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200322:100026788(2003)02200912041,2,3(1.,,130022;2.,,130022;3.,,130022):,,,,L:;;:TH165;O213.1:AStatisticalQualityControlOrientedtoFlexibleManufacturingSystemYANGXiao2hui1,2.SONGShi2long2,GUDe2yi3(ChangchunUniversityofScienceandTechnology,Changchun130022,China;2.ChangchunTrainingCollege,Agricul2tureBankofChina,Changchun130022,China;3.JilinBranch,NortheastExpresswayCo.Ltd,Changchun130022,Chi2na)Abstract:Highflexible,highautomaticmanufacturingsystembasedonsmallbatchproductionisthetrendinfuture.Thepaperanalyzesthetraditionalcontrolchartshortcomingandproposesanewindi2vidualcontrolchartthatthecontrollimitsischangeableregardlessofthenumberofobservations.Thecontrolchartcouldnotonlybeusedinsmallbatchproductionbutalsousedinlargebatchproduction.Keywords:flexiblemanufacturingsystem;quality;controlchart:2000207207:95(18.3.1.1):(1963-),,,,:,1,,,,CIMS,FMS(Leanproduction)(AgileManufacturing),,L,,,,L,(SPC)L2xi(i=1k)N(L,R2),L,R,Rv(2),UCL=xqk+3Rv(2)d2(2)=xqk+2.66Rv(2)©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.LCL=xqk+3Rv(2)d2(2)=xqk-2.66Rv(2)xqkk,xqk=1k6ki=1xi,Rv(2)n=2Ri(2),Rv(2)=1m6mi=1Ri(2)=1m6mi=1ûxi-xi-1û,k=2md2(2)Rv(2),Rv(2)d2(2)R,ERv(2)d2(2)=Rxk+1xi,H0:L=L0,A,xk+1D=[xqk-2.66Rv(2),xqk+2.66Rv(2)]1-A,Pr{xk+1DûL=L0}=1-A]Pr{xqk-2.66Rv(2)Fxk+1Fxqk+2.66Rv(2)}=1-A]Pr-2.66Fxk+1-xqkRv(2)F2.66=1-A(1)xk+1xqk,xk+1N(L,R2),xqkNL,R2kxk+1-xqkN0,1+1kR2Patnaik[1],CRv2C2R2V2(C)(V2(C)CV2),C2x2(C)CRvR2,C,Cmn,,,C,C[2]Zm=k,n=2,xk+1-xqkRv(2)N(0,1),V2,xk+1-xqk1+1kRN(0.1),Rv(2)CR2x2(C)Cxk+1-xqk1+1kRRv(2)CRt(C)(1)Pr-2.66C1+1kF(xk+1-xqk)ö1+1kRRv(2)öCõRF2.66C1+1k=1-A(2)tA2(C)=2.66C1+1k(3)CtA2(C),,[3]Z(2)Pr-2.66C1+1kFt(C)F2.66C1+1k=1-Ak,[2]C,C,(3)2.66C1+1k,t2920032©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.A,1kA.1Ak4681020406080100150A0.2660.1070.0660.0440.0160.0080.0060.00560.00510.00430.00271,,Z,AZk,AA=0.0027Z,,,,,,Z3A,,,B:UCL=xqk+BõMRd2,LCL=xqk-BõMRd2(4)MR=1m6ki=2ûxi-xi-1û.A,xk+1D=[LCL,UCL]Pr{LCLFxk+1FUCL}=1-A]Prxqk-BõMRd2Fxk-1Fxqk+BMRd2=1-A]Pr-BFxk-1-xqkMRöd2FB=1-A(5)MRöd2,KitCBRoes[3],:VR,W=VRSx(v)öv,S=D(w+1),v=121+1D(w)GammerZMR,V=MRd2,W=VR=MRd2R.ûxt-xt-1û,MR,CryerRyan[4]MRD(MR)=d22õ2(k-1)2(k-1)1-2P+(k-2)4P32+P12-1R2d22(0.8264k-1.082)(k-1)2õR2d2n,D(w)=1(d2R)2õD(MR)=1(d2R)2õd22õ(0.8264k-1.082)(k-1)2õR2=0.8264k-1.082(k-1)2S=D(W)+1=0.8264k-1.082(k-1)2+1v=121+(k-1)20.8264k-1.082(6)MRd2RSx(v)öv,S,v(6),xk-1xqk,xk+1-xqkN(L,(1+1k)R2)392©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.xk+1-xqk1+1kRvMRSd2Rvt(v),S1+1kxk+1-xqkMRöd2t(v),(5)Pr-BõS1+1kFS1+1kõxk+1-xqkMRöd2FBõS1+1k=1-A]Pr-BõS1+1kFt(v)FBõS1+1k=1-A]tA2(v)=BS1+1k]B=1S1+1kõtA2(v)(7)(7),S,vk,,BkZ2A=0.0027,kBZ2Bk5101520305080150500B9.144.934.013.713.523.263.163.093.033.002,k,B,.k,B.kB3,Z,Z4,,,,,L:[1]PatnaikPB.Theuseofmeanrangeasanestimatorofvarianceinstatisticaltest[J].Bionmetrika,1970,37:78-87.[2].[M].:,19741[3]KitCBRose.Shewhart2typecontrolchartsforindividualobservations[J].StatisticaNeerlandica,1995,49:83-87.[4]CryerJD,RyanTP.TheestimationofsigmaforanxChart:MRöd2orSöc4?[J].JournalofQualityTechnology,1990,15(1):61-72.[5]CharlesPQ.SPCQchartsforstart2upprocessesandshortorlongruns[J].JofQualityTech,1991,23(3):119-126.4920032©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.