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A Computational Study of the Pseudoflow and Push-Relabel Algorithms for the Maximum Flow Problem

Author

Listed:
  • Bala G. Chandran

    (Analytics Operations Engineering, Inc., Boston, Massachusetts 02109)

  • Dorit S. Hochbaum

    (Department of Industrial Engineering and Operations Research, and Walter A. Haas School of Business, University of California, Berkeley, California 94720)

Abstract

We present the results of a computational investigation of the pseudoflow and push-relabel algorithms for the maximum flow and minimum s - t cut problems. The two algorithms were tested on several problem instances from the literature. Our results show that our implementation of the pseudoflow algorithm is faster than the best-known implementation of push-relabel on most of the problem instances within our computational study.

Suggested Citation

  • Bala G. Chandran & Dorit S. Hochbaum, 2009. "A Computational Study of the Pseudoflow and Push-Relabel Algorithms for the Maximum Flow Problem," Operations Research, INFORMS, vol. 57(2), pages 358-376, April.
    • Handle: RePEc:inm:oropre:v:57:y:2009:i:2:p:358-376
    DOI: 10.1287/opre.1080.0572
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    References listed on IDEAS

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    1. Ahuja, Ravindra K. & Kodialam, Murali & Mishra, Ajay K. & Orlin, James B., 1997. "Computational investigations of maximum flow algorithms," European Journal of Operational Research, Elsevier, vol. 97(3), pages 509-542, March.
    2. Jean-Claude Picard, 1976. "Maximal Closure of a Graph and Applications to Combinatorial Problems," Management Science, INFORMS, vol. 22(11), pages 1268-1272, July.
    3. Dorit S. Hochbaum, 2008. "The Pseudoflow Algorithm: A New Algorithm for the Maximum-Flow Problem," Operations Research, INFORMS, vol. 56(4), pages 992-1009, August.
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    Cited by:

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    3. Li, Xiangyong & Aneja, Y.P., 2017. "Regenerator location problem: Polyhedral study and effective branch-and-cut algorithms," European Journal of Operational Research, Elsevier, vol. 257(1), pages 25-40.
    4. Alipour, Hossein & Muñoz, Mario Andrés & Smith-Miles, Kate, 2023. "Enhanced instance space analysis for the maximum flow problem," European Journal of Operational Research, Elsevier, vol. 304(2), pages 411-428.
    5. Daniel Espinoza & Marcos Goycoolea & Eduardo Moreno & Alexandra Newman, 2013. "MineLib: a library of open pit mining problems," Annals of Operations Research, Springer, vol. 206(1), pages 93-114, July.
    6. Enrique Jelvez & Nelson Morales & Julian M. Ortiz, 2021. "Stochastic Final Pit Limits: An Efficient Frontier Analysis under Geological Uncertainty in the Open-Pit Mining Industry," Mathematics, MDPI, vol. 10(1), pages 1-16, December.

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