Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen OPUS4-4264 misc Büsing, Christina; D'Andreagiovanni, Fabio A new theoretical framework for Robust Optimization under multi-band uncertainty We provide an overview of our main results about studying Linear Programming Problems whose coefficient matrix is subject to uncertainty and the uncertainty is modeled through a multi-band set. Such an uncertainty set generalizes the classical one proposed by Bertsimas and Sim and is particularly suitable in the common case of arbitrary non-symmetric distributions of the parameters. Our investigations were inspired by practical needs of our industrial partner in ongoing projects with focus on the design of robust telecommunications networks. 2013 urn:nbn:de:0297-zib-42644 10.1007/978-3-319-00795-3_17 Mathematical Optimization OPUS4-4255 misc Bauschert, Thomas; Büsing, Christina; D'Andreagiovanni, Fabio; Koster, Arie M.C.A.; Kutschka, Manuel; Steglich, Uwe Network Planning under Demand Uncertainty with Robust Optimization The planning of a communication network is inevitably depending on the quality of both the planning tool and the demand forecast used. In this article, we show exemplarily how the emerging area of Robust Optimization can advance the network planning by a more accurate mathematical description of the demand uncertainty. After a general introduction of the concept and its application to a basic network design problem, we present two applications: multi-layer and mixed-line-rate network design. We conclude with a discussion of extensions of the robustness concept to increase the accuracy of handling uncertainties. 2013 urn:nbn:de:0297-zib-42557 10.1109/MCOM.2014.6736760 Mathematical Optimization OPUS4-4409 misc Büsing, Christina; D'Andreagiovanni, Fabio; Raymond, Annie 0-1 Multiband Robust Optimization We provide an overview of new theoretical results that we obtained while further investigating multiband robust optimization, a new model for robust optimization that we recently proposed to tackle uncertainty in mixed-integer linear programming. This new model extends and refines the classical Gamma-robustness model of Bertsimas and Sim and is particularly useful in the common case of arbitrary asymmetric distributions of the uncertainty. Here, we focus on uncertain 0-1 programs and we analyze their robust counterparts when the uncertainty is represented through a multiband set. Our investigations were inspired by the needs of our industrial partners in the research project ROBUKOM. 2013 urn:nbn:de:0297-zib-44093 Mathematical Optimization