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Wavelength Routing and Assignment in a Survivable WDM Mesh Network

Author

Listed:
  • Jeffery Kennington

    (Department of Engineering Management, Information, and Systems, School of Engineering, Southern Methodist University, Dallas, Texas 75275-0123)

  • Eli Olinick

    (Department of Engineering Management, Information, and Systems, School of Engineering, Southern Methodist University, Dallas, Texas 75275-0123)

  • Augustyn Ortynski

    (Nortel Networks, Richardson, Texas 75082)

  • Gheorghe Spiride

    (Nortel Networks, Richardson, Texas 75082)

Abstract

All-optical networks with wavelength division multiplexing (WDM) capabilities are prime candidates for future wide-area backbone networks. The simplified processing and management of these very high bandwidth networks make them very attractive. A procedure for designing low cost WDM networks is the subject of this investigation.In the literature, this design problem has been referred to as the routing and wavelength assignment problem. Our proposed solution involves a three-step process that results in a low-cost design to satisfy a set of static point-to-point demands. Our strategy simultaneously addresses the problem of routing working traffic, determining backup paths for single node or single link failures, and assigning wavelengths to both working and restoration paths.An integer linear program is presented that formally defines the routing and wavelength assignment problem (RWA) being solved along with a simple heuristic procedure. In an empirical analysis, the heuristic procedure successfully solved realistically sized test cases in under 30 seconds on a Compaq AlphaStation. CPLEX 6.6.0 using default settings required over 1,000 times longer to obtain only slightly better solutions than those obtained by our new heuristic procedure.

Suggested Citation

  • Jeffery Kennington & Eli Olinick & Augustyn Ortynski & Gheorghe Spiride, 2003. "Wavelength Routing and Assignment in a Survivable WDM Mesh Network," Operations Research, INFORMS, vol. 51(1), pages 67-79, February.
  • Handle: RePEc:inm:oropre:v:51:y:2003:i:1:p:67-79
    DOI: 10.1287/opre.51.1.67.12805
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    References listed on IDEAS

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    1. Dorit S. Hochbaum & Eli V. Olinick, 2001. "The Bounded Cycle-Cover Problem," INFORMS Journal on Computing, INFORMS, vol. 13(2), pages 104-119, May.
    2. A. M. Geoffrion & R. E. Marsten, 1972. "Integer Programming Algorithms: A Framework and State-of-the-Art Survey," Management Science, INFORMS, vol. 18(9), pages 465-491, May.
    3. Jeffery L. Kennington & Jason E. Whitler, 1999. "An Efficient Decomposition Algorithm to Optimize Spare Capacity in a Telecommunications Network," INFORMS Journal on Computing, INFORMS, vol. 11(2), pages 149-160, May.
    4. Steven Cosares & David N. Deutsch & Iraj Saniee & Ondria J. Wasem, 1995. "SONET Toolkit: A Decision Support System for Designing Robust and Cost-Effective Fiber-Optic Networks," Interfaces, INFORMS, vol. 25(1), pages 20-40, February.
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    Cited by:

    1. Agarwal, Y.K. & Venkateshan, Prahalad, 2016. "Near optimal design of wavelength routed optical networks," European Journal of Operational Research, Elsevier, vol. 250(3), pages 990-1000.
    2. Kennington, Jeffery L. & Olinick, Eli V. & Spiride, Gheorghe, 2007. "Basic mathematical programming models for capacity allocation in mesh-based survivable networks," Omega, Elsevier, vol. 35(6), pages 629-644, December.
    3. Hongwei Gui & Rudolf M¨uller & Rakesh V. Vohra, 2004. "Dominant Strategy Mechanisms with Multidimensional Types," Discussion Papers 1392, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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