简介:Abriefsummaryonandcomprehensiveunderstandingoffuzzyoptimizationispresented.Thissummaryismadeonaspectsoffuzzymodellingandfuzzyoptimization,classificationandformulationforthefuzzyoptimizationproblems,modelsandmethods.Theimportanceofinterpretationoftheproblemandformulationoftheoptimalsolutioninfuzzysenseareemphasizedinthesummaryofthefuzzyoptimization.
简介:ROW-ACTIONMETHODSFORCONVEXQUADRATICPROGRAMMINGGUOTiande(MathematicsDepartmentofQufuNormalUniversity,Qufu,Shandong273165,China...
简介:AniterativemethodofDeJong,GreigandMadan(1985)forobtainingmaximumlikelihoodestimatesforcontingencytablesderivedfromaMover-Stayermodelisconsidered.Itisshownthatthismethodworksforothersamplingschemesleadingtoincompletecontingencytables.Moreover,compar-isonsindicatethatthemethodisveryfast.
简介:TheAnalyticHierarchyProcessisapowerfultechniqueforgroupdecisionmaking.BoththeWeightedArithmeticMeanMethod(WAMM)andWeightedGeometricMeanMethod(WGMM)arethemostcommongrouppreferenceaggregationmethodsinAHP.InordertousetheWAMMandWGMM,onehastofindtheweightstobeassignedtothemembersofthegroup.Thisisoftenadifficulttask,especiallysoifthegroupislargeasinthecaseofpublicpolicydecisions.Thesesituationsneedanobjectivemethodtoderivemembers'weights.Butafewstudiesareavailableintheliterature.Basedonjudgementmatricesanderroranalyses,thispaperpresentstwopracticalandefficientmethodsforaddressingsuchsituations.Somenumericalexamplesarealsogiven.
简介:Wedeveloptheinterpolatedfiniteelementmethodtosolvesecond-orderhy-perbolicequations.Thestandardlinearfiniteelementsolutionisusedtogenerateanewsolutionbyquadraticinterpolationoveradjacentelements.Weprovethatthisinterpo-latedfiniteelementsolutionhassuperconvergence.Thismethodcaneasilybeappliedtogeneratingmoreaccurategradienteitherlocallyorglobally,dependingontheapplications.Thismethodisalsocompletelyvectorizableandparallelizabletotaketheadvantagesofmoderncomputerstructures.Severalnumericalexamplesarepresentedtoconfirmourtheoreticalanalysis.
简介:Forthetransientbehaviorofasemiconductordevice,themodifiedmethodofcharacteristicswithalternating-directionfiniteelementproceduresfornonrectangularregionisputforward.Sometechniques,suchascalculusofvariations,isoparametrictransformation,patchapproximation,operator-splitting,characteristicmethod,symmetricalreflection,energymethod,negativenormestimateandapriorestimatesandtechniques,areemployed.Inthenonrectangularregioncase,optimalorderestimatesinL^2normarederivedfortheerrorintheapproximationsolution.Thusthewell-knowntheoreticalproblemhasbeenthoroughlyandcompletelysolved.
简介:Thispaperstudiesafamilyofthelocalconvergenceoftheimprovedsecantmethodsforsolvingthenonlinearequalityconstrainedoptimizationsubjecttoboundsonvariables.TheHessianoftheLagrangianisapproximatedusingtheDFPortheBFGSsecantupdates.Theimprovedsecantmethodsareusedtogenerateasearchdirection.Combiningwithasuitablestepsize,eachiterateswitchestotrialstepofstrictinteriorfeasibility.WhentheHessianisonlypositivedefiniteinanaffinenullsubspace,oneshowsthatthealgorithmsgeneratethesequencesconvergingq-linearlyandtwo-stepq-superlinearly.Furthermore,undersomesuitableassumptions,somesequencesgeneratedbythealgorithmsconvergelocallyone-stepq-superlinearly.Finally,somenumericalresultsarepresentedtoillustratetheeffectivenessoftheproposedalgorithms.
简介:摘要本文利用地面观测资料、高空探测资料以及NCEP再分析资料等,对2016年6月28日重庆市綦江区的暴雨过程进行分析。结果表明此次暴雨天气具备持续时间长、影响范围广以及造成的危害性特别大的特点。綦江区2016年6月28日主要呈2槽1脊型,有一大槽主要分布在内蒙古——华北——重庆一带。暴雨过程主要是在500hPa高空槽和中低层区域的西南急流的共同影响下形成的。綦江区较为强盛的西南气流,同时处在西南急流出口区域的前方区域,为暴雨过程的发生发展提供较好的条件。綦江区处在水汽通量附近,为綦江区暴雨过程的发生提供了有利的水汽条件。綦江区在6月28日的K指数特别大,非常有利于暴雨过程的形成。