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  • A study of average-case speedup and scalability of parallel computations on static networks

    Author(s)
    Li, K
    Pan, Y
    Shen, H
    Zheng, SQ
    Griffith University Author(s)
    Shen, Hong
    Year published
    1999
    Metadata
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    Abstract
    A parallel system consists of a parallel algorithm and a parallel machine that supports the implementation of the algorithm. The scalability of a parallel system is a measure of its capability to increase speedup in proportion to the number of processors, or its capability to keep a constant efficiency as the number of processors increases. The present paper is devoted to the investigation of the average-case scalability of parallel algorithms executing on multicomputers with symmetric static networks, including the completely connected network, ring, hypercube, and torus. In particular, we characterize the communication ...
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    A parallel system consists of a parallel algorithm and a parallel machine that supports the implementation of the algorithm. The scalability of a parallel system is a measure of its capability to increase speedup in proportion to the number of processors, or its capability to keep a constant efficiency as the number of processors increases. The present paper is devoted to the investigation of the average-case scalability of parallel algorithms executing on multicomputers with symmetric static networks, including the completely connected network, ring, hypercube, and torus. In particular, we characterize the communication overhead such that the expected efficiency can be kept at certain constant level, and that the number of tasks grows at the rate Θ(PlogP).
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    Journal Title
    Mathematical and Computer Modelling
    Volume
    29
    Issue
    9
    DOI
    https://doi.org/10.1016/S0895-7177(99)00083-7
    Subject
    Applied mathematics
    Numerical and computational mathematics
    Theory of computation
    Publication URI
    http://hdl.handle.net/10072/120736
    Collection
    • Journal articles

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