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Publications

Publications at the institute since 1990

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Niebling, Julia; Eichfelder, Gabriele;
A branch-and-bound algorithm for bi-objective problems. - In: Proceedings of the XIII Global Optimization Workshop : GOW'16, 4-8 September 2016, University of Minho, Braga, Portugal.. - Braga, Portugal : University of Minho, ISBN 978-989-20-6764-3, (2016), S. 57-60

An improved discarding test for a branch-and-bound algorithm for box-constrained bi-objective optimization problems is presented. The aim of the algorithm is to compute a covering of all global optimal solutions. We introduce the algorithm which uses selection, discarding and termination tests. The discarding tests are the most important aspect, because they examine in different ways whether a box can contain optimal solutions. For this, we are using the alphaBB-method from global scalar optimization and present and discuss an improved test compared to those from the literature.



http://hdl.handle.net/1822/42944
Eichfelder, Gabriele; Pilecka, Maria;
Set approach for set optimization with variable ordering structures : part II: scalarization approaches. - In: Journal of optimization theory and applications. - Dordrecht [u.a.] : Springer Science + Business Media, ISSN 1573-2878, Bd. 171 (2016), 3, S. 947-963

http://dx.doi.org/10.1007/s10957-016-0993-z
Eichfelder, Gabriele; Pilecka, Maria;
Set approach for set optimization with variable ordering structures : part I: set relations and relationship to vector approach. - In: Journal of optimization theory and applications. - Dordrecht [u.a.] : Springer Science + Business Media, ISSN 1573-2878, Bd. 171 (2016), 3, S. 931-946

http://dx.doi.org/10.1007/s10957-016-0992-0
Alt, Helmut; Payne, Michael S.; Schmidt, Jens M.; Wood, David R.;
Thoughts on Barnette's conjecture. - In: The Australasian journal of combinatorics. - Queensland : Centre for Discrete Mathematics and Computing, Univ. of Queensland, ISSN 1034-4942, Bd. 64 (2016), S. 354-365

http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2016200298
Babovsky, Hans;
Discrete velocity models: bifurcations, hydrodynamic limits and application to an evaporation condensation problem. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1786 (2016), S. 070005, insges. 6 S.

http://dx.doi.org/10.1063/1.4967581
Babovsky, Hans; Grabmeier, Johannes;
Calculus and design of discrete velocity models using computer algebra. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1786 (2016), S. 180003, insges. 8 S.

http://dx.doi.org/10.1063/1.4967672
Schmidt, Jens M.;
Mondshein sequences (a.k.a. (2,1)-orders). - In: SIAM journal on computing : a publication of the Society for Industrial and Applied Mathematics.. - Philadelphia, Pa. : SIAM, ISSN 1095-7111, Bd. 45 (2016), 6, S. 1985-2003

http://dx.doi.org/10.1137/15M1030030
Mnich, Matthias; Rutter, Ignaz; Schmidt, Jens M.;
Linear-time recognition of map graphs with outerplanar witness. - In: 15th Scandinavian Symposium and Workshops on Algorithm Theory : SWAT 2016, June 22-24, 2016, Reykjavik, Iceland.. - Saarbrücken/Wadern, Germany : Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, (2016), Seite 5:1-5:14

https://doi.org/10.4230/LIPIcs.SWAT.2016.5
Jacob, Birgit; Langer, Matthias; Trunk, Carsten;
Variational principles for self-adjoint operator functions arising from second-order systems. - In: Operators and matrices : OaM.. - Zagreb : Element, Bd. 10 (2016), 3, S. 501-531

http://dx.doi.org/10.7153/oam-10-29
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten;
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R. - In: Proceedings in applied mathematics and mechanics : PAMM.. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 881-882

http://dx.doi.org/10.1002/pamm.201610429