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Finding Designs with Genetic Algorithms

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Computational and Constructive Design Theory

Abstract

In this paper we use simulated evolution to solve three design theoretic problems, direct decomposition of a complete graph into smaller complete graphs, decomposition of a complete graph into smaller complete graphs with difference sets, and the seating of twelve people at three four person tables for multiple nights in an even handed fashion. The paper is intended as a tutorial for someone familiar with design theory but unfamiliar with genetic algorithms.

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References

  1. Lawrence Davis, Handbook of genetic algorithms. Van Nostrand Reinhold, New York, 1991.

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  2. David E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading, MA, 1989.

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  3. Stephanie Forrest, Genetic Algorithms: Principles of Natural Selection Applied to Computation, Science 261 (1993), 872–878.

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  5. John H Holland, Adaption in Natural and Artificial Systems. The MIT Press, Cambridge, MA, 1992.

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  6. G. F. Royle and W. D. Wallis, Constructing Bridge Club Designs, Bulletin of the Institute for Combinatorics and its Applications 11 (1994), 122–125.

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© 1996 Springer Science+Business Media Dordrecht

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Ashlock, D. (1996). Finding Designs with Genetic Algorithms. In: Wallis, W.D. (eds) Computational and Constructive Design Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2497-4_4

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  • DOI: https://doi.org/10.1007/978-1-4757-2497-4_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-2499-8

  • Online ISBN: 978-1-4757-2497-4

  • eBook Packages: Springer Book Archive

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