Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
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Publication:4736117
DOI10.1080/0233193031000149894zbMath1140.90493OpenAlexW2254218369MaRDI QIDQ4736117
Publication date: 9 August 2004
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0233193031000149894
Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Hierarchical games (including Stackelberg games) (91A65) Bibliographies for mathematics in general (00A15)
Related Items (only showing first 100 items - show all)
Designing an optimal contract mechanism in a cellulosic biofuel enterprise ⋮ Solving linear bilevel multiobjective programming problem via exact penalty function approach ⋮ A bilevel planning model for public-private partnership ⋮ Multi-objective linguistic-neutrosophic matrix game and its applications to tourism management ⋮ Interactive fuzzy decision making method for solving bilevel programming problem ⋮ An inexact-restoration method for nonlinear bilevel programming problems ⋮ Linear bilevel programming with upper level constraints depending on the lower level solution ⋮ A computational study for bilevel quadratic programs using semidefinite relaxations ⋮ Solving ill-posed bilevel programs ⋮ Techniques for gradient-based bilevel optimization with non-smooth lower level problems ⋮ The robust bilevel continuous knapsack problem with uncertain coefficients in the follower's objective ⋮ Models and a relaxation algorithm for continuous network design problem with a tradable credit scheme and equity constraints ⋮ Solution algorithm for an optimistic linear Stackelberg problem ⋮ The stochastic bilevel continuous knapsack problem with uncertain follower's objective ⋮ A novel method for solving the fully fuzzy bilevel linear programming problem ⋮ Bilevel programming and applications ⋮ Bilevel optimization problems of distribution of interbudgetary transfers under given limitations ⋮ A special three-level optimization problem ⋮ An approximate programming method based on the simplex method for bilevel programming problem ⋮ Feasible method for generalized semi-infinite programming ⋮ A bridge between bilevel programs and Nash games ⋮ New bounding schemes and algorithmic options for the Branch-and-Sandwich algorithm ⋮ An objective penalty method for optimistic bilevel programming problems ⋮ Solving discrete linear bilevel optimization problems using the optimal value reformulation ⋮ Deterministic solution approach for some classes of nonlinear multilevel programs with multiple followers ⋮ Optimal storage and transmission investments in a bilevel electricity market model ⋮ Three modeling paradigms in mathematical programming ⋮ A bilevel programming problem with maximization of a supermodular function in the lower level ⋮ A projected subgradient algorithm for bilevel equilibrium problems and applications ⋮ An interior point technique for solving bilevel programming problems ⋮ Necessary optimality conditions and a new approach to multiobjective bilevel optimization problems ⋮ Bilevel programming and the separation problem ⋮ A novel approach based on preference-based index for interval bilevel linear programming problem ⋮ Competitive facility location problem with attractiveness adjustment of the follower: a bilevel programming model and its solution ⋮ An interval programming approach for the bilevel linear programming problem under fuzzy random environments ⋮ A note on equilibria for two-tier supply chains with a single manufacturer and multiple retailers ⋮ Semivectorial bilevel optimization on Riemannian manifolds ⋮ Solving bilevel multiobjective programming problem by elite quantum behaved particle swarm optimization ⋮ Optimality conditions for a bilevel matroid problem ⋮ Separating tight metric inequalities by bilevel programming ⋮ Model selection for primal SVM ⋮ Connections between single-level and bilevel multiobjective optimization ⋮ On bilevel machine scheduling problems ⋮ Comment to ``Interactive fuzzy goal programming approach for bilevel programming problem by S.R. Arora and R. Gupta ⋮ Solving quadratic convex bilevel programming problems using a smoothing method ⋮ An approach for solving a fuzzy bilevel programming problem through nearest interval approximation approach and KKT optimality conditions ⋮ An objective penalty function of bilevel programming ⋮ Linear bilevel programming with interval coefficients ⋮ Solving bilevel programs with the KKT-approach ⋮ An improved particle swarm optimization for solving bilevel multiobjective programming problem ⋮ An exact algorithm for bilevel 0-1 knapsack problems ⋮ Bilevel problems over polyhedra with extreme point optimal solutions ⋮ Global solution of nonlinear mixed-integer bilevel programs ⋮ Solving convex quadratic bilevel programming problems using an enumeration sequential quadratic programming algorithm ⋮ A robust signal control system for equilibrium flow under uncertain travel demand and traffic delay ⋮ A differential evolution with two mutation strategies and a selection based on an improved constraint-handling technique for bilevel programming problems ⋮ Bilevel stochastic linear programming problems with quantile criterion ⋮ A single-level reformulation of mixed integer bilevel programming problems ⋮ Branch-and-sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. I: theoretical development ⋮ Branch-and-sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part II: Convergence analysis and numerical results ⋮ Is bilevel programming a special case of a mathematical program with complementarity constraints? ⋮ A quadratic objective penalty function for bilevel programming ⋮ A smoothing method for solving bilevel multiobjective programming problems ⋮ An adaptive genetic algorithm for solving bilevel linear programming problem ⋮ Radio communications interdiction problem under deterministic and probabilistic jamming ⋮ Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems ⋮ A self-adaptive extragradient-CQ method for a class of bilevel split equilibrium problem with application to Nash Cournot oligopolistic electricity market models ⋮ Global efficiency for multiobjective bilevel programming problems under generalized invexity ⋮ A mixed-integer bilevel programming approach for a competitive prioritized set covering problem ⋮ Quasiconvex minimization on a locally finite union of convex sets ⋮ Regularization projection method for solving bilevel variational inequality problem ⋮ Multiobjective optimization problems with equilibrium constraints ⋮ Multiobjective bilevel optimization ⋮ Linear bilevel programs with multiple objectives at the upper level ⋮ Optimization problems with equilibrium constraints and their numerical solution. ⋮ Second order optimality conditions for bilevel set optimization problems ⋮ The computational complexity of bilevel assignment problems ⋮ Weak linear bilevel programming problems: existence of solutions via a penalty method ⋮ Bilevel model for production-distribution planning solved by using ant colony optimization ⋮ Exact penalty functions and calmness for mathematical programming under nonlinear perturbations ⋮ A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs ⋮ Bilevel programming data envelopment analysis with constrained resource ⋮ Efficiently solving linear bilevel programming problems using off-the-shelf optimization software ⋮ Genetic algorithm for mixed integer nonlinear bilevel programming and applications in product family design ⋮ Solving the fully fuzzy bilevel linear programming problem through deviation degree measures and a ranking function method ⋮ The trouble with the second quantifier ⋮ A smoothing augmented Lagrangian method for solving simple bilevel programs ⋮ An exact penalty on bilevel programs with linear vector optimization lower level ⋮ On bilevel variational inequalities ⋮ Global solution of bilevel programs with a nonconvex inner program ⋮ Necessary optimality conditions for semi-vectorial bi-level optimization with convex lower level: theoretical results and applications to the quadratic case ⋮ On the complexity of robust bilevel optimization with uncertain follower's objective ⋮ Extragradient subgradient methods for solving bilevel equilibrium problems ⋮ A genetic algorithm for solving linear fractional bilevel problems ⋮ A note on the complexity of the bilevel bottleneck assignment problem ⋮ An efficient solution strategy for bilevel multiobjective optimization problems using multiobjective evolutionary algorithm ⋮ Bi-level linear programming of intuitionistic fuzzy ⋮ Bilevel hyperparameter optimization for support vector classification: theoretical analysis and a solution method ⋮ A genetic algorithm using a finite search space for solving nonlinear/linear fractional bilevel programming problems ⋮ On the solution of convex bilevel optimization problems
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