[HTML][HTML] A survey on mixed-integer programming techniques in bilevel optimization
Bilevel optimization is a field of mathematical programming in which some variables are
constrained to be the solution of another optimization problem. As a consequence, bilevel …
constrained to be the solution of another optimization problem. As a consequence, bilevel …
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 …
A new general-purpose algorithm for mixed-integer bilevel linear programs
Bilevel optimization problems are very challenging optimization models arising in many
important practical contexts, including pricing mechanisms in the energy sector, airline and …
important practical contexts, including pricing mechanisms in the energy sector, airline and …
A branch-and-cut algorithm for mixed integer bilevel linear optimization problems and its implementation
In this paper, we describe a comprehensive algorithmic framework for solving mixed integer
bilevel linear optimization problems (MIBLPs) using a generalized branch-and-cut …
bilevel linear optimization problems (MIBLPs) using a generalized branch-and-cut …
A new combinatorial branch-and-bound algorithm for the knapsack problem with conflicts
Abstract We study the Knapsack Problem with Conflicts, a generalization of the Knapsack
Problem in which a set of conflicts specifies pairs of items which cannot be simultaneously …
Problem in which a set of conflicts specifies pairs of items which cannot be simultaneously …
[图书][B] Bilevel optimization: theory, algorithms and applications
S Dempe - 2018 - optimization-online.org
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 …
Interdiction games and monotonicity, with application to knapsack problems
Two-person interdiction games represent an important modeling concept for applications in
marketing, defending critical infrastructure, stopping nuclear weapons projects, or …
marketing, defending critical infrastructure, stopping nuclear weapons projects, or …
On the use of intersection cuts for bilevel optimization
We address a generic mixed-integer bilevel linear program (MIBLP), ie, a bilevel
optimization problem where all objective functions and constraints are linear, and some/all …
optimization problem where all objective functions and constraints are linear, and some/all …
A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs
We propose an extended variant of the reformulation and decomposition algorithm for
solving a special class of mixed-integer bilevel linear programs (MIBLPs) where continuous …
solving a special class of mixed-integer bilevel linear programs (MIBLPs) where continuous …
Neur2RO: Neural two-stage robust optimization
Robust optimization provides a mathematical framework for modeling and solving decision-
making problems under worst-case uncertainty. This work addresses two-stage robust …
making problems under worst-case uncertainty. This work addresses two-stage robust …