OPTIMAL MULTISELECTION IN HYPERCUBES

Hong Shen
{"title":"OPTIMAL MULTISELECTION IN HYPERCUBES","authors":"Hong Shen","doi":"10.1080/10637199808947387","DOIUrl":null,"url":null,"abstract":"We study efficient parallel solutions to the problem of selecting r elements at specified ranks from a set of n arbitrary elements, known as multiselection, in a hypercube with p<n processors. We propose two parallel algorithms based on different approaches, where one requires processors to operate in the SIMD mode, and the other in the MIMD mode. Our SIMD algorithm runs in O(n ϵ min{r, log p}) time when p = n 1−r for any 0<ϵ<1, which is cost-optimal when r≥p. With the same number of processors, our MIMD algorithm runs in O(n ϵ logr) time and is cost-optimal for any values of r. Both algorithms are more efficient than straightforward solutions and that of direct simulation of the optimal EREW algorithm.","PeriodicalId":406098,"journal":{"name":"Parallel Algorithms and Applications","volume":"59 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Parallel Algorithms and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10637199808947387","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8

Abstract

We study efficient parallel solutions to the problem of selecting r elements at specified ranks from a set of n arbitrary elements, known as multiselection, in a hypercube with p
超立方体中的最佳多选择
本文研究了在p
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信