Takeover time curves in random and small-world structured populations

  • Authors:
  • Mario Giacobini;Marco Tomassini;Andrea Tettamanzi

  • Affiliations:
  • University of Lausanne, Lausanne, Switzerland;University of Lausanne, Lausanne, Switzerland;University of Milano, Milano, Italy

  • Venue:
  • GECCO '05 Proceedings of the 7th annual conference on Genetic and evolutionary computation
  • Year:
  • 2005

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Abstract

We present discrete stochastic mathematical models for the growth curves of synchronous and synchronous evolutionary algorithms with populations structured ccording to a random graph. We show that, to good approximation, randomly structured and panmictic populations have the some growth behavior. Furthermore, we show that global selection intensity depends on the update policy. The validity of the models is confirmed by comparison with experimental results of simulations. We also present experimental results on small-world nd scale-free population graph topologies. We show that they lead to qualitatively similar results. However, the different nature of the nodes can be exploited to obtain more varied evolutionary behavior.