Dr. Tobias Gerlach

Nonlinear Optimization

• Set Optimization and Set-valued Analysis

• Vector Optimization

• Global scalar-valued optimization

Optimized formulations for plastic modification

Firma GRAFE Advanced Polymers GmbH

2020 - 2021

Investigating the applicability of mathematical methods for creating optimized formulations for plastic modification.

Rüdiger Reinhardt, Armin Hoffmann and Tobias Gerlach, Nichtlineare Optimierung - Theorie, Numerik und Experimente, Springer Spektrum, 2012, 383 p., ISBN: 978-3-8274-2948-3.

• Gabriele Eichfelder, Tobias Gerlach, Stefan Rocktäschel, Convexity and continuity of specific set-valued maps and their extremal value functions, Journal of Applied and Numerical Optimization, 5(1),
  71-92, 2023.
• Robert Baier, Gabriele Eichfelder and Tobias Gerlach ,,Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets, Optimization, 71(8), 2273-2314, 2022.
• Tobias Gerlach and Stefan Rocktäschel, On convexity and quasiconvexity of extremal value functions in set optimization, Applied Set-Valued Analysis and Optimization, 3(3), 293-308 , 2021.
• Gabriele Eichfelder and Tobias Gerlach, On classes of set optimization problems which are reducible to vector optimization problems and its impact on numerical test instances, Chapter 10 in: "Variational Analysis and Set Optimization", A. Khan, E. Köbis and C. Tammer (Eds.), 265-290, CRC Press (Taylor & Francis Group), 2019. See also  OptimizationOnline.
• Gabriele Eichfelder and Tobias Gerlach, Characterization of properly optimal elements with variable ordering structures, Optimization, 65(3), 571-588, 2016.
• Gabriele Eichfelder, Tobias Gerlach and Susanne Sumi, A modification of the alphaBB method for box-constrained optimization and an application to inverse kinematics, EURO Journal on Computational Optimization, 4(1), 93-121, 2016. [pdf].
• Tobias Gerlach, Rene Golembewski and Günter Schäfer, Efficient Communication for Large-scale Robust Image Processing with Smart Camera Devices, IEEE Symposium on Computational Intelligence for Security and Defense Applications (CISDA 2012), Ottawa, Canada, 2012.
• Tobias Gerlach, Günter Schäfer and Sander Wozniak, Optimization-based secure multi-hop localization in wireless ad hoc networks, in:17th GI/ITG Conference on Communication in Distributed Systems (KiVS 2011), Kiel, Germany, 182-187, 2011.
• Thomas Böhme, Tobias Gerlach and Michael Stiebitz, Ordered and linked chordal graphs,  Discussiones Mathematicae Graph Theory, 28, 367-373, 2008.
• Tobias Gerlach and Jochen Harant, On a cycle through a specified linear forest of a graph, Discrete Mathematics, 307, 892-895, 2007.
• Tobias Gerlach, Frank Göring, Jochen Harant and Michal Tkac, On cycles through specified vertices, Discrete Mathematics, 306, 831-835, 2006.
• Tobias Gerlach, Toughness and Hamiltonicity of a class of planar graphs, Discrete Mathematics, 286, 61-65, 2004.
• Tobias Gerlach and Jochen Harant, On cycles through a set of specified vertices, Studies of the University of Zilina (Slovakia), 16, 35-46, 2003.
• Tobias Gerlach and Jochen Harant, A note on domination in bipartite graphs, Discussiones Mathematicae Graph Theory, 22, 229-231, 2002.

• Gabriele Eichfelder, Tobias Gerlach, Leo Warnow, A Test Instance Generator for Multiobjective Mixed-integer Optimization, OptimizationOnline, 2023.
• Gabriele Eichfelder, Tobias Gerlach, Leo Warnow, Test Instances for Multiobjective Mixed-Integerm Nonlinear Optimization, OptimizationOnline, 2023.

Information on the courses can be found on moodle.

• Exercise: Global optimization 
  Tuesday, 09:00 a.m., C 110 
  MA_BA_5.FS, MAW_MA_1.FS, TKS_MA_2.FS

• Exercise: Numerical methods of convex optimization
  Wednesday (odd weeks), 01:00 p.m., C 112
  MAW_MA_1.FS, MA_BA_5.FS

• Exercise: Mathematics for economics and social sciences 1
  Monday: 11:00 a.m., Sr K 2026
  AMW_BA_1.FS 2, AMW_BA_1.FS 4
• Exercise: Mathematics for economics and social sciences 1
  Wednesday, 03:00 p.m., Sr HU 210
  AMW_BA_1.FS 1

Information on the courses can be found on moodle.

• Exercise: Mathematics 2
  (Bachelor BT FS2)
  Monday: 01:00 p.m., Sr H 2507
• Lecture:  Applied Optimization
  (Bachelor IN FS4 WW, MA and Master IN)
  Monday: 03:00 p.m., C-Hs
• (Bachelor IN FS4 WW, MA and Master IN)
  Exercise: Applied Optimization
  Tuesday: 07:00 a.m., C-Hs

• Exercise: Mathematics for economics and social sciences 2
  (Bachelor TBW FS2 and Bachelor MW FS2)
  Tuesday: 11:00 a.m., Sr OEC 3007

• Exercise: Mathematics 2 (with Leo Warnow)
  (Bachelor BT FS2)
  Wednesday: 03:00 p.m., Sr K 2035

• Workshop "Vektor- und Mengenwertige Optimierung"
  Test instances for multi-objective mixed-integer optimization
  03.11.2022 - 04.11.2022
  Wittenberg
• Workshop "Vektor- und Mengenwertige Optimierung"
  Skin sets and a new directional derivate for set-valued maps
  24.10.2019 - 25.10.2019
  Wittenberg
• Workshop Optimierung
  On special classes of set optimization problems and test instances
  14.03.2019 - 15.03.2019
  Olbernhau
• Workshop "Vektor- und Mengenwertige Optimierung"
  On special classes of set optimization problems, test instances and an easy solution approach
  25.10.2018 - 26.10.2018
  Wittenberg
• Workshop "Vektor- und Mengenwertige Optimierung"
  Characterization of proper optimal elements with variable ordering
  01.10.2014  -  02.10.2014
  Wittenberg
• Colloquium on Combinatorics
  On cycles through specified vertices
  15.11.2002 - 16.11.2002
  Magdeburg
• Workshop Cycles and Colourings '01
  On longest cycles in chordal polyhedral graphs
  09.09.2001 - 14.09.2001
  Stara Lesna, Slovakia

Workshop Optimierung

More information is available here.