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Optimal Load Balancing on Sonet Bidirectional Rings

Author

Listed:
  • Young-Soo Myung

    (Dankook University, Chungnam, Korea)

  • Hu-Gon Kim

    (Korea Advanced Institute of Science and Technology, Taejon, Korea)

  • Dong-Wan Tcha

    (Korea Advanced Institute of Science and Technology, Taejon, Korea)

Abstract

In this paper we consider the Ring Loading Problem, which arises in the design of SONET bidirectional rings. The issue of demand splitting divides the ring loading problem into the two kinds. One allows a demand to be split and routed in two different directions and the other does not. The former kind becomes a relaxation of the latter. We present an efficient exact solution procedure for the case with demand splitting, and a two-approximation algorithm for the case without demand splitting. Computational results are also shown to prove the efficiency of the proposed procedures.

Suggested Citation

  • Young-Soo Myung & Hu-Gon Kim & Dong-Wan Tcha, 1997. "Optimal Load Balancing on Sonet Bidirectional Rings," Operations Research, INFORMS, vol. 45(1), pages 148-152, February.
    • Handle: RePEc:inm:oropre:v:45:y:1997:i:1:p:148-152
    DOI: 10.1287/opre.45.1.148
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    Citations

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    Cited by:

    1. Qingqin Nong & Jinjiang Yuan & Yixun Lin, 2009. "The weighted link ring loading problem," Journal of Combinatorial Optimization, Springer, vol. 18(1), pages 38-50, July.
    2. Y Shim & S A Gabriel & A Desai & P Sahakij & S Milner, 2008. "A fast heuristic method for minimizing traffic congestion on reconfigurable ring topologies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(4), pages 521-539, April.
    3. Meunier, Frédéric & Pradeau, Thomas, 2014. "The uniqueness property for networks with several origin–destination pairs," European Journal of Operational Research, Elsevier, vol. 237(1), pages 245-256.
    4. Cole Smith, J., 2004. "Algorithms for distributing telecommunication traffic on a multiple-ring SONET-based network," European Journal of Operational Research, Elsevier, vol. 154(3), pages 659-672, May.
    5. Fortz, Bernard & Soriano, Patrick & Wynants, Christelle, 2003. "A tabu search algorithm for self-healing ring network design," European Journal of Operational Research, Elsevier, vol. 151(2), pages 280-295, December.
    6. Khodakaram Salimifard & Sara Bigharaz, 2022. "The multicommodity network flow problem: state of the art classification, applications, and solution methods," Operational Research, Springer, vol. 22(1), pages 1-47, March.
    7. Hanif D. Sherali & J. Cole Smith & Youngho Lee, 2000. "Enhanced Model Representations for an Intra-Ring Synchronous Optical Network Design Problem Allowing Demand Splitting," INFORMS Journal on Computing, INFORMS, vol. 12(4), pages 284-298, November.
    8. Man Xiao & Weidong Li & Xiaofei Liu, 2023. "Online Mixed Ring Covering Problem with Two Nodes," SN Operations Research Forum, Springer, vol. 4(1), pages 1-20, March.

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