简介:ThispaperstudiestheoperatingcharacteristicsofanM/G/1queuingsystemwitharandomizedcontrolpolicyandatmostJvacations.Afterallthecustomersareservedinthequeueexhaustively,theserverimmediatelytakesatmostJvacationsrepeatedlyuntilatleastNcustomersarewaitingforserviceinthequeueuponreturningfromavacation.IfthenumberofarrivalsdoesnotreachNbytheendoftheJ~(th)vacation,theserverremainsidleinthesystemuntilthenumberofarrivalsinthequeuereachesN.IfthenumberofcustomersinthequeueisexactlyaccumulatedNsincetheserverremainsidleorreturnsfromvacation,theserverisactivatedforserviceswithprobabilitypanddeactivatedwithprobability(1-p).Forsuchvariantvacationmodel,otherimportantsystemcharacteristicsarederived,suchastheexpectednumberofcustomers,theexpectedlengthofthebusyandidleperiod,andetc.Followingtheconstructionoftheexpectedcostfunctionperunittime,anefficientandfastprocedureisdevelopedforsearchingthejointoptimumthresholds(N~*,J~*)thatminimizethecostfunction.Somenumericalexamplesarealsopresented.
简介:LetFbeafieldofcharacteristiczero.Wn=F[t(+1/2),t(+1/2),...,t(+1/n)]δ/δt1+...+F[t(+1/2),t(+1/2),...,t(+1/n)]δ/δtnistheWittalgebraoverF,Wn+=F[t1,t2...,tn]δ/δt+...+F[t1,t2...,tn]δ/δtnisLieshbalgebraofWn.ItiswellknownbothWnandWn+aresimpleinfinitedimensionalLiealgebra.InZhao'spaper,itwasconjecturedthatEnd(Wn^+)-{0}=Aut(Wn^+)anditwasprovedthatthevalidityofthisconjectureimpliesthevalidityofthewell-knownJacobianconjecture.Inthisshortnote,wechecktheconjectureaboveforn=1.WeshowEnd(W1^+)-{0}=Aut(W1^+).
简介:这份报纸表明D不变的多项式subspaces的二个班的等价,即,subspaces的这二个班是宽度一个的不同代表D不变的subspace。而且,作者为宽度一个在理想的插值解决分离近似问题D不变的subspace。也就是,作者发现点以便在这些点的评估functionals的限制空间是给定的D不变的subspace导致的功能的空间,当评估点都在一个点联合。
简介:Earlyin1904,Hadamard[1]showedthescaleimplicitfunctiontheoremoffinitedimensions.Thenitwasgeneralizedtoinfinitedimensions.Inthispaperanewproofofthistheoremisgivenandtheuniqueexistenceoftheperiodicsolutionforaclassofordinarydifferentialequationsystemsatresonanceisobtained.
简介:摘要本文介绍了D3-Edit及Dauric2.43系统环境,并详细阐述了D3-Edit及Dauric2.43系统在电视天气预报制作的实现及解决方法等内容进行论述。