B&B Frameworks for the Capacity Expansion of High Speed Telecommunication Networks Under Uncertainty |
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| Authors: | R. Andrade A. Lisser N. Maculan G. Plateau |
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| Affiliation: | (1) Université de Paris Nord, LIPN-CNRS UMR 7030, Institut Galilée, Avenue J.-B. Clément, 93430 Villetaneuse, France;(2) Université de Paris Sud, LRI-CNRS UMR 8623, Bat 490 Université Paris Sud, 91405 Orsay Cedex, France;(3) Universidade Federal do Rio de Janeiro, COPPE-Sistemas, C.P. 68511, 21945-970 Rio de Janeiro, Brasil;(4) Université de Paris Nord, LIPN-CNRS UMR 7030, Institut Galilée, Avenue J.-B. Clément, 93430 Villetaneuse, France |
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| Abstract: | The purpose of this paper is to investigate branch and bound strategies and the comparison of branch and cut with pure branch and bound approaches on high speed telecommunication network design under uncertainty. We model the problem as a two-stage stochastic program with discrete first-stage (investment) variables. Two formulations of the problem are used. The first one with general integer investment variables and the second one, a variant of the first model, with 0-1 investment variables. We present computational results for three solution approaches: the integer L-shaped (Benders) decomposition, a branch and bound framework and a disjunctive cutting plane method. This work was supported by France Telecom. |
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| Keywords: | stochastic integer programming integer L-shaped decomposition branch and bound network design |
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