English

Genetic algorithm dynamics on a rugged landscape

Statistical Mechanics 2009-10-31 v1 adap-org Adaptation and Self-Organizing Systems Populations and Evolution

Abstract

The genetic algorithm is an optimization procedure motivated by biological evolution and is successfully applied to optimization problems in different areas. A statistical mechanics model for its dynamics is proposed based on the parent-child fitness correlation of the genetic operators, making it applicable to general fitness landscapes. It is compared to a recent model based on a maximum entropy ansatz. Finally it is applied to modeling the dynamics of a genetic algorithm on the rugged fitness landscape of the NK model.

Keywords

Cite

@article{arxiv.cond-mat/9903076,
  title  = {Genetic algorithm dynamics on a rugged landscape},
  author = {Stefan Bornholdt},
  journal= {arXiv preprint arXiv:cond-mat/9903076},
  year   = {2009}
}

Comments

10 pages RevTeX, 4 figures PostScript