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Multicommodity Flow Problems and Decomposition in Telecommunications Networks

Abdel Lisser () and Philippe Mahey ()
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Abdel Lisser: Université de Paris Sud, LRI - UMR 8623
Philippe Mahey: Université Blaise Pascal, LIMOS - UMR 6158

Chapter 10 in Handbook of Optimization in Telecommunications, 2006, pp 241-267 from Springer

Abstract: Abstract The purpose of this chapter is to investigate multicommodity flow problems that appear in the network design and operation of modern broadband packet-switched networks. We present arc-node and arc-path models and analyze specialized formulations corresponding to hard to solve instances like the minimax congestion problem and the capacity assignment of data networks in the presence of failures. Decomposition methods are studied to cope with the coupling constraints which define interactions between commodities on critical arcs or the combinatorial choice between normal and spare capacities. We focus here mainly on continuous flow models with linear or convex costs.

Keywords: Multicommodity flow problems; network design; packet-switched networks; arc-node models; arc-path models; minimax congestion; capacity assignment; decomposition methods; continuous flow models (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-30165-5_10

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DOI: 10.1007/978-0-387-30165-5_10

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