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A Survey of Algorithms for Convex Multicommodity Flow Problems

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  • A. Ouorou

    ()
    (LIMOS---Université Blaise Pascal, ISIMA, BP 125, 63173 Aubière Cedex, France)

  • P. Mahey

    ()
    (LIMOS---Université Blaise Pascal, ISIMA, BP 125, 63173 Aubière Cedex, France)

  • J.-Ph. Vial

    ()
    (HEC, Section of Management Studies, University of Geneva, 102, Bd. Carl-Vogt, 1211 Geneva 4, Switzerland)

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    Abstract

    Routing problems appear frequently when dealing with the operation of communication or transportation networks. Among them, the message routing problem plays a determinant role in the optimization of network performance. Much of the motivation for this work comes from this problem which is shown to belong to the class of nonlinear convex multicommodity flow problems. This paper emphasizes the message routing problem in data networks, but it includes a broader literature overview of convex multicommodity flow problems. We present and discuss the main solution techniques proposed for solving this class of large-scale convex optimization problems. We conduct some numerical experiments on the message routing problem with four different techniques.

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    File URL: http://dx.doi.org/10.1287/mnsc.46.1.126.15132
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 46 (2000)
    Issue (Month): 1 (January)
    Pages: 126-147

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    Handle: RePEc:inm:ormnsc:v:46:y:2000:i:1:p:126-147

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    Related research

    Keywords: Network Optimization; Multicommodity Flows; Message Routing; Convex Programming;

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    Cited by:
    1. Morabito, Reinaldo & de Souza, Mauricio C. & Vazquez, Mariana, 2014. "Approximate decomposition methods for the analysis of multicommodity flow routing in generalized queuing networks," European Journal of Operational Research, Elsevier, vol. 232(3), pages 618-629.
    2. Gürel, Sinan, 2011. "A conic quadratic formulation for a class of convex congestion functions in network flow problems," European Journal of Operational Research, Elsevier, vol. 211(2), pages 252-262, June.
    3. Wang, Shuaian, 2014. "A novel hybrid-link-based container routing model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 165-175.

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