Abstract
Simple genetic algorithms on populations of l-binary words usually become iterative systems on 2l dimensional spaces when populations have size infinite. However, in a particular model (BCCG model) previously introduced, it has been shown that the iterative system works in a l-dimensional space.
In this paper we propose a simplification of the BCCG model and we analyze it in the case of large but finite-size populations. In particular:
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1
We exhibit a Markov chain with states in ℝl that approximates the system behavior.
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2
We estimate the steady state distribution of the Markov chain.
Partially supported by the PRIN Project “Formal languages and automata: methods, models and applications”, MIUR.
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Bertoni, A., Campadelli, P., Posenato, R. (2005). Analysis of a Genetic Model with Finite Populations. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3612. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539902_28
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DOI: https://doi.org/10.1007/11539902_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28320-1
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