{"title":"Token distribution on reconfigurable d-dimensional meshes","authors":"G. Turner, H. Schroder","doi":"10.1109/ICAPP.1995.472203","DOIUrl":null,"url":null,"abstract":"We propose an algorithm to solve the Token Distribution problem, a static variant of the load balancing problem, on d-dimensional, reconfigurable meshes with toroidal connections and side length n. No other algorithms have been proposed under this model of computation. We show that for token size T, the discrepancy /spl Delta/ between the maximum and minimum number of tokens per PE can be reduced to 1 in at most 2n/spl Delta/(T+4d) steps.<<ETX>>","PeriodicalId":448130,"journal":{"name":"Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing","volume":"140 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICAPP.1995.472203","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
We propose an algorithm to solve the Token Distribution problem, a static variant of the load balancing problem, on d-dimensional, reconfigurable meshes with toroidal connections and side length n. No other algorithms have been proposed under this model of computation. We show that for token size T, the discrepancy /spl Delta/ between the maximum and minimum number of tokens per PE can be reduced to 1 in at most 2n/spl Delta/(T+4d) steps.<>
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