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B&B Frameworks for the Capacity Expansion of High Speed Telecommunication Networks Under Uncertainty

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  • R. Andrade
  • A. Lisser
  • N. Maculan
  • G. Plateau

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. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • R. Andrade & A. Lisser & N. Maculan & G. Plateau, 2005. "B&B Frameworks for the Capacity Expansion of High Speed Telecommunication Networks Under Uncertainty," Annals of Operations Research, Springer, vol. 140(1), pages 49-65, November.
    • Handle: RePEc:spr:annopr:v:140:y:2005:i:1:p:49-65:10.1007/s10479-005-3967-3
    DOI: 10.1007/s10479-005-3967-3
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    References listed on IDEAS

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    1. Caroe, Claus C. & Tind, Jorgen, 1997. "A cutting-plane approach to mixed 0-1 stochastic integer programs," European Journal of Operational Research, Elsevier, vol. 101(2), pages 306-316, September.
    2. Egon Balas & Sebastián Ceria & Gérard Cornuéjols, 1996. "Mixed 0-1 Programming by Lift-and-Project in a Branch-and-Cut Framework," Management Science, INFORMS, vol. 42(9), pages 1229-1246, September.
    3. P. Chardaire & A. Lisser, 2002. "Simplex and Interior Point Specialized Algorithms for Solving Nonoriented Multicommodity Flow Problems," Operations Research, INFORMS, vol. 50(2), pages 260-276, April.
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    Cited by:

    1. Rafael Andrade & Abdel Lisser & Nelson Maculan, 2012. "Multi-service multi-facility network design under uncertainty," Annals of Operations Research, Springer, vol. 199(1), pages 157-178, October.
    2. Rafael Andrade & Abdel Lisser & Nelson Maculan & Gérard Plateau, 2006. "Enhancing a Branch-and-Bound Algorithm for Two-Stage Stochastic Integer Network Design-Based Models," Management Science, INFORMS, vol. 52(9), pages 1450-1455, September.

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