简介:Inthispaperexhaustive-servicepriority-M/G/1queueingsystemswithmultiplevacations,singlevacationandsetuptimesarestudiedunderthenonpreemptiveandpreemptiveresumeprioritydisciplines.Foreachofthesixmodelsanalysed,theLapLace-StieltjestransformofthevirtualwaitingtimeWκ(t)attimetofclasskisderivedbythemethodofcollectivemarks.AsufficientconditionforWκ(t)/√ακdd↑→|U|,whereUhasthestandardnormaldistribution,isalsogiven.
简介:同学们:展示在你们面前的这本书是以华东师范大学版数学实验教材(七年级上)为兰本,按照数学新课程改革的新精神和新要求编写的同步学习用书.这本书将致力于突出数学新课程的基本理念,力求体现学生是学习主人的新课程学习特色,以崭新的内容和新颖的编排向你们展示出一幅幅精美的数学画面,一个个丰富多彩的数学活动,一串串生动有趣的数学问题.它将陪伴你们去观察、实验、探索、推理、交流和议练,在学习过程中获取现实的、有意义的、富有挑战性的数学知识;它将让你在动手实践、自主探索、合作交流、师生互动的学习活动中,更有效地学习数学、理解数学、掌握数学。
简介:给出了极小拟5连通图及围长大于或者等于4的极小拟(k+1)连通图的最小度.
简介:Let(.theMuckenhouptclass).Inthispaper,theauthorintroducetheweightedHerz-typeHardyspaces(w2)andpresenttheiratomicdecomposition.Usingtheatomicdecomposition,theauthorfindouttheirdualspaces,establishtheboundednessonthesespacesofthepseudo-differentialoperatorsoforderzeroandshowthat,theclassofC(Rn)-functionswithcompactlysupport,isdenseinandthereisasubsequence,whichconvergesindistrbutionalsensetosomedistributionof,ofanyboundedsequenceinInaddition,theauthoralsosetuptheboundednessofsomenon-linearquantitiesincompensatedcompactness.
简介:首先运用Phillips定理和Fattorini定理证明M/Mk,B/1排队模型概率瞬态解的存在唯一性,然后通过研究对应于M/Mk,B/1排队模型的主算子的共轭算子的豫解集得到该主算子的豫解集:在虚轴上除了零点外其它所有点都属于该主算子的豫解集.
简介:InthispaperwestudythetheoreticalpropertiesofmultigridalgorithmfordiscretizationofthePoissonequationin2Dusingamortarelementmethodundertheassumptionthatthetriangulationsoneverysubdomainareuniform.WeprovetheconvergenceoftheW-cyclewithasufficientlylargenumberofsmoothingsteps.ThevariableV-cyclemultigridpreconditionerarealsoavailable.
简介:讨论了具有热储备和两个独立相同部件的平行系统在由常规错误引起失效下的渐进稳定性.首先,利用Banach空间的Volttera算子方程得到了非负动态解的存在唯一性;然后,利用强连续线性算子半群理论证明了系统正的动态解的存在唯一性,而由于初始值不在定义域内,故得到的是mild解.但在t>0时系统古典解存在唯一,所以此时mild解即为古典解.最后,利用线性算子半群稳定性的结果,证明了该动态解在范数意义下收敛到稳态解,进而得到了系统的渐进稳定性.
简介:<正>Foranoddfunctionf(x)definedonlyonafiniteinterval,thispaperdealswiththeexistenceofperiodicsolutionsandthenumberofsimpleperiodicsolutionsofthedifferentialdelayequation(DDE)(?)(t)=-f(x(t-1)).Byuseofthemethodofqualitativeanalysiscombinedwiththeconstructingofspecialsolutionsaseriesofinterestingresultsareobtainedontheseproblems.
简介:BystudyingthespectralpropertiesoftheunderlyingoperatorcorrespondingtotheM/G/1queueingmodelwithoptionalsecondserviceweobtainthatthetime-dependentsolutionofthemodelstronglyconvergestoitssteady-statesolution.Wealsoshowthatthetime-dependentqueueingsizeatthedeparturepointconvergestothecorrespondingsteadystatequeueingsizeatthedeparturepoint.
简介:在Tikhonov正则化方法的基础上将其转化为一类l1极小化问题进行求解,并基于Bregman迭代正则化构建了Bregman迭代算法,实现了l1极小化问题的快速求解.数值实验结果表明,Bregman迭代算法在快速求解算子方程的同时,有着比最小二乘法和Tikhonov正则化方法更高的求解精度.