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Model-hierarchical column generation and heuristic for the routing and wavelength assignment problem

Author

Listed:
  • Christophe Duhamel

    (Université Blaise Pascal)

  • Philippe Mahey

    (Université Blaise Pascal)

  • Alexandre X. Martins

    (Universidade Federal de Ouro Preto)

  • Rodney R. Saldanha

    (Universidade Federal de Minas Gerais)

  • Mauricio C. Souza

    (Universidade Federal de Minas Gerais)

Abstract

The routing and wavelength assignment (RWA) problem typically occurs in wavelength division multiplexing optical networks. Given a number of available wavelengths, we consider here the problem of maximising the number of accepted connections with respect to the clash and continuity constraints. We first propose a new strategy which combines two existing models. This leads to an improved column generation scheme. We also present two heuristics to compute feasible solutions: a hybrid heuristic and the integer solution at the root node of the column generation. Our approaches are compared with the best existing results on a set of classic RWA instances.

Suggested Citation

  • Christophe Duhamel & Philippe Mahey & Alexandre X. Martins & Rodney R. Saldanha & Mauricio C. Souza, 2016. "Model-hierarchical column generation and heuristic for the routing and wavelength assignment problem," 4OR, Springer, vol. 14(2), pages 201-220, June.
    • Handle: RePEc:spr:aqjoor:v:14:y:2016:i:2:d:10.1007_s10288-016-0309-z
    DOI: 10.1007/s10288-016-0309-z
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
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