Telecommunication Systems

, Volume 21, Issue 2–4, pp 301–318 | Cite as

Ring Network Design by Lagrangean Based Column Generation

  • M. Henningsson
  • K. Holmberg
  • M. Rönnqvist
  • P. Värbrand


We discuss the problem of designing a telecommunication network with the survivability requirement that the network should be composed of connected rings of links. The network design problem is then to choose links from a given network, and compose them into a number of rings. Furthermore, the rings should be connected at certain transit nodes. The traffic between rings may pass through other rings. Each ring is associated with a certain fixed cost depending on the length of the ring. We describe the problem, modeled as a linear integer programming problem, and a heuristic solution method, based on column generation and Lagrangean relaxation.

network design rings column generation Lagrangean relaxation heuristic 


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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • M. Henningsson
    • 1
  • K. Holmberg
    • 1
  • M. Rönnqvist
    • 1
  • P. Värbrand
    • 1
  1. 1.Department of MathematicsLinköping UniversityLinköpingSweden

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