A Cost Optimal Parallel Algorithm for Patience Sorting

A Cost Optimal Parallel Algorithm for Patience Sorting
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一种成本最优的耐心排序并行算法

DOI:
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发表时间:
2006
影响因子:
0.4
通讯作者:
A. Fujiwara
A. Fujiwara
中科院分区:
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文献类型:
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作者:
T. Nakashima;A. Fujiwara

文献摘要

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在本文中,我们考虑一种用于耐心排序的并行算法。该问题是否属于NC类或P -完全类尚不清楚。我们针对n个不同整数的耐心排序提出了两种算法。第一种算法在EREW PRAM上使用p个处理器,运行时间为,其中m是耐心排序的一个解中递减子序列的数量。第二种算法在EREW PRAM上使用p个处理器,运行时间为。如果满足条件,第二种算法将成为成本最优算法。
In this paper, we consider a parallel algorithm for the patience sorting. The problem is not known to be in the class NC or P-complete. We propose two algorithms for the patience sorting of n distinct integers. The first algorithm runs in time using p processors on the EREW PRAM, where m is the number of decreasing subsequences in a solution of the patience sorting. The second algorithm runs in time using p processors on the EREW PRAM. If is satisfied, the second algorithm becomes cost optimal.