K最大和问题的算法和K最大子阵列问题的VLSI算法

7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings. Pub Date : 2004-05-10 DOI:10.1109/ISPAN.2004.1300488

Sung Eun Bae, T. Takaoka

{"title":"K最大和问题的算法和K最大子阵列问题的VLSI算法","authors":"Sung Eun Bae, T. Takaoka","doi":"10.1109/ISPAN.2004.1300488","DOIUrl":null,"url":null,"abstract":"Given an array of positive and negative values, we consider the problem of K maximum sums. When an overlapping property needs to be observed, previous algorithms for the maximum sum are not directly applicable. We designed an O(K * n) algorithm for the K maximum subsequences problem. This was then modified to solve the K maximum subarrays problem in O(K * n/sup 3/) time. Finally, we present a VLSI K maximum subarrays algorithm with O(K * n) steps and a circuit size of O(n/sup 2/), which is cost-optimal in parallelisation of the sequential algorithm.","PeriodicalId":198404,"journal":{"name":"7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"46","resultStr":"{\"title\":\"Algorithms for the problem of K maximum sums and a VLSI algorithm for the K maximum subarrays problem\",\"authors\":\"Sung Eun Bae, T. Takaoka\",\"doi\":\"10.1109/ISPAN.2004.1300488\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given an array of positive and negative values, we consider the problem of K maximum sums. When an overlapping property needs to be observed, previous algorithms for the maximum sum are not directly applicable. We designed an O(K * n) algorithm for the K maximum subsequences problem. This was then modified to solve the K maximum subarrays problem in O(K * n/sup 3/) time. Finally, we present a VLSI K maximum subarrays algorithm with O(K * n) steps and a circuit size of O(n/sup 2/), which is cost-optimal in parallelisation of the sequential algorithm.\",\"PeriodicalId\":198404,\"journal\":{\"name\":\"7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"46\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISPAN.2004.1300488\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPAN.2004.1300488","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 46

摘要

给定一个正负数组，我们考虑K个最大和的问题。当需要观察重叠属性时，先前的最大和算法不能直接适用。我们设计了一个O(K * n)算法来解决K个最大子序列问题。然后将其修改为在O(K * n/sup 3/)时间内解决K最大子数组问题。最后，我们提出了一种具有O(K * n)步长和O(n/sup 2/)电路大小的VLSI K最大子阵列算法，该算法在串行算法的并行化方面是成本最优的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Algorithms for the problem of K maximum sums and a VLSI algorithm for the K maximum subarrays problem

Given an array of positive and negative values, we consider the problem of K maximum sums. When an overlapping property needs to be observed, previous algorithms for the maximum sum are not directly applicable. We designed an O(K * n) algorithm for the K maximum subsequences problem. This was then modified to solve the K maximum subarrays problem in O(K * n/sup 3/) time. Finally, we present a VLSI K maximum subarrays algorithm with O(K * n) steps and a circuit size of O(n/sup 2/), which is cost-optimal in parallelisation of the sequential algorithm.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.

自引率

0.00%

发文量