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Handbook of Optimization pp 423–449Cite as

Adaptive Variants of Differential Evolution: Towards Control-Parameter-Free Optimizers

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

Abstract

Seven up-to-date adaptive variants of differential evolution were compared in six benchmark problems of two levels of dimension (D = 30 and D = 100). The opposition-based optimization was also implemented to each adaptive variant and compared in experiments. It was found that all the algorithms perform very reliably in the problems of D = 30, whereas their reliability rate in the problems of D = 100 differs substantially among the test problems. Only two algorithms (JADE and b6e6rl variant of competitive DE) operate with acceptable reliability in all the problems. Considering the computational costs, the rank of the algorithms is different in various problems. When the average performance over all the problems is taken into account, JADE was the most efficient and b6e6rl the most reliable. The implementation of opposition-based optimization into adaptive variants of differential evolution does not increase the reliability and its positive influence on the efficiency is rare. Based on the results, recommendations to application of adaptive algorithms are formed and the source code of the algorithms is available online.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Centre of Excellence IT4Innovations, Division of UO, University of Ostrava, Ostrava, Czech Republic

    Josef Tvrdík

  2. Department of Mathematics, University of Ostrava, Ostrava, Czech Republic

    Radka Poláková

  3. Department of Computer Science, University of Ostrava, Ostrava, Czech Republic

    Jiří Veselský & Petr Bujok

Authors
  1. Josef Tvrdík
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  2. Radka Poláková
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  3. Jiří Veselský
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  4. Petr Bujok
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Corresponding author

Correspondence to Josef Tvrdík .

Editor information

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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Tvrdík, J., Poláková, R., Veselský, J., Bujok, P. (2013). Adaptive Variants of Differential Evolution: Towards Control-Parameter-Free Optimizers. 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_17

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  • DOI: https://doi.org/10.1007/978-3-642-30504-7_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30503-0

  • Online ISBN: 978-3-642-30504-7

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