简介:Letφbeanormalfunctionon[0,1]andA~1(φ)theBergmanspacewithweightφ(|z|)/(1-|z|~2).AnatomicdecompositiontheoremforA~1(φ)isobtained,andanecessaryandnearly-sufficientconditionisgiventomakeasequenceofpointsinterpolateforA~1(φ).
简介:跨长度和跨层次现象以及相应的多尺度耦合反映物质世界的基本性质及多学科交叉的内禀特征,具有极其丰富的科学内涵。集量子力学、原子学模拟、粗粒化技术、准连续描述以及有限元等多层次模拟为一体的统一表述和运作在萌芽和发展之中,目标为洞察物性本质,实现材料结构设计及物性预报。多尺度模型哈密顿表述及约束条件和相关准则的设定以及发展相应算法是其核心问题。本文简要介绍了材料科学中多尺度一多层次耦合中的基本问题,给出多尺度分析方法的一般描述;同时概述相关的处理方案。关于多尺度模型及相关分析计算,着重阐述了参量解析传递模式以及跨层次协同算法,介绍了作者的基本思想,理论计算框架,相关解析表式及部分计算结果。
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.