Maximilian Merkert

Postdoc in the MathOpt research group
at the Faculty of Mathematics
at the Otto von Guericke University Magdeburg

Address

Universitätsplatz 2, 02-225
39106 Magdeburg, Germany

phone: +49 391 67 52155
fax: +49 391 67 41171

Teaching Summer 2021

Previous Courses

Short CV

A long version is available on request.

Aug. 2017
– present:
Otto-von-Guericke-Universtität Magdeburg
Postdoc in the MathOpt research group
May 2012
– June 2017:
Friedrich-Alexander-Universität Erlangen-Nürnberg
PhD student and research assistent in the Economics, Discrete Optimization, and Mathematics (EDOM) research group
Apr. 2007
– Dec. 2011:
TU Kaiserslautern
Diploma in Mathematics with minor Comupter Science, specialized in Optimization
March 2010
– June 2010:
University of Auckland, New Zealand
Exchange semester, supported by the DAAD

Research interests

  • Mixed Integer Nonlinear Programming
  • Network Optimization & Applications
  • Polyhedral Combinatorics
  • Graph Theory
  • Bilevel Optimization & Game Theory

Selected publications



AuthorTitleYearJournal/ProceedingsReftypeLink
Bärmann, A., Gemander, P. & Merkert, M. The Clique Problem with Multiple-Choice Constraints under a Cycle-Free Dependency Graph 2020 Discrete Applied Mathematics   article DOI
url  
BibTeX:
@article{Baermann2020,
  author = {A. B\"{a}rmann and P. Gemander and M. Merkert},
  title = {The Clique Problem with Multiple-Choice Constraints under a Cycle-Free Dependency Graph},
  journal = {Discrete Applied Mathematics},
  year = {2020},
  volume = {283},
  pages = {59--77},
  url = {http://www.optimization-online.org/DB_HTML/2018/01/6436.html},
  doi = {https://doi.org/10.1016/j.dam.2019.12.015}
}
Bärmann, A., Gemander, P., Martin, A., Merkert, M. & Nöth, F. Energy-Efficient Timetabling in a German Underground System 2020 KoMSO Success Stories on Mathematics in Industry   incollection
url  
BibTeX:
@incollection{Baermann2020a,
  author = {Andreas B\"{a}rmann and Patrick Gemander and Alexander Martin and Maximilian Merkert and Frederik N\"{o}th},
  title = {Energy-Efficient Timetabling in a German Underground System},
  booktitle = {KoMSO Success Stories on Mathematics in Industry},
  publisher = {Springer},
  year = {2020},
  editor = {Karl-Heinz K\"{u}fer and Peter Maass and Anja Milde and Volker Schulz},
  note = {accepted},
  url = {http://www.optimization-online.org/DB_HTML/2020/04/7728.html}
}
Bärmann, A., Gemander, P., Martin, A. & Merkert, M. On Recognizing Staircase Compatibility 2020 Preprint (Optimization Online), submitted to SIAM Journal on Discrete Mathematics   article
url  
BibTeX:
@article{Baermann2021,
  author = {Andreas B\"{a}rmann and Patrick Gemander and Alexander Martin and Maximilian Merkert},
  title = {On Recognizing Staircase Compatibility},
  journal = {Preprint (Optimization Online), submitted to {SIAM Journal on Discrete Mathematics}},
  year = {2020},
  note = {submitted},
  url = {http://www.optimization-online.org/DB_HTML/2020/12/8138.html}
}
Bethge, J., Findeisen, R., Le, D., Merkert, M., H., R., Sager, S., Savchenko, A. & Sorgatz, S. Mathematical Optimization and Machine Learning for Efficient Urban Traffic 2020 KoMSO Success Stories on Mathematics in Industry   incollection
url  
BibTeX:
@incollection{Bethge2020,
  author = {Bethge, J. and Findeisen, R. and Le, D.D. and Merkert, M. and Rewald H. and Sager, S. and Savchenko, A. and Sorgatz, S.},
  title = {Mathematical Optimization and Machine Learning for Efficient Urban Traffic},
  booktitle = {KoMSO Success Stories on Mathematics in Industry},
  publisher = {Springer},
  year = {2020},
  editor = {Karl-Heinz K\"{u}fer and Peter Maass and Anja Milde and Volker Schulz},
  note = {accepted},
  url = {https://mathopt.de/publications/Bethge2020.pdf}
}
Gunkelmann, N. & Merkert, M. Improved energy minimization of iron carbon systems: On the influence of positioning interstitial atoms 2020 Modelling and Simulation in Materials Science and Engineering   article DOI
url  
BibTeX:
@article{Gunkelmann2020,
  author = {Gunkelmann, N. and Merkert, M.},
  title = {Improved energy minimization of iron carbon systems: On the influence of positioning interstitial atoms},
  journal = {Modelling and Simulation in Materials Science and Engineering},
  publisher = {{IOP} Publishing},
  year = {2020},
  volume = {28},
  number = {4},
  pages = {045005},
  url = {https://iopscience.iop.org/article/10.1088/1361-651X/ab6bb6},
  doi = {http://dx.doi.org/10.1088/1361-651x/ab6bb6}
}
Le, D., Merkert, M., Sorgatz, S., Hahn, M. & Sager, S. Autonomous traffic at intersections: an optimization-based analysis of possible time, energy, and CO2 savings 2020 Preprint (Optimization Online), submitted to Networks   article
url  
BibTeX:
@article{Le2020,
  author = {Le, D.D. and Merkert, M. and Sorgatz, S. and Hahn, M. and Sager, S.},
