论文类有关论文例文,与写文河北,写文成人相关论文查重软件
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tiongraphwiththemaximumdegree(等于4.Figure6.Aredistributiongraphwith(等于4.
Weneedfourmunicationstepsforthisdataredistributionsince(((G)等于((G)等于4.Inaddition,theoverallcostofthecorrespondingschedulingis38(SeeTable1).
Table1.TheschedulingcorrespondstotheedgecoloringinFigure4.
Step1(red)2(yellow)3(green)4(purple)TotalCost18631138
NotethatthetimecostofStep1(coloredinred)isdominatedbythedatasegment(with18dataelements)fromP0toQ0.Supposethatweevenlypartitionthesegmentintotwodatasegments(with9and9dataelementsrespectively)andtransmitthemindifferentsteps,thenthetimerequiredforStep1isreducedto10(dominatedbythedatasegmentfromP3toQ3).Notethatthedatapartitionaddsanedge(P0,Q0)intheoriginalredistributiongraph.Similarly,wecanpartitionanylargedatasegmentintomultiplesmalldatasegmentifthemaximumdegreeoftheresultingredistributiongraphremainsunchanging.Afterseveraldatapartitions,theoverallmunicationcostcanbereducedto29andthenumberofrequiredmunicationstepisstillminimized(seeFigure7andTable2).
Figure7.Theresultingredistributiongraphafterpartitioninglongdatasegments.
Table2.Theschedulingafterpartitionlongdatamunications.
Step1(red)2(yellow)3(green)4(purple)TotalCost995629
较正式的成果说明.
【范例】
Thealgorithmoftheselectionstepisshownasfollows.
AlgorithmSelection()
Input:AredistributiongraphG等于(S,T,E)withmaximumdegree.
Output:AredistributiongraphG等于(S,T,E(D)withmaximumdegree,whereDrepresentsthosedummyedgesaddedinthealgorithm.
Step1.Selecttheedgeek等于(si,tj)fromEsuchthatthevaluewk/(1+vk)isthelargestanddG(si)<,anddG(tj)<,,wherevkdenotesthenumberofaddeddummyedgewiththesameendpointsofek.Ifnosuchedgeexists,terminatethisalgorithm.
Step2.Addadummyedgeek'等于(si,tj)toDandsetvk等于vk+1.
Step3.GotoStep1.
ThetimeplexityofSelectionisO(mlogm),wheremisthesizeofedgesetoftheinputredistributiongraph.
4.4Complexity
5.理论上的证明(simulationresults).实验结果GEN_BLOCKdistribution.GivenanirregulararrayredistributiononA[1:N]overPprocessors,theaveragesizeofdatablocksisN/P.LetTb(Ta)denotethetotalredistributioncostwithout(with)applyingouralgorithm.ThereductionratioRequals(Tb-Ta)/Tb.Moreover,let{E1,E2,E3,等,E(}ofGdenotetheoutputofSchedulingstep.WealsodefineCi等于.Asaresult,theoverallredistributiontimeisboundedbyB等于sincetheproposedalgorithmdoesnotselectmaximum-degreeedgesforfurtherpartition.Otherwise,therequiredmunicationstepwillbeincreased.
Tothoroughlyevaluatehowouralgorithmaffectsthedatatransfercost,oursimulationsconsiderdifferentscenarios.Eachdatapointinthefollowingfiguresrepresentsanaverageofatleast10000runsineachdifferentscenario.
Thefirstscenarioassumesthatthesizeofdataarrayisfixed,i.e.,N等于100,thenumberofprocessorsrangefrom4,8,16,32,64,to128,thesizeofdatablocksisrandomlyselectedbetween1and50.InFigure12,thevalueofTbdrasticallyraisesasthenumberofprocessorsincreases.However,afterapplyingouralgorithm,theoveralldistributiontimeTasmoothlyraisesasthenumberofprocessorsincreases.NotethattheBvaluedropsasthenumberofprocessorincreaseduetothedecreaseoftheaveragevaluesofdataelementsinasinglemunication.Inshort,whenthenumberofprocessorsincreases,thereductionratioRraisesifapplyingourpartitionalgorithm.
Figure12.SimulationresultsofScenarioI.
Thesecondscenarioassumesthatthenumberofprocessorsisfixed,i.e.,P等于32,thesizeofdataarrayNequals1600,3200,6400,9600,or12800,andthesizeofdatablocksisrandomlyselectedbetween1and2((N/P).AsshowninFigure13,thevaluesofTa,Tb,andBraisesasthesizeofdataarrayNincreasesduetotheincreaseoftheaveragenumberofdataelementsinasinglemunication.However,thereductionratiostaysabout52%byapplyingourpartitionalgorithm,evenwiththelargesizeofdataarray.
Figure13.SimulationresultsofScenarioII.
结论
简单摘 要整篇论文的贡献及使用的技巧
此研究对该领域有何启发
贡献有何处可扩展
WereyourresultsexpectedIfnot,whynot
Whatgeneralizationsorclaimsareyoumakingaboutyourresults
Doyourresultscontradictorsupportotherexperimentalresults
Dotheysuggestotherobservationsorexperimentswhichcouldbedonetoconfirm,refute,orextendyourresults
Doyourresultssupportorcontradictexistingtheory
DoyourresultssuggestthatmodificationsorextensionsneedtobemadetoexistingtheoryWhatarethey
Couldyourresultsleadtoanypracticalapplications
Stresshowtheresultsinthisstudyconfirmyourengineering/Scientificmotivations(specificandgeneral)and,ultimately,yourreader'sinterests(i.e.Engineering/Scientificneed).
【范例】
Wehavepresentedaneffici
论文类有关论文例文
参考文献(References)
【范例】
References:
G.BanderaandE.L.
论文类有关论文例文,与写文河北,写文成人相关论文查重软件参考文献资料: