PhD Theses
PhD Theses
PhD Theses treat usually complex mathematical optimization problems, for which there exist no satisfying solution methods so far. The problem results usually from concrete applications in industry and economy or from engineering and scientific questions.
The main interest of our working group lies in optimization problems which contain combinatorial elements or decision-demanding questions, i.e. questions, which permit only yes/no answers. Mathematically, such questions can be formulated as mixed-integer linear or nonlinear problems (short MIP or MINLP). A thesis usually contains the setting of a suitable mathematical model, the analysis of the underlying MIPs and/or MINLPs, the development and extension of suitable solution procedures as well as the application on real and realistic data.
Until 2023 this was a joint website of the group Analytics & Mixed-Integer Optimization and the group Optimization under Uncertainty & Data Analysis.
Current Works
- Presolving Techniques, Heuristics and Solving Techniques for Mixed-Integer Programs
Katrin Halbig
Previous Works
2023
- Contributions to Robust Optimization: Network Flows, Market Equilibria, Linear Complementarity Problems, and Pareto Optimality
Christian Biefel - Robust Optimization and Decomposition for Assignment Problems in Airline Operations
Lukas Glomb - Duality theory in the context of market equilibrium problems with integrality constraints – pricing schemes and existence of solutions
Lukas Hümbs - Decomposition Methods for Time-Dependent Mixed-Integer Nonlinear Optimization Problems on Graphs
Richard Krug - Mixed-integer nonlinear robust optimization via nonsmooth methods
Martina Kuchlbauer - Modelling and solving the integrated locomotive scheduling and driver assignment problem with an extension to graph 2-list-colouring problem with compatibility constraints
Jonasz Staszek
2022
- Clique-Related Structures in Mixed-Integer Programming: Analysis, Recognition, and Application
Patrick Gemander - Robust and Stochastic Optimization of Assignment Problems for Airport Runway Utilization
Manu Kapolke - Well-Posedness of Deterministic and Uncertain Linear Complementarity Problems with Applications to Electricity Markets
Vanessa Krebs - The pooling problem with recipes
Oskar Schneider - Feasibility for Maximal Uncertainty Sets in Robust Optimization with Application to Gas Networks
Johannes Thürauf
2021
- Mixed-Integer Optimization for an Integrated Life Cycle Sustainability Assessment in the Automotive Industry – A Case Study Using the Example of Lithium-Ion Cells
Lucia Bäuml - Algorithms for Mixed-Integer Bilevel Problems with Convex Followers
Thomas Kleinert
2020
- Stückweise lineare Approximation von bilinearen Nebenbedingungen mit Anwendung auf hybride Energiesysteme ohne Netzanschluss
Katja Kutzer
2019
- Exact Methods for Two-Stage Robust Optimization with Applications in Gas Networks
Denis Aßmann - Adaptive Mixed-Integer Refinements for Solving Nonlinear Problems with Discrete Decisions
2018
- Mathematical Optimization of Matching Problems with Precedence Constraints – An Application to Runway Scheduling
Andrea Peter - Incorporating Differential Equations into Mixed-Integer Programming for Gas Transport Optimization
Mathias Sirvent
2017
- Uncertainty Models for Optimal and Robust ATM Schedules – Robuste Optimierungsmodelle für den Flugverkehr
Andreas Heidt - Integer and Mixed-Integer Reformulations of Stochastic, Resource-Constrained, and Quadratic Matching Problems
Lena Hupp - Solving Mixed-Integer Linear and Nonlinear Network Optimization Problems by Local Reformulations and Relaxations
Maximilian Merkert
2016
- Habilitation Discrete methods for hard mixed-integer nonlinear problems
- Computing maximal entry and exit capacities of transportation networks – Complexity analysis and a discrete relaxation applied to gas transmission systems
Christine Hayn - Optimal Capacity Planning for the Transition of Energy Systems: Mathematical Models, Methods and Solutions
- Approaches to Congestion Management in Electricity Networks: Equilibrium Models, Mathematical Analyses, and Computational Results
Martin Weibelzahl - Solving mixed-integer programs arising in production planning
Dieter Weninger
2015
- Solving Network Design Problems via Decomposition, Aggregation and Approximation – with an Application to the Optimal Expansion of Railway Infrastructure
Andreas Bärmann - Discrete Approaches for Optimal Routing of High Pressure Pipes
Jakob Schelbert - Binary Steiner Trees: Structural Results, Algorithms and an Application in Phylogeny
Susanne Pape
2014
- Auctions in Exchange Trading Systems: Modeling Techniques and Algorithms
Johannes Christian Müller
2013
- Mixed-Integer Semidefinite Programming with an Application to Truss Topology Design
- Discrete-continuous optimization of complex dynamic water supply and urban drainage systems
2012
- Routing cars in rail freight service
2011
- Approximation of Nonlinear Dynamics in Gas Network Optimization
2010
- Integral Sheet Metal Design by Discrete Optimization
- A Scenario Tree-Based Decomposition for Solving Multistage Stochastic Programs with Application in Energy Production
- Designing Coupled Energy Carrier Networks by Mixed-Integer Programming Methods
2008
- Protein Folding and Self-Avoiding Walks – Polyhedral Studies and Solutions
2007
- Relaxations and Solutions for the Minimum Graph Bisection Problem
2006
- Optimal Distribution of Block-Structured Grids in Parallel Computing
- A Mixed Integer Approach for the Transient Case of Gas Network Optimization
2005
- The Integrated Optimization of School Starting Times and Public Transport
2004
- Habilitation Counting principles of algebraic combinatorics : with an emphasis on topological enumeration.
- Mixed Integer Models for the Optimisation of Gas Networks in the Stationary Case
- Mathematische Modellierung der Konsistenz und konsistenzerhaltender Erweiterungen von Vererbung in objektorientierten Sprachen
- Rapid Mathematical Programming