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, OptimizationOnline, accepted for publication in Journal of Applied and Numerical Optimization, 2022.
- 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: Mathematics for economics and social sciences 1
Monday: 01:00 p.m., Sr HU 211/212
Bachelor MW FS1 - Exercise: Mathematics for economics and social sciences 1
Monday: 03:00 p.m., Sr HU 012
AMW FS1 Gruppe 2 - Exercise: Mathematics for economics and social sciences 1
Wednesday, 03:00 p.m., Sr K 2003A
AMW FS1 Gruppe 1
Information on the courses can be found on moodle.
- Exercise: Global Optimization
(Bachelor MA FS 6 + Master MAW FS 2)
(u) Monday: 09.00 a.m., C-Hs
- Exercise: Mathematics for economics and social sciences 2
(Bachelor WI FS 2)
Monday: 11:00 a.m., Sr K 2035 - Exercise: Mathematics 2
(Diplom MB FS 2)
Tuesday: 01:00 p.m., Sr K 2039 - Exercise: Mathematics 2
(Diplom MB FS 2)
Wednesday: 01:00 p.m., Sr H 2507
- 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.