier work this paper cites.
Game theory
D. Fudenberg and J. Tirole · 1993
Earlier work this paper cites.
Genetic algorithm based approach to bi-level linear programming
R. Mathieu, L. Pittard, and G. Anandalingam · 1994
Earlier work this paper cites.
Descent approaches for quadratic bilevel programming
L. N. Vicente, G. Savard, and J. J. Judice · 1994
Earlier work this paper cites.
Optimizing frequencies in a transit network: a nonlinear bi-level programming approach
Isabelle Constantin and Michael Florian · 1995
Earlier work this paper cites.
Bilevel programming in traffic planning: Models, methods and challenge
Athanasios Migdalas · 1995
Earlier work this paper cites.
The subdifferential of the optimal solution in parametric optimization
S. Dempe and S. Vogel · 1997
Earlier work this paper cites.
Practical Bilevel Optimization: Algorithms and Applications
J. F. Bard · 1998
Earlier work this paper cites.
Practical Bilevel Optimization: Algorithms and Applications
J.F. Bard · 1998
Earlier work this paper cites.
An outer approximations approach to reliability-based optimal design of structures
C. Kirjner-Neto, E. Polak, and A.Der Kiureghian · 1998
Earlier work this paper cites.
StackelbergÐnash equilibrium for multi-level programming with multiple followers using genetic algorithms
B. D. Liu · 1998
Earlier work this paper cites.
A global optimization method for nonlinear bilevel programming problems
M. A. Amouzegar · 1999
Cited alongside, same era.
An efficient constraint handling method for genetic algorithms
K. Deb · 2000
Cited alongside, same era.
Contact shape optimization: A bilevel programming approach
J. Herskovits, A. Leontiev, G. Dias, and G. Santos · 2000
Cited alongside, same era.
Genetic algorithm based approach for bilevel programming models
Y. Yin · 2000
Cited alongside, same era.
A bilevel model for toll optimization on a multicommodity transportation network
Luce Brotcorne, Martine Labbe, Patrice Marcotte, and Gilles Savard · 2001
Cited alongside, same era.
Model and interactive algorithm of bi-level multi-objective decision-making with multiple interconnected decision makers
X. Shi. and H. S. Xia · 2001
A hybrid genetic algorithm for solving nonlinear bilevel programming problems based on the simplex method
Hecheng Li and Yuping Wang · 2007
Later among the works it cites.
A bi-level programming model and solution algorithm for the location of logistics distribution centers
Huijun Sun, Ziyou Gao, and Jianjun Wu · 2008
Later among the works it cites.
Genetic algorithm based on simplex method for solving linear-quadratic bilevel programming problem
G. Wang, Z. Wan, X. Wang, and Y. Lv · 2008
Later among the works it cites.
A bilevel flow model for hazmat transportation network design
L. Bianco, M. Caramia, and S. Giordani · 2009
Later among the works it cites.
Bilevel programming: Implicit function approach
Stephan Dempe · 2009
Later among the works it cites.
Implicit Functions and Solution Mappings: A View from Variational Analysis
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Multi-point optimization using gas and Nash/Stackelberg games for high lift multi-airfoil design in aerodynamics
F. J. Wang and J. Periaux · 2001
Cited alongside, same era.
Foundations of Bilevel Programming
Stephan Dempe · 2002
Cited alongside, same era.
Bi-level optimization using genetic algorithm
V. Oduguwa and R. Roy · 2002
Cited alongside, same era.
Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints
S. Dempe · 2003
Cited alongside, same era.
Bilevel and multilevel programming: A bibliography review
L. N. Vicente and P. H. Calamai · 2004
Cited alongside, same era.
An evolutionary algorithm for solving nonlinear bilevel programming based on a new constraint-handling scheme
Y. Wang, Y. C. Jiao, and H. Li · 2005
Cited alongside, same era.
A.L. Dontchev and R.T. Rockafellar · 2009
Later among the works it cites.
Towards understanding evolutionary bilevel multi-objective optimization algorithm
A. Sinha and K. Deb · 2009
Later among the works it cites.
An efficient and accurate solution methodology for bilevel multi-objective programming problems using a hybrid evolutionary-local-search algorithm
K. Deb and A. Sinha · 2010
Later among the works it cites.
An evolutionary algorithm with local search for convex quadratic bilevel programming problems
Hecheng Li and Yuping Wang · 2011
Later among the works it cites.
A new evolutionary algorithm for a class of nonlinear bilevel programming problems and its global convergence
Yuping Wang, Hong Li, and Chuangyin Dang · 2011
Later among the works it cites.
Cobra: A cooperative coevolutionary algorithm for bi-level optimization
Francois Legillon, Arnaud Liefooghe, and El-Ghazali Talbi · 2012
Later among the works it cites.
Constructing evolutionary algorithms for bilevel multiobjective optimization
S. Ruuska and K. Miettinen · 2012
Later among the works it cites.
Unconstrained scalable test problems for single-objective bilevel optimization
A. Sinha, P. Malo, and K. Deb · 2012
Later among the works it cites.
An improved particle swarm optimization for solving bilevel multiobjective programming problem
T. Zhang, T. Hu, Y. Zheng, and X. Guo · 2012
Later among the works it cites.
Differential evolution for bilevel programming
J. Angelo, E. Krempser, and H. Barbosa · 2013
Closest in time.
Multi-objective stackelberg game between a regulating authority and a mining company: A case study in environmental economics
A. Sinha, P. Malo, A. Frantsev, and K. Deb · 2013
Closest in time.
Finding optimal strategies in a multi-period multi-leader-follower stackelberg game using an evolutionary algorithm
Ankur Sinha, Pekka Malo, Anton Frantsev, and Kalyanmoy Deb · 2013
Closest in time.