{"title":"Decentralized evaluation of associative and commutative functions","authors":"C. Hsieh","doi":"10.1109/ICDCS.1989.37924","DOIUrl":null,"url":null,"abstract":"A family of distributed algorithms for decentralized evaluation of associative and commutative functions is presented. It is shown that if N is the member of processes which cooperate to evaluate such a function, then for each positive integer c<or=1 there is an algorithm in the family that carries out the computation in c rounds of message exchange and requires a total of cN(N/sup 1/c/-1) messages to be sent. Using c as a design parameter, this family of algorithms permits a tradeoff between the number of rounds of message exchange and the total number of messages passed among the processes. The class of functions considered underlies many decentralized protocols, such as decentralized extrema finding and distributed transaction commit.<<ETX>>","PeriodicalId":266544,"journal":{"name":"[1989] Proceedings. The 9th International Conference on Distributed Computing Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1989-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1989] Proceedings. The 9th International Conference on Distributed Computing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICDCS.1989.37924","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
A family of distributed algorithms for decentralized evaluation of associative and commutative functions is presented. It is shown that if N is the member of processes which cooperate to evaluate such a function, then for each positive integer c>
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