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An approach to robust network designin telecommunications

Published online by Cambridge University Press:  11 October 2007

Georgios Petrou ,
Claude Lemaréchal  and
Adam Ouorou
Georgios Petrou
Affiliation:
France Télécom Division R&D, MCN-OTT, 38-40 rue du Général Leclerc, 92794 Issy-Les-Moulineaux Cedex 9, France; georgios.petrou@orange-ftgroup.com, adam.ouorou@orange-ftgroup.com
Claude Lemaréchal
Affiliation:
Inria, 655 avenue de l'Europe, Montbonnot, 38334 Saint Ismier, France; Claude.Lemarechal@inrialpes.fr
Adam Ouorou
Affiliation:
France Télécom Division R&D, MCN-OTT, 38-40 rue du Général Leclerc, 92794 Issy-Les-Moulineaux Cedex 9, France; georgios.petrou@orange-ftgroup.com, adam.ouorou@orange-ftgroup.com
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Abstract

In telecommunications network design, one of the most frequentproblems is to adjust the capacity on the links of the network in order to satisfy a set of requirements. In the past, theserequirements were demands based on historical data and/or demographic predictions. Nowadays, because of new technologydevelopment and customer movement due to competitiveness, thedemands present considerable variability. Thus, network robustness w.r.t demand uncertainty is now regarded as a majorconsideration. In this work, we propose a min-max-min formulation and a methodology to cope with this uncertainty. We model the uncertainty as the convex hull of certain scenarios and show thatcutting plane methods can be applied to solve the underlying problems. We will compare Kelley, Elzinga-Moore and bundle methods.

Keywords

Telecommunications network designrobust optimizationmin-max-min problemscutting plane methods
Type
Research Article
Information
RAIRO - Operations Research , Volume 41 , Issue 4 , October 2007 , pp. 411 - 426
Copyright
© EDP Sciences, ROADEF, SMAI, 2007

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