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Author: André Neubauer

Affiliation: Münster University of Applied Sciences, Germany

Keyword(s): Genetic algorithm, Dynamical system model, Random heuristic search, a-selection, Generalised a*-selection.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Evolutionary Computing ; Genetic Algorithms ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Soft Computing

Abstract: The dynamical system model proposed by VOSE provides a theory of genetic algorithms as specific random heuristic search (RHS) algorithms by describing the stochastic trajectory of a population with the help of a deterministic heuristic function and its fixed points. In order to simplify the mathematical analysis and to enable the explicit calculation of the fixed points the simple genetic algorithm (SGA) with a-selection has been introduced where the best or a-individual is mated with individuals randomly chosen from the population with uniform probability. This selection scheme also allows to derive a simple coarse-grained system model based on the equivalence relation imposed by schemata. In this paper, the a-selection scheme is generalised to a*-selection by allowing the ß best individuals of the current population instead of the single best a-individual to mate with other individuals randomly chosen from the population. It is shown that most of the results obtained for a-selectio n can be transferred to the SGA with generalised a*-selection, e.g. the explicit calculation of the fixed points of the heuristic function or the derivation of a coarse-grained system model based on schemata. (More)

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Paper citation in several formats:
Neubauer, A. (2009). SIMPLE GENETIC ALGORITHM WITH GENERALISED a*-SELECTION - Dynamical System Model, Fixed Points, and Schemata. In Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICEC; ISBN 978-989-674-014-6; ISSN 2184-3236, SciTePress, pages 203-208. DOI: 10.5220/0002312602030208

@conference{icec09,
author={André Neubauer.},
title={SIMPLE GENETIC ALGORITHM WITH GENERALISED a*-SELECTION - Dynamical System Model, Fixed Points, and Schemata},
booktitle={Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICEC},
year={2009},
pages={203-208},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002312602030208},
isbn={978-989-674-014-6},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICEC
TI - SIMPLE GENETIC ALGORITHM WITH GENERALISED a*-SELECTION - Dynamical System Model, Fixed Points, and Schemata
SN - 978-989-674-014-6
IS - 2184-3236
AU - Neubauer, A.
PY - 2009
SP - 203
EP - 208
DO - 10.5220/0002312602030208
PB - SciTePress

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