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On describing the routing capacity regions of networks

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  • Ali Kakhbod
  • S. Tabatabaei Yazdi

Abstract

The routing capacity region of networks with multiple unicast sessions can be characterized using Farkas lemma as an infinite set of linear inequalities. In this paper this result is sharpened by exploiting properties of the solution satisfied by each rate-tuple on the boundary of the capacity region, and a finite description of the routing capacity region which depends on network parameters is offered. For the special case of undirected ring networks additional results on the complexity of the description are provided. Copyright Springer-Verlag 2010

Suggested Citation

  • Ali Kakhbod & S. Tabatabaei Yazdi, 2010. "On describing the routing capacity regions of networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(1), pages 95-106, August.
    • Handle: RePEc:spr:mathme:v:72:y:2010:i:1:p:95-106
    DOI: 10.1007/s00186-010-0308-3
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    References listed on IDEAS

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    1. T. C. Hu, 1963. "Multi-Commodity Network Flows," Operations Research, INFORMS, vol. 11(3), pages 344-360, June.
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