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.
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简介:摘要2016年8月1~3日呼伦贝尔市发生了罕见的高温天气。利用常规观测资料、再分析资料及数值预报等产品分析此次过程中的环流演变和要素场等对高温天气的影响,此次过程中(1)本次高温天气主要是受暖性高压影响,副热带高压北上与大陆暖性高压合并加强,且东南沿海有台风(妮妲)沿偏北路径在华南地区登陆起到了促进暖性高压北抬的作用,使其稳定控制我国广大的北方地区,有利于高温天气的发生。(2)当北方有冷空气南下或有降水时,可以有效地缓解高温天气。(3)地面负变压、低层的低湿以及强下沉气流有利于局地气温的升高。(4)高空稳定的湿度层结,不利于对流天气的发生,有利于温度的维持和升高。(5)在自动站的高空,风随高度顺转表明高空有暖平流,有利于气温的上升。
简介:Inthispaper,wegiveanorder-preserving,isometricandisomorphicembeddingoperatorfromthefuzzynumberspaceE~1toaclassicalBanachspaceandshowsomenecessaryandsufficientintegrabilityconditionsoffuzzyintegralswhichweredefinedbyM.MatlokaandO.Kalevabymeansofsuchanoperator.
简介:摘要利用祁连山区9站1960~2004年45年冬季最大冻土资料,分析了祁连山区冬季冻土的时间变化及影响因素,并对比分析了冻土深年和冻土浅年高空环流特征。结果表明祁连山区冬季最大冻土深度的年际变化呈现逐渐减小趋势,其减小速率为7.11cm/10a,可靠性通过了0.001信度检验;冻土深度与气温是呈反相关关系,冻土深度随气温的升高而减小,气温对祁连山区东部山区影响最为明显,其次是西部山区,影响最小的是中部山区;冻土深年,新疆脊较正常年份强,且偏西,高空气温较正常年份高,而OLR较正常年份强;冻土浅年,新疆脊较正常年份弱,气温较正常年份低,OLR较正常年份弱。
简介:Thispaperanalyzesafinite-bufferrenewalinputsingleserverdiscrete-timequeueingsystemwithmultipleworkingvacations.Theserverworksatadifferentrateratherthancompletelystoppingworkingduringthemultipleworkingvacations.Theservicetimesduringaserviceperiod,servicetimeduringavacationperiodandvacationtimesaregeometricallydistributed.ThequeueisanalyzedusingthesupplementaryvariableandtheimbeddedMarkov-chaintechniques.Weobtainsteady-statesystemlengthdistributionsatpre-arrival,arbitraryandoutsideobserver'sobservationepochs.Theanalysisofactualwaiting-timedistributionandsomeperformancemeasuresarecarriedout.Wepresentsomenumericalresultsanddiscussspecialcasesofthemodel.
简介:摘要本文利用地面观测资料、NCEP再分析资料、台站观测资料等对宁波2018年1月25-28日的一次降雪天气过程进行分析。结果表明宁波市的这次降雪天气出现在500hPa高空槽东移和低层切变线东伸的形势下,阻塞高压出现在中高纬贝加尔湖西部地区,贝加尔湖以东是宽广的槽区,中纬度有较为平直的西风气流存在且受孟加拉湾南支槽的影响较大,再加上来自北方的冷空气和南方的暖湿气流在宁波地区交汇,进一步触发了降雪天气的发生发展;这种高层辐散、中低层辐合的配置形式,对于上升运动的发展加强较为有利,同时与宁波市强降雪天气过程基本一致,与强降雪天气时段有很好的对应关系;降雪落区上空的暖平流叠加到冷平流上,800hPa以下是冷平流,而700~500hPa存在暖平流中心,是降雪天气继续维持的主要原因。
简介:EllipticPDE-constrainedoptimalcontrolproblemswithL^1-controlcost(L^1-EOCP)areconsidered.TosolveL^1-EOCP,theprimal-dualactiveset(PDAS)method,whichisaspecialsemismoothNewton(SSN)method,usedtobeapriority.However,ingeneralsolvingNewtonequationsisexpensive.Motivatedbythesuccessofalternatingdirectionmethodofmultipliers(ADMM),weconsiderextendingtheADMMtoL^1-EOCP.TodiscretizeL^1-EOCP,thepiecewiselinearfiniteelement(FE)isconsidered.However,differentfromthefinitedimensionalL^1-norm,thediscretizedL^1-normdoesnothaveadecoupledform.Toovercomethisdifficulty,aneffectiveapproachisutilizingnodalquadratureformulastoapproximatelydiscretizetheL^1-normandL^2-norm.Itisprovedthattheseapproximationstepswillnotchangetheorderoferrorestimates.Tosolvethediscretizedproblem,aninexactheterogeneousADMM(ihADMM)isproposed.DifferentfromtheclassicalADMM,theihADMMadoptstwodifferentweightedinnerproductstodefinetheaugmentedLagrangianfunctionintwosubproblems,respectively.Benefitingfromsuchdifferentweightedtechniques,twosubproblemsofihADMMcanbeefficientlyimplemented.Furthermore,theoreticalresultsontheglobalconvergenceaswellastheiterationcomplexityresultso(1/k)forihADMMaregiven.Inordertoobtainmoreaccuratesolution,atwo-phasestrategyisalsopresented,inwhichtheprimal-dualactiveset(PDAS)methodisusedasapostprocessoroftheihADMM.Numericalresultsnotonlyconfirmerrorestimates,butalsoshowthattheihADMMandthetwo-phasestrategyarehighlyefficient.
简介:我们与州依赖者的到达和一般服务分发学习一个单个服务者的排队系统,或简单地M(n)/G/1/K,在服务器跟随一条N政策并且当系统是空的时,度多重假期的地方。我们用增补可变技术提供一个递归的算法数字地计算系统的静止队列长度分发。唯一的输入要求是服务时间分发的Laplace-Stieltjes变换,假期时间分发,和州依赖者的到达评价。算法的Thecomputational复杂性是O(K~3)。
简介:在这篇论文,我们与州依赖者的服务学习一个排队系统andstate依赖的假期,或简单地G/M(n)/1/K。因为服务率是州依赖者的,这个系统作为特殊情况与车站假期的各种各样的类型包括G/M/c和G/M/c/K队列。我们用增补可变技术提供一个递归的算法数字地计算系统的静止队列长度分发。唯一的输入要求是theLaplace-Stieltjes变换内部到达分发以及州依赖者的服务率和州依赖者的假期率。在一份随后的同伴报纸,我们与州依赖者的假期学习它的双systemM(n)/G/1/K队列。
简介:Thispaperconsidersadiscrete-timeGeo/G/1queueinamulti-phaseserviceenvironment,wherethesystemissubjecttodisastrousbreakdowns,causingallpresentcustomerstoleavethesystemsimultaneously.Atafailureepoch,theserverabandonstheserviceandthesystemundergoesarepairperiod.Afterthesystemisrepaired,itjumpstooperativephaseiwithprobabilityqi,i=1,2···,n.Usingthesupplementaryvariabletechnique,weobtainthedistributionforthestationaryqueuelengthatthearbitraryepoch,whicharethenusedforthecomputationofotherperformancemeasures.Inaddition,wederivetheexpectedlengthofacycletime,thegeneratingfunctionofthesojourntimeofanarbitrarycustomer,andthegeneratingfunctionoftheserver’sworkingtimeinacycle.Wealsogivetherelationshipbetweenthediscrete-timequeueingsystemtoitscontinuous-timecounterpart.Finally,someexamplesandnumericalresultsarepresented.