简介：在这份报纸，我们探索在从一个微分几何观点学习moduli问题是很有用的虚拟技术。我们介绍新目标鈥渧irtualmanifolds/orbifolds鈥的一个班吗？在哪个上我们开发集成理论。特别地，虚拟本地化公式被获得。关键词虚拟manifolds-本地化-Fredholm系统-第一写作的moduli空格先生(2000)题目分类57R99被一个NSF关键工程和973工程2006CB805900支持

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简介：Amachine,orothertypeof“system”,canoftenbedividedintoseveralsubsystems(components)andthesesubsystemsagaincanbedividedintosevreralsubsystems(secondgeneration).Thisprocessformsasystemtree.Toassessthereliabilityofthemachinebasedondatafromthetrialsofcomponentsofthemachine,virtualsystemmethodisemployed.ItisprovedinthepaperthatthelowerconfidentlimitofthereliabilityofthemachinesetbythevirtualsystemmethodislevelconsistentandasymptoticallyoptimalwhiletheonesetbyLindstrom-Maddensmethodisnot.

简介：

简介：Inthispaperexhaustive-servicepriority-M/G/1queueingsystemswithmultiplevacations,singlevacationandsetuptimesarestudiedunderthenonpreemptiveandpreemptiveresumeprioritydisciplines.Foreachofthesixmodelsanalysed,theLapLace-StieltjestransformofthevirtualwaitingtimeWκ(t)attimetofclasskisderivedbythemethodofcollectivemarks.AsufficientconditionforWκ(t)/√ακdd↑→|U|,whereUhasthestandardnormaldistribution,isalsogiven.