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A nested benders decomposition approach for telecommunication network planning

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  • Joe Naoum‐Sawaya
  • Samir Elhedhli

Abstract

Despite its ability to result in more effective network plans, the telecommunication network planning problem with signal‐to‐interference ratio constraints gained less attention than the power‐based one because of its complexity. In this article, we provide an exact solution method for this class of problems that combines combinatorial Benders decomposition, classical Benders decomposition, and valid cuts in a nested way. Combinatorial Benders decomposition is first applied, leading to a binary master problem and a mixed integer subproblem. The subproblem is then decomposed using classical Benders decomposition. The algorithm is enhanced using valid cuts that are generated at the classical Benders subproblem and are added to the combinatorial Benders master problem. The valid cuts proved efficient in reducing the number of times the combinatorial Benders master problem is solved and in reducing the overall computational time. More than 120 instances of the W‐CDMA network planning problem ranging from 20 demand points and 10 base stations to 140 demand points and 30 base stations are solved to optimality. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010

Suggested Citation

  • Joe Naoum‐Sawaya & Samir Elhedhli, 2010. "A nested benders decomposition approach for telecommunication network planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(6), pages 519-539, September.
    • Handle: RePEc:wly:navres:v:57:y:2010:i:6:p:519-539
    DOI: 10.1002/nav.20419
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    References listed on IDEAS

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    Cited by:

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    5. Jonas Christoffer Villumsen & Joe Naoum‐Sawaya, 2016. "Column generation for stochastic green telecommunication network planning with switchable base stations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(5), pages 351-366, August.
    6. N. Beheshti Asl & S. A. MirHassani, 2019. "Accelerating benders decomposition: multiple cuts via multiple solutions," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 806-826, April.

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