The Chair of EDOM (Economics – Discrete Optimization – Mathematics)
Discrete Optimization has become an important component in modern applied mathematics over recent years. Many challenging problems from business and industry can be modeled as discrete optimization problems. The study and solution of these problems is the main focus of our research group. This includes the development of mathematical models for real-world problems, their theoretical analysis (mainly using methods from graph theory, polyhedral combinatorics, and integer programming), and the design and implementation of fast algorithms as well as their evaluation in practice.
The Chair, held by Professor Alexander Martin, involves one additional, one guest and one junior professorship, a junior research group leader and more than 20 research associates. Our group possesses vast experience in topics including – but not limited to – logistics, optimization in physics, engineering and energy, see projects or thesis for details.
From 2000 to 2010, the research group was located at Technische Universtität Darmstadt. There it was engaged, inter alia, in the Collaborative Research Center SFB 666 Integral sheet metal design with higher order bifurcations - Development, Production, Evaluation, the SFB 805 "Control of uncertainty of load carrying systems in mechanical engineering", the TU Darmstadt focal research area "Computational Engineering" and the BMBF network on "Decentralized Regenerative Energy Supply: Innovative Modeling and Optimization".
After moving to the University of Erlangen-Nuremberg in 2010, we started research within the BMBF networks "Life-cycle oriented optimization for a resource- and energy-efficient infrastructure", "Complex optimization strategies for mobility and transport in railways" as well as in the Energy Campus Nuremberg EnCN and several more projects from industry, see our projects. Currently, we also coordinate the Cooperative Research Centre TRR 154 „Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks“ as well as two BMBF research networks „Energy Management System Water Supply Networks (EWave)“ and „Energy-efficient Mobility (E-Motion)", of which the latter is the motivation for this challenge.
Our Challenge: Discrete Optimization
The global community is searching for new ways to mitigate its growing energy demands and offer sustainable solutions for a rapidly developing world. This challenge focuses on the crucial aspect of electric rail transportation, specifically: how can rail timetables be optimized to prevent costly fluctuations, or peaks, in power consumption?