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Multi-neighborhood based iterated tabu search for routing and wavelength assignment problem

Author

Listed:
  • Xinyun Wu

    (Huazhong University of Science and Technology)

  • Shengfeng Yan

    (Huazhong University of Science and Technology)

  • Xin Wan

    (Huazhong University of Science and Technology)

  • Zhipeng Lü

    (Huazhong University of Science and Technology)

Abstract

The routing and wavelength assignment problem (RWA) has shown to be NP-hard if the wavelength continuity constraint and the objective of minimizing the number of wavelengths are considered. This paper introduces a multi-neighborhood based iterated tabu search algorithm (MN-ITS), which consists of three neighborhoods with a unified incremental evaluation method, to solve the min-RWA problem. The proposed MN-ITS algorithm is tested on a set of widely studied real world instances as well as a set of challenging random ones in the literature. Comparison with other reference algorithms shows that the MN-ITS algorithm is able to improve five best upper bounds obtained by other competitive reference algorithms in the literature. This paper also presents an analysis to show the significance of the unified incremental evaluation technique and the combination of multiple neighborhoods.

Suggested Citation

  • Xinyun Wu & Shengfeng Yan & Xin Wan & Zhipeng Lü, 2016. "Multi-neighborhood based iterated tabu search for routing and wavelength assignment problem," Journal of Combinatorial Optimization, Springer, vol. 32(2), pages 445-468, August.
    • Handle: RePEc:spr:jcomop:v:32:y:2016:i:2:d:10.1007_s10878-015-9962-y
    DOI: 10.1007/s10878-015-9962-y
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    References listed on IDEAS

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    1. Huang, Wenqi & Ye, Tao, 2011. "Global optimization method for finding dense packings of equal circles in a circle," European Journal of Operational Research, Elsevier, vol. 210(3), pages 474-481, May.
    2. Fu, Zhanghua & Huang, Wenqi & Lü, Zhipeng, 2013. "Iterated tabu search for the circular open dimension problem," European Journal of Operational Research, Elsevier, vol. 225(2), pages 236-243.
    3. Wang, Huaiqing & Huang, Wenqi & Zhang, Quan & Xu, Dongming, 2002. "An improved algorithm for the packing of unequal circles within a larger containing circle," European Journal of Operational Research, Elsevier, vol. 141(2), pages 440-453, September.
    4. Qinghua Wu & Jin-Kao Hao & Fred Glover, 2012. "Multi-neighborhood tabu search for the maximum weight clique problem," Annals of Operations Research, Springer, vol. 196(1), pages 611-634, July.
    5. 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.
    6. 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.
    7. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    8. 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.
    9. José González-Velarde & Manuel Laguna, 2002. "Tabu Search with Simple Ejection Chains for Coloring Graphs," Annals of Operations Research, Springer, vol. 117(1), pages 165-174, November.
    Full references (including those not matched with items on IDEAS)

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