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A Combinatorial Approximation Algorithm for the Multicommodity Flow Problem

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Approximation and Online Algorithms (WAOA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2909))

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Abstract

This work is motivated by the need for approximation algorithms for the integral multicommodity flow problem which arise in numerous optimization scenarios, including the design of telecommunication networks. We improve on one of the most efficient known combinatorial approximation algorithm for fractional multicommodity flow by using an incremental approach. This approach is validated by experimental results, which show a significant speed-up.

Work funded by European project fet crescco and action color dynamic.

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References

  1. Bouklit, M., Coudert, D., Lalande, J.-F., Paul, C., Rivano, H.: Approximate multicommodity flow for wdm networks design. In: Sirocco 10, Umea, Sweden (June 2003)

    Google Scholar 

  2. Bertimas, D., Tsitsiklis, J.N.: Introduction to Linear Optimization. Athena Scientific, Belmont (1997)

    Google Scholar 

  3. Coudert, D., Rivano, H.: Lightpath assignment for multifibers WDM optical networks with wavelength translators. In: IEEE Globecom 2002, Taiwan (November 2002) OPNT-01-5

    Google Scholar 

  4. Ford, L., Fulkerson, D.: Flows in Networks. Princeton University Press, Princeton (1962)

    MATH  Google Scholar 

  5. Fleischer, L.: Approximating fractional multicommodity flows independent of the number of commodities. SIAM J. Discrete Math. 13(4), 505–520 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  6. Garg, N., Konemann, J.: Faster and simpler algorithms for multicommodity flow and other fractional packing problems. In: IEEE Symposium on Foundations of Computer Science, pp. 300–309 (1998)

    Google Scholar 

  7. Raghavan, P.: Probabilistic construction of deterministic algorithm: Approximating packing integer programs. Journal of Computer and Systems Sciences 38, 683–707 (1994)

    MathSciNet  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Coudert, D., Rivano, H., Roche, X. (2004). A Combinatorial Approximation Algorithm for the Multicommodity Flow Problem. In: Solis-Oba, R., Jansen, K. (eds) Approximation and Online Algorithms. WAOA 2003. Lecture Notes in Computer Science, vol 2909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24592-6_22

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  • DOI: https://doi.org/10.1007/978-3-540-24592-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21079-5

  • Online ISBN: 978-3-540-24592-6

  • eBook Packages: Springer Book Archive

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