Dr. Felix Bestehorn

Felix Bestehorn
Dr. Felix Bestehorn
Universitätsplatz 2, Room 608

Office hours: By appointment, please contact me via e-mail.


Research Interests

I am interested in solving and modelling optimization problems hovering on the border between nonlinear and discrete optimization. These include, in particular,

  • mixed-integer optimal control problems of switched systems,
  • complexity and approximability of optimal control problems under different constraints and/or cost functions,
  • properties and worst case performance as well as runtime estimates for approximation algorithms of mixed-integer optimal control problems,
  • connections to model-predictive control,
  • graph theoretic approaches for optimization problems on the border between nonlinear and discrete optimization.

Participation in Research Projects

Non-smooth Methods for Complementarity Formulations of Switched Advection-Diffusion Processes

PIs: Prof. Kirches (TU Braunschweig), with Prof. Sager (OVGU Magdeburg), S. Leyffer (Argonne National Laboratory, IL, USA)
Funding: Priority Programme 1962 of Deutsche Forschungsgemeinschaft (DFG)
Duration: Oct 2016 – Sep 2022

Teaching

Semester Course  
Winter 2019/2020 Computerpraktikum Optimierung (Bachelor) Teaching Assistant
Summer 2019 Computerorientierte Mathematik 2 Teaching Assistant
Winter 2018/2019 Dynamische Optimierung (Kontinuierliche Optimierung) Teaching Assistant
Winter 2018/2019 Computerpraktikum Optimierung (Bachelor) Teaching Assistant
Summer 2018 Computerpraktikum Optimierung für Fortgeschrittene Teaching Assistant
Winter 2017/2018 Computerpraktikum Optimierung (Bachelor) Teaching Assistant

Workshops and Conferences

Date Subject
12/2021 Switching Cost Aware Rounding for Relaxations of Mixed-Integer Optimal Control Problems: The Two-Dimensional Case. 60th Conference on Decision and Control - CDC 2021, Austin.
03/2021 A combinatorial framework for Mixed-integer optimal control problems. GAMM Annual Meeting 2021, Kassel.
03/2021 Extending a Shortest Path Rounding Approach to MIPDECOs. SIAM Conference on Computational Science and Engineering (CSE2021).
12/2019 A switching cost aware rounding method for relaxations of mixed-integer optimal control problems. 58th Conference on Decision and Control - CDC 2019, Nizza.
06/2019 Switching Costs Made Easy - a Generic Combinatorial Framework for MIOCPs (Poster). Workshop on Applied Algebra.
06/2018 Approximation algorithms for MIOCPs with discontinuous switch costs. International Symposium on Mathematical Programming – ISMP 2018, Bordeaux.
03/2018 Distributed Optimization Procedures for District Heating Networks. 7th International Conference on High Performance Scientific Computing, Hanoi, Vietnam.

Publications

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