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.

Hildenbrandt, Regina;
Stochastic dynamic programming with random disturbances. - In: Discussiones mathematicae, ISSN 1509-9423, Bd. 23 (2003), 1, S. 5-44

Hoffmann, Armin; Marx, Bernd; Metzger, Bob
Linear ODE's for describing sigma-delta-modulators, filter design and error estimations. - In: New trends in difference equations, (2002), S. 159-171

A Sigma-Delta Modulator of order 2 is approximated by a differential equation of first order. An error estimation with respect to the real time behavior of order O(1/m^2) is given, where m is the number of bits used for the filtering. A filter with this error bound related to the moving mean value of the input signal is proposed.

Ginchev, Ivan; Hoffmann, Armin
Approximation of set-valued functions by single-valued one. - In: Discussiones mathematicae, ISSN 1509-9407, Bd. 22 (2002), 1, S. 33-66

Hildenbrandt, Regina;
Partitions-requirements-matrices. - In: Operations research proceedings 2001, (2002), S. 303-310

Rückmann, Jan-J.; Stein, Oliver
On linear and linearized generalized semi-infinite optimization problems. - In: Annals of operations research, ISSN 1572-9338, Bd. 101 (2001), 1/4, S. 191-208

http://dx.doi.org/10.1023/A:1010972524021

Rückmann, Jan-J.; Shapiro, Alexander
Second-order optimality conditions in generalized semi-infinite programming. - In: Set-valued analysis, ISSN 1572-932X, Bd. 9 (2001), 1/2, S. 169-186

http://dx.doi.org/10.1023/A:1011239607220

Ward, Doug E.; Fiacco, Anthony V.; Klatte, Diethard; Rückmann, Jan-J.
[Festschrift in honor of Professor Anthony V. Fiacco]. - Optimization with data perturbations ; 2. - Dordrecht : Kluwer Academic Publishers, 2001. - 460 Seiten. - (Annals of operations research ; 101)Literaturangaben

Cegielski, Andrzej; Hoffmann, Armin
Papers of the German-Polish Conference on Optimization - Methods and Applications, Zagan, Poland, September 13 - 17, 1999. - Zielona Góra : Techn. Univ. Press, 2000. - S. 141-278. - (Discussiones mathematicae / Differential inclusions, control and optimization ; 20.2000,2)

Hichert, Jens; Hoffmann, Armin; Phú, Hoàng Xuân; Reinhardt, Rüdiger
A primal-dual integral method in global optimization. - In: Discussiones mathematicae, ISSN 1509-9407, Bd. 20 (2000), 2, S. 257-278

German-Polish Conference on Optimization - Methods and Applications : held in Żagaân (Poland) on September 13 - 17, 1999 ; [15 evaluated papers]. - Zielona Góra : Techn. Univ. Press, 2000. - 140 S. - (Discussiones mathematicae)

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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.