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.