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An Analytical Model for a Class of Architectures under Master-Slave Paradigm

An Analytical Model for a Class of Architectures under Master-Slave Paradigm

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时间：2019-05-27

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1、AnAnalyticalModelforaClassofArchitecturesunderMaster-SlaveParadigmYaseminYalcnkayaandTrondSteihaugUniversityofBergenDepartmentofInformaticsBergen,NorwayAbstract.Webuildananalyticalmodelforanapplicationutilizingmaster-slaveparadigm.Inthemodel,onlythreearchitectureparametersareused:late

2、ncy,bandwidthandfloprate.Insteadofusingthevendorsuppliedorexperimentallydeterminedvalues,theseparametersarees-timatedusingtheanalyticalmodelitself.ExperimentalresultsonCrayT3EandSGIOrigin2000indicatethatthissimplemodelcangivefairpredictions.Whilebuildingaperformancemodel,itiscrucialtocat

3、chthemainfactorsofbe-havioroftheprograminquestion.Thesefactorsaretheparallelizationstrategyused,theamountofcommunicationandcomputation,andthearchitectureoftheparallelcomputer.Thesoftwareemployedcombinedwiththechosenmessagepassingparadigmplaysasigni cantroleinthee ectivevaluesofthearchit

4、ec-tureparameters.Apromisingapproachistobuildasimpli edmodelforareal"applicationonatargetarchitecture.Thepurposeofthispaperistobuildanana-lyticalmodeltopredictthebehaviorofiterativenumericalalgorithmsonaclassofarchitecturesusingmaster-slaveparadigm.Underthemaster-slaveparadigm,theexecu

5、tionoftheparallelprogramcanbeseenasasequenceofparallelandpurelysequentialphases.Intheparallelphasetheslavescomputeconcurrentlyandinthesequentialphaseonlythemasterdoescomputation.Betweenthesephasesthereiscommunicationbetweenthemasterandslaveseitherinformofsinglenodebroadcastfromthemaster

6、,orsinglesendsandreceivesbetweenthemasterandanyoneoftheslaves.Wearegoingtoanalyzeoneofmanypossibleparallelprogramsunderthisparadigmtoshowthatincertaincases,itispossi-bletoquantifytheinfluenceofthefactorsmentionedaboveontheperformance,andasmallnumberofarchitectureparameterscanbede nedtobe

7、usedinananalyticalmodel.Inordertoestimatethearchitectureparametersandtheirinteractionswewillmakesomeassumptions.TheiterativealgorithmusedintheanalysisisablockJacobialgorithmforthesolutionoflinearleastsquaresproblemsoutlinedbyDennisandSteihaug[2].Oneimportantaspectofthisalgorith

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