EAGLE-Starthilfe Mathematik und Gesellschaft : zur Funktion der angewandten Mathematik. - Leipzig : Edition am Gutenbergplatz Leipzig, 2016. - 97 Seiten. - (Eagle ; 093. Eagle-Starthilfe) ISBN 978-3-95922-093-4
Literaturverzeichnis: Seite 91-94
Lower bounds on the sum choice number of a graph. - In: Electronic notes in discrete mathematics, ISSN 1571-0653, Bd. 53 (2016), S. 421-431
http://dx.doi.org/10.1016/j.endm.2016.05.036
Decision uncertainty in multiobjective optimization. - Ilmenau : Technische Universität, Institut für Mathematik, 2016. - 1 Online-Ressource (27 Seiten). - (Preprint ; M16,06)
In many real-world optimization problems, a solution cannot be realized in practice exactly as computed, e.g., it may be impossible to produce a board of exactly 3.546˜mm width. Whenever computed solutions are not realized exactly but in a perturbed way, we speak of decision uncertainty. We study decision uncertainty in multiobjective optimization problems and we propose the concept decision robust efficiency for evaluating the robustness of a solution in this case. Therefore, we address decision uncertainty within the framework of set-valued maps. First, we prove that convexity and continuity are preserved by the resulting set-valued mappings. Second, we obtain specific results for particular classes of objective functions that are relevant for solving the set-valued problem. We furthermore prove that decision robust efficient solutions can be found by solving a deterministic problem in case of linear objective functions. We also investigate the relationship of the proposed concept to other concepts in the literature.
https://www.db-thueringen.de/receive/dbt_mods_00030032
Towards dynamic contract extension in supplier development. - In: Logistics research, ISSN 1865-0368, Bd. 9.2016, Article 14, insg. 12 Seiten
We consider supplier development within a supply chain consisting of a single manufacturer and a single supplier. Because investments in supplier development are usually relationship-specific, safeguard mechanisms against the hazards of partner opportunism have to be installed. Here, formal contracts are considered as the primary measure to safeguard investments. However, formal contracts entail certain risks, e.g., a lack of flexibility, particular in an ambiguous environment. We propose a receding horizon control scheme to mitigate possible contractual drawbacks while significantly enhancing the supplier development process and, thus, to increase the overall supply chain profit. Our findings are validated by a numerical case study.
http://hdl.handle.net/10419/157739
On longest cycles in essentially 4-connected planar graphs. - In: Discussiones mathematicae, ISSN 2083-5892, Bd. 36 (2016), 3, S. 565-575
http://dx.doi.org/10.7151/dmgt.1875
Model predictive control of nonholonomic mobile robots without stabilizing constraints and costs. - In: IEEE transactions on control systems technology, ISSN 1558-0865, Bd. 24 (2016), 4, S. 1394-1406
http://dx.doi.org/10.1109/TCST.2015.2488589
The k-server problem with parallel requests and the compound Harmonic algorithm. - In: Baltic journal of modern computing, ISSN 2255-8950, Bd. 4 (2016), 3, S. 607-629
In this paper the (randomized) compound Harmonic algorithm for solving the generalized k-server problem is proposed. This problem is an online k-server problem with parallel requests where several servers can also be located on one point. In 2000 Bartal and Grove have proved that the well-known Harmonic algorithm is competitive for the (usual) k-server problem. Unfortunately, certain techniques of this proof cannot be used to show that a natural generalization of the Harmonic algorithm is competitive for the problem with parallel requests. The probabilities, which are used by the compound Harmonic algorithm are, finally, derived from a surrogate problem, where at most one server must be moved in servicing the request in each step. We can show that the compound Harmonic algorithm is competitive with the bound of the ratio as which has been proved by Bartal and Grove in the case of the usual problem.
http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2016200094
Limit-point/limit-circle classification of second-order differential operators arising in PT quantum mechanics. - Ilmenau : Technische Universität, Institut für Mathematik, 2016. - 1 Online-Ressource (6 Seiten). - (Preprint ; M16,03)
https://www.db-thueringen.de/receive/dbt_mods_00029270
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R. - Ilmenau : Technische Universität, Institut für Mathematik, 2016. - 1 Online-Ressource (4 Seiten). - (Preprint ; M16,05)
A simple explicit bound on the absolute values of the non-real eigenvalues of a singular indefinite Sturm-Liouville operator on the real line with the weight function sgn(&hahog;) and an integrable, continuous potential q is obtained.
https://www.db-thueringen.de/receive/dbt_mods_00029271
On the parametric eigenvalue behavior of matrix pencils under rank one perturbations. - Ilmenau : Technische Universität, Institut für Mathematik, 2016. - 1 Online-Ressource (8 Seiten). - (Preprint ; M16,04)
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a complex parameter. We prove properties of the corresponding eigenvalue sets including a convergence result as the parameter tends to infinity and an eigenvalue interlacing property for real valued pencils having real eigenvalues only.
https://www.db-thueringen.de/receive/dbt_mods_00029233