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Basic mathematical programming models for capacity allocation in mesh-based survivable networks

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  • Kennington, Jeffery L.
  • Olinick, Eli V.
  • Spiride, Gheorghe

Abstract

Designing a low cost, survivable, telecommunication network is an extremely complicated process. Most commercial products available to help with this process are based on simulation and/or proprietary heuristics. However, there is a growing consensus that mathematical programming belongs in the designer's "toolkit." Easy-to-use modeling languages coupled with powerful optimization solvers have greatly reduced the burden of implementation of mathematical programming theory into the practice of commercial network design. This manuscript presents an introduction to the basic mathematical programming models for capacity allocation that have been proposed for mesh-based survivable networks.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jomega:v:35:y:2007:i:6:p:629-644
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    References listed on IDEAS

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    Cited by:

    1. Agarwal, Y.K. & Venkateshan, Prahalad, 2014. "Survivable network design with shared-protection routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 836-845.
    2. Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.

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