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2011338AutomotiveEngineering2011Vol．33No．82011149**“”71075005。2010102720101224。410082、。、。AStudyontheWeldingQualityControlofVehicleBodyBasedonModifiedCUSUMControlChartLiuJianLiJing＆LiRongHunanUniversityStateKeyLaboratoryofAdvancedDesignandManufacturingforVehicleBodyChangsha410082AbstractInviewoftheheavyworkloadandextremelysmallsamplesizeinvehiclebodyweldingqualityinspectionavariance-basedmodifiedcumulativesumCUSUMcontrolchartmethodformonitoringvariancefluc-tuationofbodyweldingqualityisproposedtoachieveeffectivecontrolofbodyweldingquality．TheresultsofarealcaseverificationshowthatcomparedwiththemethodsofconventionalCUSUMcontrolchartexponentiallyweightedmovingaverageEWMAcontrolchartandweightedCUSUMcontrolchartthemethodofmodifiedCUSUMcontrolchartismoreeffectiveandsensitivetoprocessvariancedeviationmoreconducivetotimelydiscoveryofqualityis-sues．KeywordsvehiclebodyweldingqualitycontrolmodifiedCUSUMcontrolchartvariance40%～60%、。、、、。。1。———、。。CUSUMEWMA2011Vol．33No．8·729·2－3。456EWMA。。6。lnS2t/σ20S2tσ^20。lnS2t/σ20。、。11.1tmnXiji=12…mj=12…nXij～Nμ0σ20μ0σ20。Ct=max0Ct－1+Xij－kkCtH7－9。。μ^0=1mn∑mi=1∑nj=1Xij1σ^20=1mn－1∑mi=1∑nj=1Xij－Xi22Xi=1n∑nj=1Xij3。δttδt=μ－μ0μ。EWMAδt6δt=maxδmin1－λδt－1+λXij4δ0=0λ0＜λ≤1δmin。Zt=max0Zt－1+Xt－δt/2hδt{}/25Z0=0h。Zt＞h。hk10hk≈ln1+2k2LAR0+2.332k2k－1.1666LAR0LAR。。1.2μ0。。t＜τσ2t=σ20t＞τσ2t≠σ20δt=σt/σ0Tt=lnS2t/σ^207σ^20S2tS2t=1n－1∑nj=1Xij－Xi28·730·2011338Xi=1n∑nj=1Xij9S2t/σ^20α=n－12β=2δ2tn－1ΓTt=lnS2t/σ^20μTσ2TμT≈lnδ2t－1n－1－13n－12+215n－1210σ2T≈2n－1+2n－22+43n－12－1615n－15111011TtσTnσtσtTt。lnS2t/σ20Zt=max0Zt－1+Tt－δt/2hδt{}/212t=12…nTt=lnS2t/σ^2013δt=maxδmin1－λδt－1+λXij14Z0=0c。Zt＞c。1.3lnS2t/σ20δmin、λc。λλλ。λ0.10.2…0.9。11λ≤0.25λ0.10.2。δminδ≥δminδ≤δmin。δminδmin＜0.1。δmin0.25、0.5、0.751.0。LAR0δminLARδmin12。cLAR0。2、Nμ0σ20。3t400～500。3。Ax1。1AAX201。123。23161414。12μ^0=1.245σ^20=0.0582。2011Vol．33No．8·731·1Amm12311.121.340.7821.821.131.2431.241.561.7840.801.121.3451.421.181.2560.971.121.3471.341.521.3481.211.251.2791.201.181.23100.701.501.21111.211.321.40121.181.311.25131.400.980.88140.421.780.80151.121.241.18163.402.453.08172.783.053.90183.342.982.71191.891.121.45201.912.722.252lnS2t/σ20。1LAR0=370.4Z0=0δ0=1。2λhδmin=0.5λ=0.111c=1.170。3312～14Zt4。4、4。Ct=max0Ct－1+Tt－k13k=0.25H=6。·732·2011338Zt=maxγTt+1－γZt－1014γ=0.147D=1.211。At=max0At－1+Wt－kAWt=λS2t+1－λXt－μ02S2tXtμ0kA。8kA=0.03989HA=0.07822。4161614141111。、、。3、。、、。1．SPC/SPDJ．20043464－8．2．J．2002176547－550．3．J．200543369－71．4FuJamesCSpiringFredAXieHansheng．OntheAverageRunLengthsofQualityControlSchemesUsingaMarkovChainAp-proachJ．Statistics＆ProbabilityLetters2002564369－380．5WuZTianY．Weighted-loss-functionCUSUMChartforMonito-ringMeanandVarianceofaProductionProcessJ．InternationalJournalofProductionResearch2005433027－3044．6SparksRS．CUSUMChartsforSignalingVaryingLocationShiftsJ．JournalofQualityTechnology2000322135－147．7BassevilleMNikiforovIV．DetectionofAbruptChangesTheoryandApplicationM．PrencticeHallNewJersey．1993．8．CUSUMM．199090－128．9ChangeSILinSY．AComparativeStudyandDesignofEWMAControlChartforMonitoringProcessVariationsinShortRunPro-ductionsJ．InternationalJournalofIndustrialEngineering199634268－278．10ShuLJiangW．AMarkovChainModelfortheAdaptiveCUSUMControlChartJ．JournalofQualityTechnology2006382135－147．11LucasJMSaccucciMS．ExponentiallyWeightedMovingAver-ageControlSchemesJ．Technometrics1982243199－205．12GrabovPIngmanD．AnAdaptiveControlLimitsforBivariateProcessMonitoringJ．JournalofQualityTechnology1996284320－330．13ShuLianjieJiangWei．AdaptiveCUSUMProcedureswithMark-ovianMeanEstimationJ．ComputationalStatisticsandDataA-nalysis2008524395－4409．14PetrosEMaravelakisPhilippeCastagliola．AnEWMAChartforMonitoringtheProcessStandardDeviationwhenParametersAreEstimatedJ．ComputationalStatisticsandDataAnalysis2009532653－2664．