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Parallel Asynchronous Algorithms for the K Shortest Paths Problem

Author

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  • F. Guerriero

    (Università della Calabria)

  • R. Musmanno

    (Università della Calabria)

Abstract

We deal with the problem of computing in parallel the first K shortest paths from a single origin node to all other nodes of a directed graph. Our approach is based on a very easy way to introduce parallelism in the typical sequential label-correcting method. We describe formally an asynchronous method defined on a shared-memory parallel computational model, and we prove its theoretical correctness under very weak assumptions. According to different strategies used to implement the generic method, we propose several parallel label-correcting algorithms, and we analyze the numerical performance of the resulting codes on a nonuniform memory access multiprocessor via computational results collected on random generated networks. The advantage of parallelism is significant for very large-scale problems of practical interest.

Suggested Citation

  • F. Guerriero & R. Musmanno, 2000. "Parallel Asynchronous Algorithms for the K Shortest Paths Problem," Journal of Optimization Theory and Applications, Springer, vol. 104(1), pages 91-108, January.
    • Handle: RePEc:spr:joptap:v:104:y:2000:i:1:d:10.1023_a:1004676705907
    DOI: 10.1023/A:1004676705907
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    References listed on IDEAS

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