简介:Inthispaperexhaustive-servicepriority-M/G/1queueingsystemswithmultiplevacations,singlevacationandsetuptimesarestudiedunderthenonpreemptiveandpreemptiveresumeprioritydisciplines.Foreachofthesixmodelsanalysed,theLapLace-StieltjestransformofthevirtualwaitingtimeWκ(t)attimetofclasskisderivedbythemethodofcollectivemarks.AsufficientconditionforWκ(t)/√ακdd↑→|U|,whereUhasthestandardnormaldistribution,isalsogiven.
简介:BystudyingthespectralpropertiesoftheunderlyingoperatorcorrespondingtotheM/G/1queueingmodelwithoptionalsecondserviceweobtainthatthetime-dependentsolutionofthemodelstronglyconvergestoitssteady-statesolution.Wealsoshowthatthetime-dependentqueueingsizeatthedeparturepointconvergestothecorrespondingsteadystatequeueingsizeatthedeparturepoint.
简介:TheenergyresponsesofKaoftwotypesofcylindricalG-Mcountertubeswerecalculatedusinganelectron-photoncascadeMonteCarlocode,EGS4.OnetypeoftheG-McountertubeswasGJ4401(sensitivelength9cm,diameter1cm),theotherwasJ5(sensitivelength2cm,diameter0.3cm),therestrictedsamplingtechniqueofsourcephotonwasused.Goodtendencyagreementsbetweenthesimulationsandexperimentswereachievedforgammaradiationwithenergiesrangingfrom40keVto1.25MeV.ForGJ4401,thedifferenceofresponsebetweensimulationsandexperimentsat662keVwas34%andforJ5thedifferencewas27%.
简介:Two-dimensional(2D)graphitecarbonnitride(g-C3N4)nanosheetshavebeensuccessfullyusedasasaturableabsorber(SA)inapassivelyQ-switchedNd:LLFlaserat1.3μmforthefirsttime,tothebestofourknowledge.Underanincidentpumppowerof9.97W,theshortestpulsedurationof275nswasacquiredwithoutputpowerof0.96Wandpulserepetitionrateof154kHz,resultinginapulseenergyof6.2μJ.Inaddition,thesaturableabsorptionbehaviorsofzero-dimensional12nmg-C3N4nanoparticles(g-C3N4-NPs)andthree-dimensionalorderedmesoporousg-C3N4(mpg-C3N4)werealsoobserved,althoughtheirmorphologyandstructurewerequitedifferentfrom2Dg-C3N4.Theexperimentalresultsintroducethepotentialapplicationofg-C3N4nanomaterialsasSAsinQ-switchedlasers.
简介:逃逸时间算法是生成Mandelbrot集(简称M集)最常用的算法,本文针对非线性复映射f(z)=z^m+c为迭代函数的情形进行讨论.首先.根据逃逸时间算法的基本原理给出相应的算法步骤;然后,对迭代函数f(z)=z^m+c进行了详细研究,从而合理地确定了算法中需要控制的变量B(参数值c0的取值范围)的取值,这样就大大地减少了迭代次数,从而提高了算法的运算效率.
简介:Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpo-lationonthezerosoftheLaguerrepolynomialsLn(α)(x)(α≥-1)inamanageableformisestablished.Meanwhile,theexplicitrepresentationofthefundamentalpolynomials,whentheyexist,isgiven.Moreover,itisshownthat,iftheproblemof(0,1,…,m-2,TO)interpolationhasaninfinityofsolutions,thenthegeneralformofthesolutionsisf0(x)+Cf1(x)withanarbitraryconstantC.
简介:研究了以剩余寿命作为增补变量的M/G/1/K排队模型.利用泛函分析中线性算子半群的积分半群理论讨论了该模型的瞬态解的存在唯一性问题.