Bilevel Optimization
Mathematical models in which one optimization problem is constrained by the solution of another.
Martin Schmidt
Trier University, Germany
My research focuses on bilevel, mixed-integer, nonlinear, robust, equilibrium, and network optimization, with applications in energy systems and markets as well as machine learning and AI.
Core Research Topics
Mixed-Integer & Nonlinear Optimization
Theory and algorithms for optimization problems that combine discrete decisions with nonlinear constraints and objectives.
Robust Optimization & Uncertainty
Models and algorithms for optimization under uncertain parameters, including robust and decision-dependent formulations.
Equilibrium Problems & Games
Models and algorithms for interacting decision-makers, complementarity systems, and generalized Nash equilibrium problems.
Network Optimization
Optimization models and algorithms for flows and decisions on energy and infrastructure networks.
Selected Research
Representative work across publications, research tools, and collaborative projects.
Benchmark Library
BOBILib
An open library of bilevel optimization benchmark instances in a standardized format.
BOBILib websiteBook
Linear and Mixed-Integer Bilevel Optimization: Theory and Algorithms
Yasmine Beck, Ivana Ljubić, Martin Schmidt
View publicationCurrent Project
A3G: Aggregative Mixed-Integer Equilibrium Problems: Existence, Approximation, and Algorithms
Study of the existence, approximation, and computation of equilibria in aggregative games with discrete strategy spaces.
View A3G projectJournal Article
There's No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization
Thomas Kleinert, Martine Labbé, Fränk Plein, Martin Schmidt
View publicationResearch Group
A team of postdoctoral and doctoral researchers in mathematical optimization, supported by the secretary’s office.
Meet the groupResearch staff
Aloïs Duguet
Postdoctoral Researcher
Approximation of nonlinear functions by piecewise linear functions · Nash equilibria in mixed-integer programming games · branching methods
Andreas Horländer
Postdoctoral Researcher
Bilevel optimization · mixed-integer optimization · nonlinear optimization
Simon Stevens
Doctoral Researcher
Bilevel optimization · optimization under decision-dependent uncertainty
Support
Monika Thieme-Trapp
Secretary's Office
Laura Sokolowski
Secretary's Office
Software & Data
A gateway to active benchmark libraries and research resources.
BOBILib
Featured resourceGasLib
A collection of gas network data sets for optimization and algorithmic research.
Recent Activity
Recent talks, publications, projects, and other research activity.
All newsAbout Martin Schmidt
My academic career has included positions at Trier University, FAU Erlangen-Nürnberg, Leibniz Universität Hannover, and Zuse Institute Berlin. My academic service includes editorial work and leadership roles.
View academic profile