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Design of survivable IP-over-optical networks

Author

Listed:
  • Sylvie Borne
  • Eric Gourdin
  • Bernard Liau
  • A. Mahjoub

Abstract

In the past years, telecommunications networks have seen an important evolution with the advances in optical technologies and the explosive growth of the Internet. Several optical systems allow a very large transport capacity, and data traffic has dramatically increased. Telecommunications networks are now moving towards a model of high-speed routers interconnected by intelligent optical core networks. Moreover, there is a general consensus that the control plan of the optical networks should utilize IP-based protocols for dynamic provisioning and restoration of lightpaths. The interaction of the IP routers with the optical core networks permits to achieve end-to-end connections, and the lightpaths of the optical networks define the topology of the IP network. This new infrastructure has to be sufficiently survivable, so that network services can be restored in the event of a catastrophic failure. In this paper we consider a multilayer survivable network design problem that may be of practical interest for IP-over-optical neworks. We give an integer programming formulation for this problem and discuss the associated polytope. We describe some valid inequalities and study when these are facet defining. We discuss separation algorithms for these inequalities and introduce some reduction operations. We develop a Branch-and-Cut algorithm based on these results and present extensive computational results. Copyright Springer Science+Business Media, LLC 2006

Suggested Citation

  • Sylvie Borne & Eric Gourdin & Bernard Liau & A. Mahjoub, 2006. "Design of survivable IP-over-optical networks," Annals of Operations Research, Springer, vol. 146(1), pages 41-73, September.
  • Handle: RePEc:spr:annopr:v:146:y:2006:i:1:p:41-73:10.1007/s10479-006-0047-2
    DOI: 10.1007/s10479-006-0047-2
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    References listed on IDEAS

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    1. Gerhard Reinelt, 1991. "TSPLIB—A Traveling Salesman Problem Library," INFORMS Journal on Computing, INFORMS, vol. 3(4), pages 376-384, November.
    2. Thomas L. Magnanti & Prakash Mirchandani & Rita Vachani, 1995. "Modeling and Solving the Two-Facility Capacitated Network Loading Problem," Operations Research, INFORMS, vol. 43(1), pages 142-157, February.
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    Cited by:

    1. Sara Mattia, 2010. "Solving Survivable Two-Layer Network Design Problems by Metric Inequalities," DIS Technical Reports 2010-02, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    2. Sara Mattia, 2012. "Solving survivable two-layer network design problems by metric inequalities," Computational Optimization and Applications, Springer, vol. 51(2), pages 809-834, March.
    3. Luís Gouveia & Pedro Patrício & Amaro Sousa, 2008. "Hop-Constrained Node Survivable Network Design: An Application to MPLS over WDM," Networks and Spatial Economics, Springer, vol. 8(1), pages 3-21, March.
    4. Xiangyong Li & Y. P. Aneja, 2020. "A new branch-and-cut approach for the generalized regenerator location problem," Annals of Operations Research, Springer, vol. 295(1), pages 229-255, December.

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