The Partial Augment---Relabel Algorithm for the Maximum Flow Problem

  • Authors:
  • Andrew V. Goldberg

  • Affiliations:
  • Microsoft Research --- Silicon Valley, Mountain View CA 94062

  • Venue:
  • ESA '08 Proceedings of the 16th annual European symposium on Algorithms
  • Year:
  • 2008

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Abstract

The maximum flow problem is a classical optimization problem with many applications. For a long time, HI-PR, an efficient implementation of the highest-label push-relabel algorithm, has been a benchmark due to its robust performance. We propose another variant of the push-relabel method, the partial augment-relabel (PAR) algorithm. Our experiments show that PAR is very robust. It outperforms HI-PR on all problem families tested, asymptotically in some cases.