Research Areas

Each field is represented by more than one member, enabling productive cooperation and co-supervision of the PhD students. A special emphasis is put on the algorithmic aspect. It is intended to encourage the collegiates to work on theoretical topics as well as to implement and compare algorithms on a practical basis. Most of the research topics are related to concrete practical problems and the planned work should contribute to the solution of these problems.

The proposed research areas show considerable potential for synergies. Combinatorial optimization can be extended to dynamic and stochastic optimization (building synergies between Bomze and Pflug), statistical methods and optimization in statistics are closely related (Uhler and Pflug). In addition optimization heuristics, which already have significant practical impact in combinatorial optimization (Raidl and Henzinger), are increasingly relevant also in stochastic optimization (Raidl and Pflug). Synergies between cutting plane methods (and decomposition methods in combinatorial optimization, in general) and copositive optimization will be considered by Bomze. The topic of global optimization is treated by Bomze, Bot, Neumaier and Schichl. Nonlinear optimization will be treated by Bot, Neumaier and Schichl.

The different areas of optimization covered by the faculty members of the program are: