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t-upcostTuandtransmissioncostTt.Lettheunittransmissiontime(denotethecostoftransferringamessageofunitlength.ThetotalnumberofmunicationstepsisdenotedbyC.TotalredistributiontimeequalsTi+Ts+,where等于Max{d1,d2,d3,..,dk}anddjrepresentsthesizeofmessagescheduledinithmunicationstepforj等于1tok.

Previousresultsfocusonreducingtheformerthreecosts(i.e.,Ti,Ts,andTu).Inirregularredistribution,messagesofvaryingsizesarescheduledinthesamemunicationstep.Therefore,thelargestsizeofmessageinthesamemunicationstepdominatesthedatatransfertimerequiredforthismunicationstep.

1.3此问题期望如何被解决:如降低演算法的时间复杂度或减少电源的耗费等尽可能利用量化说明.

【范例】

Basedonthefact,thisworkpresentsanefficientalgorithmtopartitionlargemessagesintomultiplesmallonesandschedulesthembyusingtheminimumnumberofstepswithoutmunicationcontentionand,indoingso,reducingtheoverallredistributiontime.

1.4.说明研究动机:如果此问题没被解决或是充分了解,会有多大的负面的问题明确地直接地说明本研究的目标.

1.6.您的研究将利用何种技巧达成预期的成果.

【范例】

Specifically,theminimumvalueofTs,andCarederived,alongwiththevalueofmireducedbyshorteningtherequiredmunicationtimeforeachmunicationstep.

1.7.说明预期的结果.

1.8预期此研究对整个领域的贡献(广度)

【范例】

Whenthenumberofprocessorsorthemaximumdegreeoftheredistributiongraphincreasesortheselectedsizeofmessagesismedium,theproposedalgorithmcansignificantlyreducestheoverallredistributiontimeto52%.Moreover,theproposedalgorithmcanbeappliedtoarbitrarydataredistributionwhileslightlyincreasingthemunicationschedulingtime.

紧接着是整篇论文的大纲:

【范例】

Therestofthepaperisanizedasfollows.Section2presentsnecessarydefinitionsandnotations.Next,Section3describesthebasicgraphmodelalongwithrelatedwork.ThemaincontributionofthepaperisshowninSection4.WealsoconductsimulationsinSection5todemonstratethemeritsofouralgorithm.Finally,Section6concludesthepaper.

2.前人成果介绍(survey)[16,18]Routingisanimprovementtothetable-drivenanddistance-vectorbasedDSDValgorithm.WithDSDV(Destination-SequencedDistance-Vector)Routing[17],everymobilenodemaintainsaroutingtablerecordingallthepossibledestinationsandnumberofhopstoeachdestination.Inordertomaintainroutingtableconsistency,itrequiresnodestoperiodicallybroadcastroutingupdatesthroughoutthework.

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【范例二】

Techniquesforregulararrayredistributioncanbeclassifiedintotwogroups:themunicationsetsidentificationandmunicationoptimizations.TheformerincludesthePITFALLS[17]andtheScaLAPACK[16]methodsforindexsetsgeneration.Parketal.[14]devisedalgorithmsforBLOCK-CYCLICdataredistributionbetweenprocessorsets.Dongarraetal.[15]proposedalgorithmicredistributionmethodsforBLOCK-CYCLICdepositions.Zapataetal.[1]designedparallelsparseredistributioncodeforBLOCK-CYCLICdataredistributionbasedonCRSstructure.Also,theGeneralizedBasic-CycleCalculationmethodwaspresentedin[3].Techniquesformunicationoptimizationsprovidedifferentapproachestoreducethemunicationoverheadsinaredistributionoperation.

3.定义或背景(notationsanddefinitions)

【范例】

AnydataredistributioncanberepresentedbyabipartitegraphG等于(S,T,E),calledaredistributiongraph.WhereSdenotessourceprocessorset,Tdenotesdestinationprocessorset,andeachedgedenotesamessagerequiredtobesent.Forexample,aBlock-Cyclic(x)toBlock-Cyclic(y)dataredistributionfromPprocessorstoQprocessors(denotedbyBC(x,y,P,Q))canbemodeledbyabipartitegraphGBC(x,y,P,Q)等于(S,T,E)whereS等于{s0,s1,等,s(s(-1}(T等于{t0,t1,等,t(t(-1})denotesthesourceprocessorset{p0,p1,等,p(s(-1}(destinationprocessorset{p0,p1,等,p(t(-1})andwehave(si,tj)(Ewithweightwifsourceprocessorpihastosendtheamountofwdataelementstodestinationprocessorpj.Forsimplicity,weuseBC(x,y,P)todenoteBC(x,y,P,P).

4.主要成果(mainresults)ccordingly,foragivendataredistributionproblem,aconflict-freeschedulingwiththeminimumnumberofmunicationstepscanbeobtainedbycoloringtheedgesofthecorrespondingredistributiongraphG.WhenGisbipartite,itiswellknownthat(((G)等于((G)[22].Asaresult,theminimumnumberofrequiredmunicationstepsequalsthemaximumdegree(ofthegivendistributiongraphG.

Previousworkisequivalenttofindingoutanedgecolorings{E1,E2,E3,等,E(}ofGsothat(i.e.,thedatatransfertime)canbedecreased.Tothebestofourknowledge,itisstillopentodeviseanefficientalgorithmtominimizebothoftheoverallredistributiontimeandmunicationsteps.

Unlikeexistingalgorithms,themainideabehindourworkistopartitionlargedatasegmentsintomultiplesmalldatasegmentsandproperlyschedulethemindifferentmunicationstepswithoutincreasingthenumberoftotalmunicationsteps.

4.2Anexample

【范例】

Forexample,Figure6depictsaredistribu

1 2 3 4

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