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Solving routing and spectrum allocation problems in flexgrid optical networks using pre-computing strategies

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Abstract

Flexible optical network architectures are considered a very promising solution where spectrum resources are allocated within flexible frequency grids. This paper presents a minimum spectrum utilization (SU) and average path length (APL) approach to solve the (off-line) routing and spectrum allocation problem (RSA) based on combining a simple ordering pre-computation strategy, namely most subcarriers first (MSF) with three nature-inspired algorithms. These algorithms are ant colony optimization, differential evolution based relative position indexing (DE-RPI), and differential evolution general combinatorial (DE-GC). We begin by showing that MSF is the most effective ordering pre-computation strategy when compared to other well-known typical heuristics in the literature, such as first-fit, and longest path first. Then, we apply MSF in combination with the three nature-inspired algorithms to simultaneously optimize the SU and APL. The usefulness of MSF ordering pre-computation strategy is presented via a comparison of results obtained when using and not using MSF under the same scenarios. The algorithms are evaluated in benchmark optical networks, such as the NSFNet, the European optical network, and the 40-node USA network. We show that DE-RPI with MSF ordering pre-computation is the best option to solve the RSA problem, obtaining an average improvement percentage in the range of 0.9772–4.4086% on the SU and from \(-0.1668\) to 0.8511% on the APL when compared to other meta-heuristics, either with or without the MSF ordering policy.

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Notes

  1. Parametric analysis (or tuning of parametric) in meta-heuristics is a broad area of research that it is not within the scope of this investigation and is left as further work.

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Acknowledgements

Alberto F. Martínez-Herrera thanks Tecnologico de Monterrey for the support to complete this research.

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Authors and Affiliations

  1. GECAD-Polytechnic of Porto, Porto, Portugal

    Fernando Lezama

  2. School of Engineering and Sciences, Tecnologico de Monterrey, Ave. E. Garza Sada 2501 Sur, 64849, Monterrey, Nuevo Leon, Mexico

    Alberto F. Martínez-Herrera, Gerardo Castañón & Ana Maria Sarmiento

  3. Facultad de Ingeniería, Universidad Panamericana, Prolongación Calzada Circunvalación Poniente 49, 45010, Zapopan, Jalisco, Mexico

    Carolina Del-Valle-Soto

  4. PROWLER.io Ltd, Cambridge, UK

    Enrique Muñoz de Cote

  5. INAOE, Puebla, Mexico

    Enrique Muñoz de Cote

Authors
  1. Fernando Lezama
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  2. Alberto F. Martínez-Herrera
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  3. Gerardo Castañón
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  4. Carolina Del-Valle-Soto
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  5. Ana Maria Sarmiento
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  6. Enrique Muñoz de Cote
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Correspondence to Gerardo Castañón.

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Lezama, F., Martínez-Herrera, A.F., Castañón, G. et al. Solving routing and spectrum allocation problems in flexgrid optical networks using pre-computing strategies. Photon Netw Commun 41, 17–35 (2021). https://doi.org/10.1007/s11107-020-00918-4

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  • DOI: https://doi.org/10.1007/s11107-020-00918-4

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