Publications

Recent publications of the group

D. Hoff and P. Mehlitz, Notes on the value function approach to multiobjective bilevel optimization, Optimization, DOI: https://doi.org/10.1080/02331934.2024.2323107, 2024.
G. Eichfelder, E. Quintana , Set-based Robust Optimization of Uncertain Multiobjective Problems via Epigraphical Reformulations, European Journal of Operational Research 313(3), 871-882, 2024. (OptimizationOnline)
G. Eichfelder and O. Stein, Limit sets in continuous global multiobjective optimization, 73(1), 1-27,Optimization, 2024. Preprint Get one of 50 free Downloads using this link.
G. Eichfelder, L. Grüne, L. Krügel, J. Schießl, Relaxed assumptions and a simplified algorithm for multiobjective MPC, Computational Optimization and Applications, 86, 1081–1116, 2023.
G. Eichfelder, O. Stein,, L. Warnow, A solver for multiobjective mixed-integer convex and nonconvex optimization, DOI 10.1007/s10957-023-02285-2, Journal of Optimization Theory and Application, 2023.
G. Eichfelder,T. Gerlach, L. Warnow, A Test Instance Generator for Multiobjective Mixed-integer Optimization, Mathematical Methods of Operations Research, DOI 10.1007/s00186-023-00826-z, 2023.
G. Eichfelder, L. Warnow, A hybrid patch decomposition approach to compute an enclosure for multi-objective mixed-integer convex optimization problems, Mathematical Methods of Operations Research, DOI 10.1007/s00186-023-00828-x, 2023.
G. Eichfelder, S. Rocktäschel, Solving set-valued optimization problems using a multiobjective approach, Optimization,72(3), 789-820, 2023.
G. Eichfelder, L. Warnow, Advancements in the computation of enclosures for multi-objective optimization problems, European Journal of Operational Research, 310(1), 315-327, see also OptimizationOnline, 2023.
G. Eichfelder, T. Gerlach, S. 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.
R. Baier, G. Eichfelder and T. Gerlach, Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets, Optimization, Vol 71(8), 2273-2314, 2022. Preprint. One of 50 free eprints.
G. Eichfelder, E. Quintana and S. Rocktäschel, A Vectorization Scheme for Nonconvex Set Optimization Problems, SIAM Journal on Optimization, 32(2), 1184-1209, 2022. pdf
G. Eichfelder and L. Warnow, An approximation algorithm for multi-objective optimization problems using a box-coverage, Journal of Global Optimization, 83, 329–357, 2022.
G. Eichfelder and P. Groetzner, A note on completely positive relaxations of quadratic problems in a multiobjective framework, Journal of Global Optimization, 82, 615-626, 2022.
M. De Santis, G. Eichfelder, D. Patria, On the exactness of the eps-constraint method for biobjective nonlinear integer programming, Operations Research Letters, 50(3), 356-361, 2022.

Further information can be found on the webpages of the individual authors.

Publications of the group (from the database of the library)

Information on the publications of the individual group members can be found on the individual pages. For the team see here.

Bernhard, Frank; Hoffmann, Armin; Reinhardt, Rüdiger
Optimal approximation of characteristics of standard thermocouples. - In: From measurement to innovation, (1994), S. 1396-1401

We consider the approximation of the characteristics of thermocouples by polynomials of given degree on the largest possible range such that an apriori given error for the temperature is not violated. The used mathematical methods belongs to the field of semi-infinite optimization and the approach can be interpreted as a kind of reverse Chebyshev approximation (see also Preprint M08/94 from 22-6-94 of the Institute of Mathematics of TU Ilmenau).

Hildenbrandt, Regina;
Eine Verbandsstruktur für Partitionen ganzer Zahlen. - Ilmenau : Techn. Univ., Inst. für Mathematik, 1994. - 9 S. = 392,4 KB. - (Preprint ; M94,14)
http://www.db-thueringen.de/servlets/DocumentServlet?id=5664

Hoffmann, Armin;
Duality and optimality conditions for infinite dimensional optimization problems. - In: System modelling and optimization, (1994), S. 425-436

Using a nonsymmetric duality for abstract continuous convex control problems optimality conditions are derived for calculating the primal and dual solutions in the case of linear on state depending dual operators. Functional and pointwise conditions are considered.

Hoffmann, Armin; Reinhardt, Rüdiger; Reinhardt, Rüdiger *1941-2021*;
Optimale Approximation der Kennlinien von Standard-Thermoelementen und anderen Sensoren. - In: Messen und Verarbeiten elektrischer und nichtelektrischer Größen, (1994), S. 435-441

We consider the approximation of the characteristics of thermocouples by polynomials of given degree on the largest possible range such that an apriori given error for the temperature is not violated. The used mathematical methods belongs to the field of semi-infinite optiization and the approach can be interpreted as a kind of reverse Chebyshev approxiamtion (see also Preprint M08/94 from 22-6-94 of the Institute of Mathematics of TU Ilmenau)

Nehse, Reinhard;
[Rezension von: Holler, Manfred J., 1946-, Einführung in die Spieltheorie]. - In: OR spectrum. - Berlin : Springer, ISSN 1436-6304, 1, S. 62
, Rezension von : Holler, Manfred J., 1946-: Einführung in die Spieltheorie. - Berlin [u.a.] : Springer, 1991
https://doi.org/10.1007/BF01783419

Nehse, Reinhard;
[Rezension von: Vincke, Philippe, 1951-, Multicriteria decision-aid]. - In: OR spectrum. - Berlin : Springer, ISSN 1436-6304, 1, S. 61
, Rezension von : Vincke, Philippe, 1951-: Multicriteria decision-aid. - Chichester [u.a.] : Wiley, 1992
https://doi.org/10.1007/BF01783419

Nehse, Reinhard;
[Rezension von: Bachem, Achim, 1947-, Linear programming duality]. - In: OR spectrum. - Berlin : Springer, ISSN 1436-6304, 3, S. 179
, Rezension von : Bachem, Achim, 1947-: Linear programming duality. - Berlin [u.a.] : Springer, 1992
https://doi.org/10.1007/BF02733720

Hildenbrandt, Regina;
A special stochastic decision problem. - In: Optimization, ISSN 1029-4945, Bd. 28 (1993), 1, S. 95-110

http://dx.doi.org/10.1080/02331939308843906

Brosowski, Bruno; Ester, Jochen; Helbig, Siegfried; Nehse, Reinhard
Multicriteria decision : proceedings of the 14th meeting of the German Working Group "Mehrkriterielle Entscheidung" ; [held ... in Riezlern, Kleines Walsertal, Austria, in September 22 - 27, 1991]. - Frankfurt am Main : P. Lang, 1993. - 188 S.. - (Approximation & [and] optimization ; 4) ISBN 3-631-45828-2
Literaturangaben

Elster, Karl-Heinz
Modern mathematical methods of optimization. - Berlin : Akademie-Verl., 1993. - 415 S.. - (Mathematical topics ; 1) ISBN 3-05-501452-9
Literaturangaben

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Recent publications of the group

Publications of the group (from the database of the library)

Information on the publications of the individual group members can be found on the individual pages. For the team see here.