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An origin-based model for unique shortest path routing

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  • Changyong Zhang

    (Curtin University Sarawak)

Abstract

Link weights are the main parameters of shortest path routing protocols, the most commonly used protocols for IP networks. The problem of optimally setting link weights for unique shortest path routing is addressed. Due to the complexity of the constraints involved, there exist challenges to formulate the problem in such a way based on which a more efficient solution algorithm than the existing ones may be developed. In this paper, an exact formulation is first introduced and then mathematically proved correct. It is further illustrated that the formulation has advantages over a prior one in terms of both constraint structure and model size for a proposed decomposition method to solve the problem.

Suggested Citation

  • Changyong Zhang, 2017. "An origin-based model for unique shortest path routing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 935-951, August.
    • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:8:d:10.1057_s41274-016-0144-9
    DOI: 10.1057/s41274-016-0144-9
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    References listed on IDEAS

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    1. Ravindra K. Ahuja & James B. Orlin, 2001. "Inverse Optimization," Operations Research, INFORMS, vol. 49(5), pages 771-783, October.
    2. DINITZ, Yefim & GARG, Naveen & GOEMANS, Michel X., 1999. "On the single-source unsplittable flow problem," LIDAM Reprints CORE 1433, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Kyungchul Park & Seokhoon Kang & Sungsoo Park, 1996. "An Integer Programming Approach to the Bandwidth Packing Problem," Management Science, INFORMS, vol. 42(9), pages 1277-1291, September.
    4. F. Benjamin Zhan & Charles E. Noon, 1998. "Shortest Path Algorithms: An Evaluation Using Real Road Networks," Transportation Science, INFORMS, vol. 32(1), pages 65-73, February.
    5. M. Ericsson & M.G.C. Resende & P.M. Pardalos, 2002. "A Genetic Algorithm for the Weight Setting Problem in OSPF Routing," Journal of Combinatorial Optimization, Springer, vol. 6(3), pages 299-333, September.
    6. Kaj Holmberg & Di Yuan, 2000. "A Lagrangian Heuristic Based Branch-and-Bound Approach for the Capacitated Network Design Problem," Operations Research, INFORMS, vol. 48(3), pages 461-481, June.
    7. Cynthia Barnhart & Christopher A. Hane & Pamela H. Vance, 2000. "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Flow Problems," Operations Research, INFORMS, vol. 48(2), pages 318-326, April.
    8. Luciana S. Buriol & Mauricio G. C. Resende & Mikkel Thorup, 2008. "Speeding Up Dynamic Shortest-Path Algorithms," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 191-204, May.
    9. Ayşegül Altın & Bernard Fortz & Mikkel Thorup & Hakan Ümit, 2013. "Intra-domain traffic engineering with shortest path routing protocols," Annals of Operations Research, Springer, vol. 204(1), pages 65-95, April.
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    Cited by:

    1. Changyong Zhang, 2024. "An enhanced Benders decomposition method for unique shortest path routing," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 989-1012, September.

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