简介:Letφbeanormalfunctionon[0,1]andA~1(φ)theBergmanspacewithweightφ(|z|)/(1-|z|~2).AnatomicdecompositiontheoremforA~1(φ)isobtained,andanecessaryandnearly-sufficientconditionisgiventomakeasequenceofpointsinterpolateforA~1(φ).
简介:在这篇论文,我们与工作假期和假期打断学习M/M/1队列。工作假期最近被介绍,在哪个期间服务者能仍然以更低的率在原来的进行中的工作上提供服务。同时,我们介绍一个新policy:the服务器罐头一旦系统的一些索引例如顾客的数字,在假期时期完成某个值,从假期回到正常工作水平。没有完成假期,服务者可以从假期回来。如此的政策被称为假期打断。我们连接提及的上面二条政策并且假设如果在假期时期期间在在服务结束以后的系统有顾客,服务器将回到正常工作水平,嗨伪出生和死亡过程和矩阵几何的解决方案方法称为,我们为顾客和等待的时间的数字获得分布和随机的分解结构并且提供系统的一些索引。
简介:WestudyanM/PH/1queuewithphasetypeworkingvacationandvacationinterruptionwherethevacationtimefollowsaphasetypedistribution.Theserverservesthecustomersatalowerrateinavacationperiod.Theservercomesbacktotheregularbusyperiodataservicecompletionwithoutcompletingthevacation.Suchpolicyiscalledvacationinterruption.Intermsofquasibirthanddeathprocessandmatrix-geometricsolutionmethod,weobtainthestationaryqueuelengthdistribution.Moreoverweobtaintheconditionalstochasticdecompositionstructuresofqueuelengthandwaitingtimewhentheservicetimedistributionintheregularbusyperiodisexponential.
简介:Althoughthegreyforecastingmodelhasbeensuccessfullyadoptedinvariousfieldsanddemonstratedpromisingresults,theliteraturesshowitsperformancecouldbefurtherimproved,suchasfortheDGM(1,1)model,basedonaconcavesequence,themodelingerrorwillbelarger.Inthispaper,firstlythedefinitionofsequenceconvexityisgivenout,anditisprovedthattheoutputsequenceofDGM(1,1)modelisaconvexsequence.Next,theresidualchangelawofDGM(1,1)modelbasedontheconcavesequenceisdiscussed,andthenon-equidistanceDGM(1,1)modelisproposed.Finally,byintroducingthesymmetrytransformation,aconcavesequenceistransformedintoaconvexsequence,calledthesymmetricsequenceoftheconcavesequence,andthenconstructthenon-equidistanceDGM(1,1)modelbasedontheconvexsequence.Theexampleresultsshowthatthenovelmethodismoreaccuratethanthedirectmodelingforaconcavesequence.
简介:Inthispaper,westudytheexistenceof0-1universalminimaltotaldominatingfunctionsinagraph.Weestablishaformulationoflinearinequalitiestocharacterizeuniversalminimaltotaldominatingfunctionsandshowthatforakindofgraphswhoseadjacentmatricesarebalanced,theexistenceofuniversalminimaltotaldominatingfunctionscoincideswiththatof0-1ones.Itisalsoprovedthatforgeneralgraphs,theproblemoftestingtheexistenceof0-1universalminimaltotaldominatingfunctionsisNP-hard.
简介:Inthispaper,weanalyzeabulkinputM[X]/M/1queuewithmultipleworkingvacations.Aquasiuppertriangletransitionprobabilitymatrixoftwo-dimensionalMarkovchaininthismodelisobtained,andwiththematrixanalysismethod,highlycomplicatedprobabilitygeneratingfunction(PGF)ofthestationaryqueuelengthisfirstlyderived,fromwhichwegotthestochasticdecompositionresultforthestationaryqueuelengthwhichindicatestheevidentrelationshipwiththatoftheclassicalM[X]/M/1queuewithoutvacation.ItisimportantthatwefindtheupperandthelowerboundsofthestationarywaitingtimeintheLaplacetransformorderusingthepropertiesoftheconditionalErlangdistribution.Furthermore,wegainthemeanqueuelengthandtheupperandthelowerboundsofthemeanwaitingtime.
简介:IntheexistingliteratureofRepairableQueueingSystems(RQS),i.e.,queueingsystemswithserverbreakdowns,itisalmostallassumedthatinterarrivaltimesofsuccessivecustomersareindependent,identicallyexponentiallydistributed.Inthispaper,wedealwithmoregenericsystemGI/PH/1withserver'sexponentialuptimeandphase-typerepairtime.Withmatrixanalysistheory,weestablishtheequilibriumconditionandthecharacteristicsofthesystem,derivethetransientandstationaryavailabilitybehaviorofthesystem.