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A biased random-key genetic algorithm for routing and wavelength assignment under a sliding scheduled traffic model

Author

Listed:
  • Bruno Q. Pinto

    (Instituto Federal de Educação, Ciência e Tecnologia do Triângulo Mineiro)

  • Celso C. Ribeiro

    (Universidade Federal Fluminense)

  • Isabel Rosseti

    (Universidade Federal Fluminense)

  • Thiago F. Noronha

    (Universidade Federal de Minas Gerais)

Abstract

The problem of routing and wavelength assignment in optical networks consists in minimizing the number of wavelengths that are needed to route a set of demands, such that demands routed using lightpaths that share common links are assigned to different wavelengths. We present a biased random-key genetic algorithm for approximately solving the problem of routing and wavelength assignment of sliding scheduled lightpath demands in optical networks. In this problem variant, each demand is characterized not only by a source and a destination, but also by a duration and a time window in which it has to be met. Computational experiments show that the numerical results obtained by the proposed heuristic improved upon those obtained by a multistart constructive heuristic. In addition, the biased random-key genetic algorithm obtained much better results than an existing algorithm for the problem, finding solutions that use roughly 50% of the number of wavelengths determined by the latter.

Suggested Citation

  • Bruno Q. Pinto & Celso C. Ribeiro & Isabel Rosseti & Thiago F. Noronha, 2020. "A biased random-key genetic algorithm for routing and wavelength assignment under a sliding scheduled traffic model," Journal of Global Optimization, Springer, vol. 77(4), pages 949-973, August.
    • Handle: RePEc:spr:jglopt:v:77:y:2020:i:4:d:10.1007_s10898-020-00877-0
    DOI: 10.1007/s10898-020-00877-0
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    References listed on IDEAS

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    1. Julliany S. Brandão & Thiago F. Noronha & Celso C. Ribeiro, 2016. "A biased random-key genetic algorithm to maximize the number of accepted lightpaths in WDM optical networks," Journal of Global Optimization, Springer, vol. 65(4), pages 813-835, August.
    2. Skorin-Kapov, Nina, 2007. "Routing and wavelength assignment in optical networks using bin packing based algorithms," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1167-1179, March.
    3. Thiago Noronha & Mauricio Resende & Celso Ribeiro, 2011. "A biased random-key genetic algorithm for routing and wavelength assignment," Journal of Global Optimization, Springer, vol. 50(3), pages 503-518, July.
    4. Noronha, Thiago F. & Ribeiro, Celso C., 2006. "Routing and wavelength assignment by partition colouring," European Journal of Operational Research, Elsevier, vol. 171(3), pages 797-810, June.
    5. James C. Bean, 1994. "Genetic Algorithms and Random Keys for Sequencing and Optimization," INFORMS Journal on Computing, INFORMS, vol. 6(2), pages 154-160, May.
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    Cited by:

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