Mathematical Algorithmic Optimization - Otto-von-Guericke-University Magdeburg

 
 
 
 
 
 
 
 
Maximilian Merkert

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

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.

Last Modification: 2021-02-23 - Contact Person: Maximilian Merkert - Impressum