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Efficient Parallel Algorithms for the Minimum Cost Flow Problem

Author

Listed:
  • P. Beraldi

    (Università della Calabria)

  • F. Guerriero

    (Università della Calabria)

  • R. Musmanno

    (Università della Calabria)

Abstract

In this paper, we propose efficient parallel implementations of the auction/sequential shortest path and the ∈-relaxation algorithms for solving the linear minimum cost flow problem. In the parallel auction algorithm, several augmenting paths can be found simultaneously, each of them starting from a different node with positive surplus. Convergence results of an asynchronous version of the algorithm are also given. For the ∈-relaxation method, there exist already parallel versions implemented on CM-5 and CM-2; our implementation is the first on a shared memory multiprocessor. We have obtained significant speedup values for the algorithms considered; it turns out that our implementations are effective and efficient.

Suggested Citation

  • P. Beraldi & F. Guerriero & R. Musmanno, 1997. "Efficient Parallel Algorithms for the Minimum Cost Flow Problem," Journal of Optimization Theory and Applications, Springer, vol. 95(3), pages 501-530, December.
    • Handle: RePEc:spr:joptap:v:95:y:1997:i:3:d:10.1023_a:1022613603828
    DOI: 10.1023/A:1022613603828
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    References listed on IDEAS

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