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Evolutionary Algorithms Based on Game Theory and Cellular Automata with Coalitions

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Handbook of Optimization

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 38))

Abstract

Cellular genetic algorithms (cGAs) are a kind of genetic algorithms (GAs) with decentralized population in which interactions among individuals are restricted to the closest ones. The use of decentralized populations in GAs allows to keep the population diversity for longer, usually resulting in a better exploration of the search space and, therefore in a better performance of the algorithm. However, the use of decentralized populations supposes the need of several new parameters that have a major impact on the behavior of the algorithm. In the case of cGAs, these parameters are the population and neighborhood shapes. Hence, in this work we propose a new adaptive technique based in Cellular Automata, Game Theory and Coalitions that allow to manage dynamic neighborhoods. As a result, the new adaptive cGAs (EACO) with coalitions outperform the compared cGA with fixed neighborhood for the selected benchmark of combinatorial optimization problems.

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Authors and Affiliations

  1. Interd. Centre for Security, Reliability and Trust, Université du Luxembourg, Luxembourg City, Luxembourg

    Bernabé Dorronsoro

  2. ETSET. Universidad de Vigo, 36310, Vigo, Spain

    Juan C. Burguillo & Ana Peleteiro

  3. Université du Luxembourg, Luxembourg City, Luxembourg

    Pascal Bouvry

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  1. Bernabé Dorronsoro
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  2. Juan C. Burguillo
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  3. Ana Peleteiro
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  4. Pascal Bouvry
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Correspondence to Bernabé Dorronsoro .

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Editors and Affiliations

  1. Technical University of Ostrava, 17. listopadu 15, Ostrava-Porub, 708 33, Czech Republic

    Ivan Zelinka

  2. , Faculty of Electrical Engineering and, Technical University of Ostrava, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Václav Snášel

  3. Auburn, 98071, USA

    Ajith Abraham

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Dorronsoro, B., Burguillo, J.C., Peleteiro, A., Bouvry, P. (2013). Evolutionary Algorithms Based on Game Theory and Cellular Automata with Coalitions. In: Zelinka, I., Snášel, V., Abraham, A. (eds) Handbook of Optimization. Intelligent Systems Reference Library, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30504-7_19

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