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A matheuristic for a telecommunication network design problem with traffic grooming

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  • Wu, Xinyun
  • Lü, Zhipeng
  • Glover, Fred

Abstract

This paper addresses a network design and traffic grooming problem arising in optical telecommunication networks that are based on wavelength division multiplexing. Given a set of nodes and a set of traffic demands between these nodes, the network design and traffic grooming problem (NDGP) consists of installing a minimum number of lightpaths between the nodes and of routing the demand on the lightpaths while respecting capacity constraints. We introduce a new mathematical formulation of the NDGP as well as a hybrid algorithm capable of finding high quality solutions in short computing times. The proposed algorithm uses linear and mixed integer programming as slave methods and embeds them within a tabu search procedure. Computational results and comparisons with an existing method from the literature show the effectiveness of the proposed algorithm. Further analyses also show the efficiency of the neighborhood structure and of its evaluation technique.

Suggested Citation

  • Wu, Xinyun & Lü, Zhipeng & Glover, Fred, 2020. "A matheuristic for a telecommunication network design problem with traffic grooming," Omega, Elsevier, vol. 90(C).
    • Handle: RePEc:eee:jomega:v:90:y:2020:i:c:s030504831730539x
    DOI: 10.1016/j.omega.2018.11.012
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    References listed on IDEAS

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    1. 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.
    2. Yazar, Başak & Arslan, Okan & Karaşan, Oya Ekin & Kara, Bahar Y., 2016. "Fiber optical network design problems: A case for Turkey," Omega, Elsevier, vol. 63(C), pages 23-40.
    3. Fred Glover, 1990. "Tabu Search—Part II," INFORMS Journal on Computing, INFORMS, vol. 2(1), pages 4-32, February.
    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.
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    Cited by:

    1. Parreño, F. & Alvarez-Valdes, R., 2021. "Mathematical models for a cutting problem in the glass manufacturing industry," Omega, Elsevier, vol. 103(C).
    2. Xudong Diao & Ai Gao & Xin Jin & Hui Chen, 2022. "A Layer-Based Relaxation Approach for Service Network Design," Sustainability, MDPI, vol. 14(20), pages 1-13, October.
    3. Li, Xiangyong & Wei, Kai & Guo, Zhaoxia & Wang, Wei & Aneja, Y.P., 2021. "An exact approach for the service network design problem with heterogeneous resource constraints," Omega, Elsevier, vol. 102(C).

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