Sorting by parallel insertion on a one-dimensional subbus array

doi:10.1109/12.736441

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Sorting by parallel insertion on a one-dimensional subbus array

1998-01-01

PRE

James D. Fix *

Richard E. Ladner

DOI：10.1109/12.736441

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Abstract

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We consider the problem of sorting on a one-dimensional subbus array of processors, an architecture that communicates using a segmentable bus. The subbus broadcast operation makes possible a new class of parallel sorting algorithms whose complexity we analyze with the parallel insertion model. We give per-input lower bounds for sorting in the parallel insertion model and demonstrate sorting strategies that are optimal by matching those lower bounds. For each of our sorting strategies, we discuss the issues involved in implementing them on subbus machines. Finally, we empirically evaluate the performance of our sorting strategies by applying them to shearsort, a common two-dimensional mesh sorting algorithm. Our results suggest that for sorting the subbus broadcast capability gives at most a slight advantage over using only nearest neighbor communication.

Keywords:

subbus array

sorting

parallel algorithms

lower bounds

segmented-bus architecture

reconfigurable mesh architecture

odd-even transposition sort

bubble sort