Journal of Heuristics

, Volume 17, Issue 5, pp 615–635 | Cite as

An adaptive multi-start graph partitioning algorithm for structuring cellular networks

  • Matías Toril
  • Volker Wille
  • Iñigo Molina-Fernández
  • Chris Walshaw
Article
  • 118 Downloads

Abstract

In mobile network design, the problem of assigning network elements to controllers when defining network structure can be modeled as a graph partitioning problem. In this paper, a comprehensive analysis of a sophisticated graph partitioning algorithm for grouping base stations into packet control units in a mobile network is presented. The proposed algorithm combines multi-level and adaptive multi-start schemes to obtain high quality solutions efficiently. Performance assessment is carried out on a set of problem instances built from measurements in a live network. Overall results confirm that the proposed algorithm finds solutions better than those obtained by the classical multi-level approaches and much faster than classical multi-start approaches. The analysis of the optimization surface shows that the best local minima values follow a Gumbel distribution, which justifies the stagnation of naive multi-start approaches after a few attempts. Likewise, the analysis shows that the best local minima share strong similarities, which is the reason for the superiority of adaptive multi-start approaches. Finally, a sensitivity analysis shows the best internal parameter settings in the algorithm.

Keywords

Mobile network Optimization Graph partitioning Multi-level refinement Adaptive multi-start 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Matías Toril
    • 1
  • Volker Wille
    • 2
  • Iñigo Molina-Fernández
    • 1
  • Chris Walshaw
    • 3
  1. 1.Communications Engineering Dept.University of MálagaMálagaSpain
  2. 2.Performance ServicesNokia Siemens NetworksHuntingdonUK
  3. 3.School of Computing and Mathematical SciencesUniversity of GreenwichLondonUK

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