  title = {Autonomous traffic at intersections: an optimization-based analysis of possible time, energy, and {CO2} savings},
  journal = {Preprint (Optimization Online), submitted to {Networks}},
  year = {2020},
  note = {submitted},
  url = {http://www.optimization-online.org/DB_HTML/2020/02/7600.html}
}
Liers, F., Martin, A., Merkert, M., Mertens, N. & Michaels, D. Solving Mixed-Integer Nonlinear Optimization Problems using Simultaneous Convexification - a Case Study for Gas Networks 2020 accepted in Journal of Global Optimization   article
url  
BibTeX:
@article{Liers2020,
  author = {Liers, F. and Martin, A. and Merkert, M. and Mertens, N. and Michaels, D.},
  title = {Solving Mixed-Integer Nonlinear Optimization Problems using Simultaneous Convexification - a Case Study for Gas Networks},
  journal = {accepted in {Journal of Global Optimization}},
  year = {2020},
  note = {accepted},
  url = {http://www.optimization-online.org/DB_HTML/2020/02/7628.html}
}
Merkert, M., Orlinskaya, G. & Weninger, D. An Exact Projection-Based Algorithm for Bilevel Mixed-Integer Problems with Nonlinearities 2020 Preprint (Optimization Online), submitted to Journal of Global Optimization   article
url  
BibTeX:
@article{Merkert2021,
  author = {Maximilian Merkert and Galina Orlinskaya and Dieter Weninger},
  title = {An Exact Projection-Based Algorithm for Bilevel Mixed-Integer Problems with Nonlinearities},
  journal = {Preprint (Optimization Online), submitted to {Journal of Global Optimization}},
  year = {2020},
  note = {submitted},
  url = {http://www.optimization-online.org/DB_HTML/2020/12/8153.html}
}
Sager, S., Bernhardt, F., Kehrle, F., Merkert, M., Potschka, A., Meder, B., Katus, H. & Scholz, E. Expert-Enhanced Machine Learning for Cardiac Arrhythmia Classification 2019 Preprint (Optimization Online)   article
url  
BibTeX:
@article{Sager2020,
  author = {Sager, S. and Bernhardt, F. and Kehrle, F. and Merkert, M. and Potschka, A. and Meder, B. and Katus, H. and Scholz, E.},
  title = {Expert-Enhanced Machine Learning for Cardiac Arrhythmia Classification},
  journal = {Preprint (Optimization Online)},
  year = {2019},
  note = {submitted},
  url = {http://www.optimization-online.org/DB_HTML/2019/10/7421.html}
}
Bärmann, A., Gellermann, T., Merkert, M. & Schneider, O. Staircase compatibility and its applications in scheduling and piecewise linearization 2018 Discrete Optimization   article DOI
url  
BibTeX:
@article{Baermann2018a,
  author = {Andreas B\"{a}rmann and Thorsten Gellermann and Maximilian Merkert and Oskar Schneider},
  title = {Staircase compatibility and its applications in scheduling and piecewise linearization},
  journal = {Discrete Optimization},
  year = {2018},
  volume = {29},
  pages = {111--132},
  url = {http://www.sciencedirect.com/science/article/pii/S1572528618300306},
  doi = {https://doi.org/10.1016/j.disopt.2018.04.001}
}
Merkert, M. Solving Mixed-Integer Linear and Nonlinear Network Optimization Problems by Local Reformulations and Relaxations 2017 School: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)   phdthesis
url  
BibTeX:
@phdthesis{Merkert2017,
  author = {Maximilian Merkert},
  title = {Solving Mixed-Integer Linear and Nonlinear Network Optimization Problems by Local Reformulations and Relaxations},
  school = {Friedrich-Alexander-Universit{\"a}t Erlangen-N{\"u}rnberg (FAU)},
  year = {2017},
  url = {https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/9403}
}
Liers, F. & Merkert, M. Structural Investigation of Piecewise Linearized Network Flow Problems 2016 SIAM Journal on Optimization   article DOI
url  
BibTeX:
@article{Liers2016,
  author = {Frauke Liers and Maximilian Merkert},
  title = {Structural Investigation of Piecewise Linearized Network Flow Problems},
  journal = {SIAM Journal on Optimization},
  year = {2016},
  volume = {26},
  number = {4},
  pages = {2863-2886},
  url = {https://www.mso.math.fau.de/fileadmin/wima/publications/Liers_Merkert_StructInvPWLFlow_PreprintFinal-1016.pdf},
  doi = {http://dx.doi.org/10.1137/15M1006751}
}
Bärmann, A., Liers, F., Martin, A., Merkert, M., Thurner, C. & Weninger, D. Solving Network Design Problems via Iterative Aggregation 2015 Mathematical Programming Computations   article DOI
url  
BibTeX:
@article{Baermann2015,
  author = {Andreas B\"{a}rmann and Frauke Liers and Alexander Martin and Maximilian Merkert and Christoph Thurner and Dieter Weninger},
  title = {Solving Network Design Problems via Iterative Aggregation},
  journal = {Mathematical Programming Computations},
  year = {2015},
  volume = {7},
  number = {2},
  pages = {189-217},
  organization = {FAU Erlangen N\"{u}rnberg},
  url = {http://link.springer.com/article/10.1007/s12532-015-0079-1},
  doi = {http://dx.doi.org/10.1007/s12532-015-0079-1}
}
Leithäuser, N., Krumke, S. O. & Merkert, M. Approximating Infeasible 2VPI-Systems 2012 Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selected Papers   inbook
 
