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Ring network design by Lagrangean based column generation
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-5907-0087
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2002 (English)In: Telecommunications Systems, ISSN 1018-4864, E-ISSN 1572-9451, Vol. 21, no 2-4, 301-318 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2002. Vol. 21, no 2-4, 301-318 p.
Keyword [en]
network design, rings, column generation, Lagrangean relaxation, heuristic
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-48707DOI: 10.1023/A:1020954800383OAI: oai:DiVA.org:liu-48707DiVA: diva2:269603
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2013-08-29

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Henningsson, MathiasHolmberg, KajRönnqvist, MikaelVärbrand, Peter

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