Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/739464 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562484147388416 |
|---|---|
| author | J. A. Tenreiro Machado |
| author_facet | J. A. Tenreiro Machado |
| author_sort | J. A. Tenreiro Machado |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-95b604b54133472ea60364bb5ffcff23 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-95b604b54133472ea60364bb5ffcff232025-02-03T01:22:32ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/739464739464Fractional Dynamics of Genetic Algorithms Using Hexagonal Space TessellationJ. A. Tenreiro Machado0Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida 431, 4200-072 Porto, PortugalThe 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.http://dx.doi.org/10.1155/2013/739464 |
| spellingShingle | J. A. Tenreiro Machado Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation Abstract and Applied Analysis |
| title | Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation |
| title_full | Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation |
| title_fullStr | Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation |
| title_full_unstemmed | Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation |
| title_short | Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation |
| title_sort | fractional dynamics of genetic algorithms using hexagonal space tessellation |
| url | http://dx.doi.org/10.1155/2013/739464 |
| work_keys_str_mv | AT jatenreiromachado fractionaldynamicsofgeneticalgorithmsusinghexagonalspacetessellation |