Real-world telecommunication networks consist of a stack of technologically different subnetworks, so-called layers, which are strongly interdependent. These layers have a client-server relation: each layer is embedded into another one, i.e., links of a client layer are realized by paths in a server layer. For example, one layer may correspond to an Internet (IP) backbone network whose links are realized by light-paths in an underlying optical fiber layer, a so-called DWDM network. In this project we develop mathematical models and algorithms for a joint planning of several network layers. Such an integrated planning approach is of increasing importance for network providers because of its potential for cost and energy reductions.

Our aims are twofold: On the one hand, we want to develop realistic models and suitable algorithms which can be used for solving real-world problems in practice. To achieve this goal, we cooperate with several telecommunication companies. On the other hand, we want to further understand the mathematical structure of these planning problems, in order to get quality guarantees for obtained solutions and to further improve existing solution methods.

Publications

2014
A fast hybrid primal heuristic for multiband robust capacitated network design with multiple time periods Applied Soft Computing, Vol.26, pp. 497-507, 2014 (preprint available as ) Fabio D'Andreagiovanni, Jonatan Krolikowski, Jonad Pulaj BibTeX
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Integrated Planning of Multi-layer Telecommunication Networks
Mathematics for telecommunications MATHEON - Mathematics for Key Technologies, Vol.1, pp. 75-89, Peter Deuflhard, Martin Grötschel, Dietmar Hömberg, Ulrich Horst, Jürg Kramer, Volker Mehrmann, Konrad Polthier, Frank Schmidt, Christof Schütte, Martin Skutella, Jürgen Sprekels (Eds.), European Mathematical Society, EMS Series in Industrial and Applied Mathematics, 2014 Axel Werner, Frank Aurzada, Andreas Bley, Andreas Eisenblätter, Hans-Florian Geerdes, Mijail Guillemard, Gitta Kutyniok, Friedrich Philipp, Christian Raack, Michael Scheutzow BibTeX
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Integrated Planning of Multi-layer Telecommunication Networks
Multiband Robust Optimization and its Adoption in Harvest Scheduling Proc. of FORMATH 2013, 2014 (preprint available as ) Fabio D'Andreagiovanni, Annie Raymond BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
2013
0-1 Multiband Robust Optimization Operations Research Proceedings 2013, Selected Papers of the International Annual Conference of the German Operations Research Society (GOR), 2013 (preprint available as ) Christina Büsing, Fabio D'Andreagiovanni, Annie Raymond BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
Robust optimization under multiband uncertainty CTW 2013, pp. 35-38, 2013 Christina Büsing, Fabio D'Andreagiovanni, Annie Raymond BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
2012
Optimal Degree of Optical Circuit Switching in IP-over-WDM Networks ZIB-Report 11-50 (Appeared in: Proc. of the 16th conf. on optical network design and modeling ONDM 2012, pp. 1-6) Ulrich Menne, Christian Raack, Roland Wessäly, Daniel Kharitonov PDF
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Integrated Planning of Multi-layer Telecommunication Networks
2011
A note on the MIR closure and basic relaxations of polyhedra Optimization Research Letters, 39(3), pp. 198-199, 2011 Sanjeeb Dash, Oktay Günlük, Christian Raack BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
Affine recourse for the robust network design problem: between static and dynamic routing ZIB-Report 11-03 (Appeared in: Networks 61/2 (2013) pp. 180-198) Michael Poss, Christian Raack PDF
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Integrated Planning of Multi-layer Telecommunication Networks
Dynamic routing at different layers in IP-over-WDM networks – Maximizing energy savings Optical Switching and Networking, Special Issue on Green Communications, 2011 (preprint available as ZIB-Report 10-07) Filip Idzikowski, Sebastian Orlowski, Christian Raack, Hagen Woesner, Adam Wolisz PDF (ZIB-Report)
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Integrated Planning of Multi-layer Telecommunication Networks
Robust Network Design: Formulations, Valid Inequalities, and Computations ZIB-Report 11-34 Arie M.C.A. Koster, Manuel Kutschka, Christian Raack PDF
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Integrated Planning of Multi-layer Telecommunication Networks
2010
Saving energy in IP-over-WDM networks by switching off line cards in low-demand scenarios Proceedings of the 14th conference on Optical network design and modeling, pp. 42-47, ONDM’10, 2010 Filip Idzikowski, Sebastian Orlowski, Christian Raack, Hagen Woesner, Adam Wolisz BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
The MCF-Separator – Detecting and Exploiting Multi-Commodity Flows in MIPs Mathematical Programming C, pp. 125-165, 2010 (preprint available as ZIB-Report 09-38) Tobias Achterberg, Christian Raack PDF (ZIB-Report)
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Integrated Planning of Multi-layer Telecommunication Networks
Towards Robust Network Design using Integer Linear Programming Techniques Proceedings of the NGI 2010, Paris, France, 2010 Arie M.C.A. Koster, Manuel Kutschka, Christian Raack BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
2009
A packing integer program arising in two-layer network design Proceedings of the INOC 2009, Pisa, Italy, 2009 Arie M.C.A. Koster, C. Raack BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
Branch-and-cut techniques for solving realistic two-layer network design problems Graphs and Algorithms in Communication Networks, Springer Berlin Heidelberg, pp. 95-118, 2009 Arie M.C.A. Koster, Sebastian Orlowski, Christian Raack, Georg Baier, Thomas Engel, Pietro Belotti BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
2008
Multi-layer network design – A model-based optimization approach Proceedings of the PGTS 2008, Berlin, Germany, pp. 107-116, 2008 Andreas Bley, Ulrich Menne, Roman Klähne, Christian Raack, Roland Wessäly BibTeX
Integrated Planning of Multi-layer Telecommunication Networks
2007
Capacitated network design using general flow-cutset inequalities ZIB-Report 07-14 Christian Raack, Arie M.C.A. Koster, Sebastian Orlowski, Roland Wessäly PDF
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Integrated Planning of Multi-layer Telecommunication Networks
On the strength of cut-based inequalities for capacitated network design polyhedra ZIB-Report 07-08 Christian Raack, Arie M.C.A. Koster, Roland Wessäly PDF
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Integrated Planning of Multi-layer Telecommunication Networks
SNDlib 1.0--Survivable Network Design Library ZIB-Report 07-15 (A shortened version appeared in: Proceedings of International Network Optimization Conference (INOC 2007), Spa, Belgien, April 2007) Sebastian Orlowski, Michal Pioro, Artur Tomaszewski, Roland Wessäly PDF
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Integrated Planning of Multi-layer Telecommunication Networks
Single-layer Cuts for Multi-layer Network Design Problems ZIB-Report 07-21 (Appeared in: Telecommunications Modeling, Policy, and Technology. S. Raghavan et al. (eds.) Springer 2008. ISBN 978-0-387-77779-5, pp. 1-23) Arie M.C.A. Koster, Sebastian Orlowski, Christian Raack, Georg Bayer, Thomas Engel PDF
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Integrated Planning of Multi-layer Telecommunication Networks
2006
Two-layer Network Design by Branch-and-Cut featuring MIP-based Heuristics ZIB-Report 06-47 (Appeared in: Proceedings International Network Optimization Conference, INOC 2007, Spa, Belgium.) Sebastian Orlowski, Arie M.C.A. Koster, Christian Raack, Roland Wessäly PDF
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Integrated Planning of Multi-layer Telecommunication Networks
2005
Employing Mixed-Integer Rounding in Telecommunication Network Design Master's thesis, 2005 Christian Raack PDF
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Integrated Planning of Multi-layer Telecommunication Networks