• Title/Summary/Keyword: Partitionability

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Design of a Partitionable Single-Stage Shuffle-Exchange Network (분할 가능한 단단계(Single-Stage) Shuffle-Exchange 네트워크의 설계)

  • Lee, Jae-Dong
    • Journal of KIISE:Computer Systems and Theory
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    • v.30 no.3_4
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    • pp.130-137
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    • 2003
  • This paper presents the problem of partitioning the Single-Stage Shuffle-Exchange Network(SSEN). An algorithm, named SSEN_to_PSEN, is devised to transform an SSEN into a Partitionable Shuffle-Exchange Network (PSEN). The proposed algorithm presents that the SSEN can be partitioned into independent sub-networks without additional links for N $\leq$ 8. Additional links are needed in order to partition an SSEN, but only when N $\geq$ 16. The running time of the algorithm SSEN_to_PSEN is $\theta$(NlogN). By comparing with a hypercube network, the PSEN is less expensive than a hypercube network even when some additional links are added. By partitioning, a large PSEN in a massively parallel machine can compute various problems for multiple users simultaneously, thereby the processing efficiency of the machine is improved.