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International Conference on Integer Programming and Combinatorial Optimization

IPCO 1995: Integer Programming and Combinatorial Optimization pp 157–171Cite as

On implementing push-relabel method for the maximum flow problem

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 920))

Abstract

We study efficient implementations of the push-relabel method for the maximum flow problem. The resulting codes are faster than the previous codes, and much faster on some problem families. The speedup is due to the combination of heuristics used in our implementations. We also exhibit a family of problems for which the running time of all known methods seem to have a roughly quadratic growth rate.

Andrew V. Goldberg was supported in part by NSF Grant CCR-9307045 and a grant from Powell Foundation. This work was done while Boris V. Cherkassky was visiting Stanford University Computer Science Department and supported by the above-mentioned NSF and Powell Foundation grants.

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Author information

Authors and Affiliations

  1. Central Institute for Economics and Mathematics, Krasikova St. 32, 117418, Moscow, Russia

    Boris V. Cherkassky

  2. Computer Science Department, Stanford University, 94305, Stanford, CA, USA

    Andrew V. Goldberg

Authors
  1. Boris V. Cherkassky
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  2. Andrew V. Goldberg
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Editor information

Egon Balas Jens Clausen

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© 1995 Springer-Verlag Berlin Heidelberg

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Cherkassky, B.V., Goldberg, A.V. (1995). On implementing push-relabel method for the maximum flow problem. In: Balas, E., Clausen, J. (eds) Integer Programming and Combinatorial Optimization. IPCO 1995. Lecture Notes in Computer Science, vol 920. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59408-6_49

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  • DOI: https://doi.org/10.1007/3-540-59408-6_49

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59408-6

  • Online ISBN: 978-3-540-49245-0

  • eBook Packages: Springer Book Archive

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