IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/739464.html
   My bibliography  Save this article

Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation

Author

Listed:
  • J. A. Tenreiro Machado

Abstract

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.

Suggested Citation

  • J. A. Tenreiro Machado, 2013. "Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, June.
    • Handle: RePEc:hin:jnlaaa:739464
    DOI: 10.1155/2013/739464
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/739464.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/739464.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/739464?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlaaa:739464. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.