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Routing Through Virtual Paths in Layered Telecommunication Networks

Author

Listed:
  • Geir Dahl

    (Department of Mathematics, University of Oslo, P.O. Box 1080, Blindern, N-0316 Oslo, Norway)

  • Alexander Martin

    (Konrad-Zuse-Zentrum für Informationstechnik, Heilbronner Str. 10, D-10711 Berlin, Germany)

  • Mechthild Stoer

    (Telenor, P.O. Box 83, N-2027 Kjeller, Norway)

Abstract

We study a network configuration problem in telecommunications where one wants to set up paths in a capacitated network to accommodate given point-to-point traffic demand. The problem is formulated as an integer linear programming model where 0–1 variables represent different paths. An associated integral polytope is studied, and different classes of facets are described. These results are used in a cutting plane algorithm. Computational results for some realistic problems are reported.

Suggested Citation

  • Geir Dahl & Alexander Martin & Mechthild Stoer, 1999. "Routing Through Virtual Paths in Layered Telecommunication Networks," Operations Research, INFORMS, vol. 47(5), pages 693-702, October.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:5:p:693-702
    DOI: 10.1287/opre.47.5.693
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    References listed on IDEAS

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    1. BIENSTOCK, Daniel & CHOPRA, Sunil & GÜNLÜK, Oktay & TSAI, Chih-Yang, 1998. "Minimum cost capacity installation for multicommodity network flows," LIDAM Reprints CORE 1391, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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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. C S Sung & S H Song, 2003. "Branch-and-price algorithm for a combined problem of virtual path establishment and traffic packet routing in a layered communication network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 72-82, January.
    3. 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.
    4. Crainic, Teodor Gabriel & Gendron, Bernard & Akhavan Kazemzadeh, Mohammad Rahim, 2022. "A taxonomy of multilayer network design and a survey of transportation and telecommunication applications," European Journal of Operational Research, Elsevier, vol. 303(1), pages 1-13.
    5. Knippel, Arnaud & Lardeux, Benoit, 2007. "The multi-layered network design problem," European Journal of Operational Research, Elsevier, vol. 183(1), pages 87-99, November.

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