Open Access
2013 Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation
J. A. Tenreiro Machado
Abstr. Appl. Anal. 2013(SI25): 1-7 (2013). DOI: 10.1155/2013/739464


The paper formulates a genetic algorithm that evolves two types of objects in a plane. The fitness function promotes a relationship between the objects that is optimal when some kind of interface between them occurs. Furthermore, the algorithm adopts an hexagonal tessellation of the two-dimensional space for promoting an efficient method of the neighbour modelling. The genetic algorithm produces special patterns with resemblances to those revealed in percolation phenomena or in the symbiosis found in lichens. Besides the analysis of the spacial layout, a modelling of the time evolution is performed by adopting a distance measure and the modelling in the Fourier domain in the perspective of fractional calculus. The results reveal a consistent, and easy to interpret, set of model parameters for distinct operating conditions.


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J. A. Tenreiro Machado. "Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation." Abstr. Appl. Anal. 2013 (SI25) 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095310
MathSciNet: MR3068867
Digital Object Identifier: 10.1155/2013/739464

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI25 • 2013
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