Bilevel optimization: theory, algorithms, applications and a bibliography
S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …
region of the so-called upper level problem is restricted by the graph of the solution set …
Second-order KKT optimality conditions for multiobjective optimal control problems
In this paper, we study second-order necessary and sufficient optimality conditions of Karush-
-Kuhn--Tucker type for local optimal solutions in the sense of Pareto to a class of …
-Kuhn--Tucker type for local optimal solutions in the sense of Pareto to a class of …
Optimality conditions for semivectorial bilevel convex optimal control problems
H Bonnel, J Morgan - Computational and Analytical Mathematics: In Honor …, 2013 - Springer
We present optimality conditions for bilevel optimal control problems where the upper level
is a scalar optimal control problem to be solved by a leader and the lower level is a …
is a scalar optimal control problem to be solved by a leader and the lower level is a …
Local stability of solutions to a parametric multi-objective optimal control problem
This paper studies local stability of solutions to a parametric multi-objective optimal control
problem with constraints. By combining the scalarization method and non-scalarization …
problem with constraints. By combining the scalarization method and non-scalarization …
Semivectorial bilevel convex optimal control problems: existence results
We consider a bilevel optimal control problem where the upper level, to be solved by a
leader, is a scalar optimal control problem, and the lower level, to be solved by several …
leader, is a scalar optimal control problem, and the lower level, to be solved by several …
[HTML][HTML] Stability Analysis to Parametric Multiobjective Optimal Control Problems
In this paper, we investigate continuity properties of the efficient solution map of a parametric
nonlinear multiobjective optimal control problem. First, by using the equimeasurability …
nonlinear multiobjective optimal control problem. First, by using the equimeasurability …
[HTML][HTML] On the second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints
BT Kien, TD Binh - Journal of Global Optimization, 2023 - Springer
In this paper, we derive second-order necessary optimality conditions and second-order
sufficient optimality condition for locally Pareto solutions to a class of multi-objective optimal …
sufficient optimality condition for locally Pareto solutions to a class of multi-objective optimal …
Second-order optimality conditions for multiobjective optimal control problems with mixed pointwise constraints and free right end point
In this paper, we derive first-and second-order necessary optimality conditions of Karush--
Kuhn--Tucker type for H-locally weak solutions in the sense of Pareto of multiobjective …
Kuhn--Tucker type for H-locally weak solutions in the sense of Pareto of multiobjective …
[HTML][HTML] Post-Pareto analysis and a new algorithm for the optimal parameter tuning of the elastic net
H Bonnel, C Schneider - Journal of Optimization Theory and Applications, 2019 - Springer
The paper deals with the optimal parameter tuning for the elastic net problem. This process
is formulated as an optimization problem over a Pareto set. The Pareto set is associated with …
is formulated as an optimization problem over a Pareto set. The Pareto set is associated with …
Doubly nonnegative relaxation method for solving multiple objective quadratic programming problems
YQ Bai, CH Guo - arXiv preprint arXiv:1211.4670, 2012 - arxiv.org
Multicriterion optimization and Pareto optimality are fundamental tools in economics. In this
paper we propose a new relaxation method for solving multiple objective quadratic …
paper we propose a new relaxation method for solving multiple objective quadratic …