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Modelling of interaction in swarm intelligence focused on particle swarm optimization and social networks optimization

Modelling of interaction in swarm intelligence focused on particle swarm optimization and social networks optimization

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Swarm Intelligence - Volume 1: Principles, current algorithms and methods — Recommend this title to your library

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Swarm intelligence is an important and popular branch of computational intelligence. This technique is based on the analysis of the collective behaviour of swarms in nature and of social phenomena, and it is aimed to solve highly non-linear problems. The optimization performances of these techniques are highly affected by the specific choice of the working parameters. In this chapter, the modelling of interaction in swarm intelligence is done by means of different models, and the space of the working parameter is finally divided accordingly to the specific dynamic behaviour of the swarm for each point of this space. In this analysis, the attention has been focused in two optimization algorithms: the well-known particle swarm optimization and the recently developed social network optimization.

Chapter Contents:

  • Abstract
  • 19.1 Introduction
  • 19.2 Swarm interaction definition
  • 19.2.1 Traditional notation
  • 19.2.2 Deterministic model
  • 19.2.3 Equivalent simplified notations
  • 19.3 Different swarm topologies and social network optimization
  • 19.3.1 Social network optimization
  • 19.4 Parameter sensitivity analysis
  • 19.5 Particle trajectory analysis
  • 19.5.1 Differential equation interpretation
  • 19.5.2 Discrete model interpretation
  • 19.5.3 Complete algorithmic behaviour
  • 19.6 Stability analysis
  • 19.6.1 Stability of differential equation
  • 19.6.2 Stability with standard model
  • 19.6.2.1 Complex eigenvalues
  • 19.6.2.2 Real eigenvalues
  • 19.6.2.3 Stability analysis
  • 19.7 Conclusions
  • References

Inspec keywords: particle swarm optimisation; swarm intelligence

Other keywords: swarm collective behaviour analysis; optimization performances; social network optimization; nonlinear problems; swarm intelligence; optimization algorithms; particle swarm optimization; social phenomena; computational intelligence

Subjects: Optimisation; Optimisation techniques; Optimisation techniques

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