Many hard optimization problems from different fields of research are modeled by use of networks/graphs. Frequently, the underlying network structure of these problems...
Models and Simulations for Network Planning and Control of UMTS
The deployment of mobile telecommunication networks for the new UMTS standard poses new challenges for radio network planning. In contrast to, for example, GSM, coverage...
Convex hulls of sets of 0/1-vectors (0/1-polytopes) form the backbone of Polyhedral Combinatorics. Over the last four decades, extensive research on special 0/1-plytopes...
Public transport networks of towns and districts are characterized by the available transport systems, routes and frequencies of lines, time tables, and fares. These...
Many problems are naturally online problems. They require decisions to be made on the basis of incomplete data. In online optimization the input is modelled as a (finite)...
Stable sets in graphs form one of the important models in integer programming and have various applications. However, the stable set problem is NP-hard and also not easy...
Nonlinear Optimization of the Load Distribution in Gas Networks
A routine task of every natural gas provider is the short-term (operative) planning of the load distribution in the pipeline network to satisfy the predicted demand over...
Integrated Vehicle and Duty Scheduling in Public Transit
Integrated scheduling in public transit deals with the simultaneous construction of operation schedules for vehicles and crews. This kind of scheduling is particularly...
The German automobile club ADAC (Allgemeiner Deutscher Automobil-Club) maintains a heterogeneous fleet of over 1600 service vehicles (units) in order to assist people...
Routing in optical transport networks: Optimization of the static configuration of optical transport networks
Modern telecommunication networks are structured hierarchically. In the core network, the highest level, many flows from subnetworks are aggregated, resulting in high...
Processing connection requests in a given all-optical network dynamically works as follows.
Upon release of a customer call, it must be decided immediately and...
Optical technology dominates more and more the core of modern telecommunication networks, providing the most potential to deal with the ever-increasing bandwidth demands...
This is a joint project with the department of Numerical Analysis and Modelling.
The goal of this joint research project is to gain insight into functional and anatomical...
Industrial production processes are often operated such that energy consumption or operation costs are minimized. Typically this means full exploitation of the technical...
In the early days of topology, manifolds were often studied via triangulations. The combinatorial structure makes the computation of various invariants possible, and...
Computer-assisted and Model-guided Facial Surgery Planning
The planning of complex surgical procedures necessitates highly reliable computerized models of the human anatomy. The ultimate goal is to accurately simulate surgical...
The DFN-Verein operates the German Research Network, which connects universities and research institutes from all over Germany and serves as a platform to develop and...
Duty scheduling is the assignment of tasks of work to staff by means of a schedule. Problems typically involve complicated rules for the legality and the costs of duties...
Insurance companies and other institutional investors maintain portfolios with very large capital volumes. The security of investments is preeminent, but on the other...
Insurance companies and other institutional investors maintain portfolios with very large capital volumes. The security of investments is preeminent, but on the other...
