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Natural Computing

, Volume 9, Issue 1, pp 29–46 | Cite as

Discrete Particle Swarm Optimization for the minimum labelling Steiner tree problem

  • Sergio Consoli
  • José Andrés Moreno-Pérez
  • Kenneth Darby-Dowman
  • Nenad Mladenović
Article

Abstract

Particle Swarm Optimization is a population-based method inspired by the social behaviour of individuals inside swarms in nature. Solutions of the problem are modelled as members of the swarm which fly in the solution space. The improvement of the swarm is obtained from the continuous movement of the particles that constitute the swarm submitted to the effect of inertia and the attraction of the members who lead the swarm. This work focuses on a recent Discrete Particle Swarm Optimization for combinatorial optimization, called Jumping Particle Swarm Optimization. Its effectiveness is illustrated on the minimum labelling Steiner tree problem: given an undirected labelled connected graph, the aim is to find a spanning tree covering a given subset of nodes, whose edges have the smallest number of distinct labels.

Keywords

Combinatorial optimization Discrete Particle Swarm Optimization Heuristics Minimum labelling Steiner tree problem Graphs and networks 

Notes

Acknowledgements

Sergio Consoli was supported by an E.U. Marie Curie Fellowship for Early Stage Researcher Training (EST-FP6) under grant number MEST-CT-2004-006724 at Brunel University (project NET-ACE). The research of José Andrés Moreno-Pérez was partially supported by the projects TIN2005-08404-C04-03 of the Spanish Government (with financial support from the European Union under the FEDER project) and PI042005/044 of the Canary Government.

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Sergio Consoli
    • 1
  • José Andrés Moreno-Pérez
    • 2
  • Kenneth Darby-Dowman
    • 1
  • Nenad Mladenović
    • 1
  1. 1.CARISMA and NET-ACE, School of Information Systems, Computing and MathematicsBrunel UniversityUxbridge, MiddlesexUK
  2. 2.DEIOC, IUDRUniversidad de La LagunaSanta Cruz de TenerifeSpain

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