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Comparative Study of Different Memetic Algorithm Configurations for the Cyclic Bandwidth Sum Problem

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Parallel Problem Solving from Nature – PPSN XV (PPSN 2018)

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Abstract

The Cyclic Bandwidth Sum Problem (CBSP) is an NP-Hard Graph Embedding Problem which aims to embed a simple, finite graph (the guest) into a cycle graph of the same order (the host) while minimizing the sum of cyclic distances in the host between guest’s adjacent nodes. This paper presents preliminary results of our research on the design of a Memetic Algorithm (MA) able to solve the CBSP. A total of 24 MA versions, induced by all possible combinations of four selection schemes, two operators for recombination and three for mutation, were tested over a set of 25 representative graphs. Results compared with respect to the state-of-the-art top algorithm showed that all the tested MA versions were able to consistently improve its results and give us some insights on the suitability of the tested operators.

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Notes

  1. 1.

    BSP is the problem of embedding a graph into a path while minimizing the sum of linear distances between embedded vertices.

  2. 2.

    http://www.tamps.cinvestav.mx/~ertello/cbsp-ma.php.

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Acknowledgments

The second author acknowledges support from CONACyT through a scholarship to pursue graduate studies at CINVESTAV-Tamaulipas.

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Authors and Affiliations

  1. CINVESTAV – Tamaulipas, Km. 5.5 Carretera Victoria-Soto La Marina, 87130, Victoria, Tamaulipas, Mexico

    Eduardo Rodriguez-Tello & Valentina Narvaez-Teran

  2. LERIA, Université d’Angers, 2 Boulevard Lavoisier, 49045, Angers, France

    Fréderic Lardeux

Authors
  1. Eduardo Rodriguez-Tello
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  2. Valentina Narvaez-Teran
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  3. Fréderic Lardeux
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Corresponding author

Correspondence to Eduardo Rodriguez-Tello .

Editor information

Editors and Affiliations

  1. Inria Saclay, Palaiseau, France

    Anne Auger

  2. University of Coimbra, Coimbra, Portugal

    Carlos M. Fonseca

  3. University of Coimbra, Coimbra, Portugal

    Nuno Lourenço

  4. University of Coimbra, Coimbra, Portugal

    Penousal Machado

  5. University of Coimbra, Coimbra, Portugal

    Luís Paquete

  6. Colorado State University, Fort Collins, Colorado, USA

    Darrell Whitley

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Rodriguez-Tello, E., Narvaez-Teran, V., Lardeux, F. (2018). Comparative Study of Different Memetic Algorithm Configurations for the Cyclic Bandwidth Sum Problem. In: Auger, A., Fonseca, C., Lourenço, N., Machado, P., Paquete, L., Whitley, D. (eds) Parallel Problem Solving from Nature – PPSN XV. PPSN 2018. Lecture Notes in Computer Science(), vol 11101. Springer, Cham. https://doi.org/10.1007/978-3-319-99253-2_7

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  • DOI: https://doi.org/10.1007/978-3-319-99253-2_7

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  • Online ISBN: 978-3-319-99253-2

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