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.
Current Works
- Robust approaches for optimization problems with uncertain and online input
Dennis Adelhütte - Optimal Control of Electrical Distribution Networks with Uncertain Solar Feed-In
Kevin-Martin Aigner - Stochastic Optimization of Energy Systems
Matej Ciesko - Developing MIP Methods for Supply Network Planning Problems
Patrick Gemander - Robust Optimization in Air Traffic Management
Manu Kapolke - Well-posedness of Deterministic and Uncertain LCPs with an Application to Electricity Markets
Vanessa Krebs - Adaptive Methods for Optimizing Coupled pH-Systems
Richard Krug - Mixed-Integer Nonlinear Bilevel Optimization in Energy Tariff Design
Galina Orlinskaya - Learning of Optimization Models
Oskar Schneider - Vehicle Scheduling in Rail Freight Service
Hanno Schülldorf - Robust Optimization with Applications in Energy Networks
Johannes Thürauf - Minimizing Waiting Times in Patient Transportations and Rescue Missions
Sebastian Tschuppik
Previous Works
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 Optimizition
- 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