BibTeX:
@inbook{Leithaeuser2012,
  author = {Leith{\"a}user, Neele and Krumke, Sven O. and Merkert, Maximilian},
  title = {Approximating Infeasible 2VPI-Systems},
  booktitle = {Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selected Papers},
  publisher = {Springer Berlin Heidelberg},
  year = {2012},
  editor = {Golumbic, Martin Charles and Stern, Michal and Levy, Avivit and Morgenstern, Gila},
  pages = {225--236},
  address = {Berlin, Heidelberg}
}

Further references of the MathOpt group can be found on this page.

  • Jun 22nd 2021, Andreas Himmel succesfully defended his PhD thesis on "Optimization-based Operation Strategy and Storage Design for Coupled Processes".

...more

Prof. Dr. Sebastian Sager
Head of MathOpt group
at the Institute of Mathematical Optimization
at the Faculty of Mathematics
at the Otto-von-Guericke University Magdeburg

Universitätsplatz 2, 02-224
39106 Magdeburg, Germany

: +49 391 67 58745
:

Susanne Heß

Universitätsplatz 2, 02-201
39106 Magdeburg, Germany

: +49 391 67 58756
:

  • Jun 22nd 2021, Andreas Himmel succesfully defended his PhD thesis on "Optimization-based Operation Strategy and Storage Design for Coupled Processes".

...more

Prof. Dr. Sebastian Sager
Head of MathOpt group
at the Institute of Mathematical Optimization
at the Faculty of Mathematics
at the Otto-von-Guericke University Magdeburg

Universitätsplatz 2, 02-224
39106 Magdeburg, Germany

: +49 391 67 58745
:

Susanne Heß

Universitätsplatz 2, 02-201
39106 Magdeburg, Germany

: +49 391 67 58756
: