Dynamical modelling of a genetic algorithm

Authors:
E. J. Solteiro Pires;J. A. Tenreiro Machado;P. B. de Moura Oliveira
Affiliations:
Univ. Trás-os-Montes e Alto Douro, Dep. de Engenharia Electrotécnica, Vila Real, Portugal;Instituto Superior de Engenharia do Porto, Dep. de Engenharia Electrotécnica, Porto, Portugal;Univ. Trás-os-Montes e Alto Douro, Dep. de Engenharia Electrotécnica, Vila Real, Portugal and Centro de Estudos Tecnológicos, do Ambiente e da Vida, Vila Real, Portugal
Venue:
Signal Processing - Fractional calculus applications in signals and systems
Year:
2006

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Abstract

This work addresses the signal propagation and the fractional-order dynamics during the evolution of a genetic algorithm (GA). In order to investigate the phenomena involved in the GA population evolution, the mutation is exposed to excitation perturbations during some generations and the corresponding fitness variations are evaluated. Three distinct fitness functions are used to study their influence in the GA dynamics. The input and output signals are studied revealing a fractional-order dynamic evolution, characteristic of a long-term system memory.