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A Survey of Algorithms for Convex Multicommodity Flow Problems

  • 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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    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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    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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    1. J. L. Goffin & A. Haurie & J. P. Vial, 1992. "Decomposition and Nondifferentiable Optimization with the Projective Algorithm," Management Science, INFORMS, vol. 38(2), pages 284-302, February.
    2. Gondzio, J. & Sarkissian, R. & Vial, J.-P., 1997. "Using an interior point method for the master problem in a decomposition approach," European Journal of Operational Research, Elsevier, vol. 101(3), pages 577-587, September.
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