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A Mutation-Selection Algorithm for the Problem of Minimum Brauer Chains

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Advances in Soft Computing (MICAI 2011)

Abstract

This paper aims to face the problem of getting Brauer Chains (BC) of minimum length by using a Mutation-Selection (MS) algorithm and a representation based on the Factorial Number System (FNS). We explain our MS strategy and report the experimental results for a benchmark considered difficult to show that this approach is a viable alternative to solve this problem by getting the shortest BCs reported in the literature and in a reasonable time. Also, it was used a fine-tuning process for the MS algorithm, which was done with the help of Covering Arrays (CA) and the solutions of a Diophantine Equation (DE).

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Rodriguez-Cristerna, A., Torres-Jiménez, J., Rivera-Islas, I., Hernandez-Morales, C.G., Romero-Monsivais, H., Jose-Garcia, A. (2011). A Mutation-Selection Algorithm for the Problem of Minimum Brauer Chains. In: Batyrshin, I., Sidorov, G. (eds) Advances in Soft Computing. MICAI 2011. Lecture Notes in Computer Science(), vol 7095. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25330-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-25330-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25329-4

  • Online ISBN: 978-3-642-25330-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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