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An Experimental Analysis of Parallel Sorting Algorithms (1998) [15 citations — 2 self]

by Guy E. Blelloch ,  C. Greg Plaxton ,  Charles E. Leiserson ,  Stephen J. Smith ,  Bruce M. Maggs ,  Marco Zagha
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Abstract:

We have developed a methodology for predicting the performance of parallel algorithms on real parallel machines. The methodology consists of two steps. First, we characterize a machine by enumerating the primitive operations that it is capable of performing along with the cost of each operation. Next, we analyze an algorithm by making a precise count of the number of times the algorithm performs each type of operation. We have used this methodology to evaluate many of the parallel sorting algorithms proposed in the literature. Of these, we selected the three most promising, Batcher's bitonic sort, a parallel radix sort, and a sample sort similar to Reif and Valiant's flashsort, and implemented them on the Connection Machine model CM-2. This paper analyzes the three algorithms in detail and discusses the issues that led us to our particular implementations. On the CM-2 the predicted performance of the algorithms closely matches the observed performance, and hence our methodology can be ...

Citations

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173 A guided tour of Chernoff bounds – Hagerup, Rub - 1990
155 Tight bounds on the complexity of parallel sorting – Leighton - 1985
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68 Parallel permutation and sorting algorithms and a new generalized connection network – Nassimi, Sahni - 1982
40 Samplesort: A sampling approach to minimal storage tree sorting – Frazer, McKellar
38 Parallel sorting and data partitioning by sampling – Huang, Chow - 1983
35 Radix sort for vector multiprocessors – Zagha, Blelloch - 1991
34 Optimal sorting algorithms for parallel computers – Baudet, Stevenson - 1978
28 Implementations of randomized sorting on large parallel machines – Hightower, Prins, et al.
22 Efficient Computation on Sparse Interconnection Networks – Plaxton - 1989
20 An improved supercomputer sorting benchmark – Thearling, Smith - 1992
17 A (fairly) simple circuit that (usually) sorts – Leighton, Plaxton - 1990
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14 Hyperquicksort: A fast sorting algorithm for hypercubes – Wagar - 1986
12 Cubesort: A parallel algorithm for sorting N data items with S-sorters – Cypher, Sanz - 1992
12 A balanced bin sort for hypercube multicomputers – Won, Sahni - 1988
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8 Binsorting on hypercubes with d-port communication – Seidel, George - 1988
2 Implementations of randomized sorting on large parallel machines – Reif - 1992