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Near optimal design of wavelength routed optical networks

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  • Agarwal, Y.K.
  • Venkateshan, Prahalad

Abstract

The problem of designing a wavelength routed optical transport network without wavelength conversion at intermediate nodes is considered. A class of valid inequalities for wavelength routing and assignment is reported and is used to augment traditional network design formulations. The resulting network cost provides a lower bound on the cost of a network that permits wavelength routing. The resulting network is shown to be optimal for a majority of the problem instances tested and in those cases where it is not, a trial-and-error method is proposed that is able to find near-optimal solutions within relatively short period of time. This is achieved by developing efficient and effective heuristics that attempt to provide a feasible wavelength routing. Computational tests are reported on relatively larger problem sizes than have been reported in literature on the wavelength routing problem.

Suggested Citation

  • Agarwal, Y.K. & Venkateshan, Prahalad, 2016. "Near optimal design of wavelength routed optical networks," European Journal of Operational Research, Elsevier, vol. 250(3), pages 990-1000.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:3:p:990-1000
    DOI: 10.1016/j.ejor.2015.10.023
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    References listed on IDEAS

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    1. Skorin-Kapov, Nina & Furdek, Marija & Aparicio Pardo, Ramon & Mariño, Pablo Pavón, 2012. "Wavelength assignment for reducing in-band crosstalk attack propagation in optical networks: ILP formulations and heuristic algorithms," European Journal of Operational Research, Elsevier, vol. 222(3), pages 418-429.
    2. Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.
    3. Agarwal, Y.K. & Venkateshan, Prahalad, 2014. "Survivable network design with shared-protection routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 836-845.
    4. Belgacem, Lucile & Charon, Irène & Hudry, Olivier, 2014. "A post-optimization method for the routing and wavelength assignment problem applied to scheduled lightpath demands," European Journal of Operational Research, Elsevier, vol. 232(2), pages 298-306.
    5. Jeffery Kennington & Eli Olinick & Augustyn Ortynski & Gheorghe Spiride, 2003. "Wavelength Routing and Assignment in a Survivable WDM Mesh Network," Operations Research, INFORMS, vol. 51(1), pages 67-79, February.
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    Cited by:

    1. Ben Yaghlane, Asma & Azaiez, M. Naceur, 2017. "Systems under attack-survivability rather than reliability: Concept, results, and applications," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1156-1164.

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