SPCFY

2005-10-291StatisticalProcessControlStatisticalProcessControl2005-10-292SPC1SPC2SPC3SPC4SPC1234SPC1234561p2np3c4u123Xbar-R4Xbar-s5Xmed-R6X-Rm2005-10-293SPC1SPCSPC--StatisticalProcessControl(------2005-10-294SPC2SPC19243Sigma“”2005-10-295SPC3SPCSIXSIGMAISO9000TQMQCCSPCISO9000TQMQCCSPCTQMQCCSPCQCCSPC+brainstorming()SPC约现关键质2005-10-296SPC4SPC-----SPCTQM-SPC(-SPC2005-10-2971-1XIndividual˜xSpreadσsσP(StandardDeviation)σSigmaRangeµXbar2005-10-2981-2SpecialCauseVariationRunXProcessAverageCentralLine2005-10-2991-3CommonCauseMovingRange)Z(ProcessCapability)2005-10-29102-112005-10-29112-2100,2005-10-29122-3N=10011.2005-10-29132-41P(-1X+1)=68.27%2P(-2X+2)=95.45%3P(-3X+3)=99.73%2005-10-29142-5Cµ+2σµ+1σµ+3σBAAB2005-10-29152-6399.733100%99.73%=0.27%-3+30.27%/2=0.135%12005-10-29162-7(1)2005-10-29172-8(2)2005-10-29182-9(3)2122005-10-29192-10红实际态蓝规态2005-10-29203-1,Hildebrand&Ott2005-10-29213-2nn()n(n)2005-10-29223-3?2005-10-29233-42005-10-29244-1XUCLXbarXbarXbarXLCLXbarRUCLRRbarRRLCLRCaCp/PpCpkPpkPPMSigmasSigmaaSigmap2005-10-29254-2(Xbar)Xbar=(x1+x2+xn)/N(Me)(Mo)(R)R=Max-Min2005-10-29264-3(S)S=(X-X)2[V(X)]V(X)=S/n=(X-X)2/n()=V=S/n=(X-X)2/n2005-10-29274-4标计-sSigmaSpecs---3=USL–LSL6s---6=USL–LSL122005-10-29284-5-pSigmaPattern-aSigmaActualp=√Σ(Xi-Xbar)2n-1ni-1aRd22005-10-29294-6—CaCapacityofAccuracyCaABCDCa12.5%12.5%Ca25%25%Ca50%50%CaCa=L1/L2L1=XSLL2=(USL—LSL)/22005-10-29304-7—CaCaABACDCa2005-10-29314-8/-Cp(ProcessPotential)Cp6SIGMACpCp=USL-LSL6a()Cpu=USL-µ3a()Cpl=µ-LSL3a()CpABCD1.33Cp1.00Cp1.330.83Cp1.00Cp0.832005-10-29324-9/—CpCpABCDCp2005-10-29334-10—Cpk:CpkABC1.33Cpk1.0Cpk1.33Cpk1.0CpkCa(k)CpCa=0Cpk=CpCpkCpABC2005-10-29344-11—Cpk-Cpk=(Xbar)/3a(Xbar)/3a2005-10-29354-12—PpPp=USL-LSL6σp-PpCp2005-10-29364-13—PpkPreliminaryprocesscapabilityPpk=-Xbar3σpXbar-3σp()-PpkCpk2005-10-2937SPC1//2005-10-2938SPC2-1,2005-10-2939SPC2-22005-10-2940SPC315%85%2005-10-2941SPC4-1()()2005-10-2942SPC4-2()2005-10-2943SPC5PACDCADCADPP2005-10-2944SPC6-12005-10-2945SPC6-22005-10-2946UchartX-MRCchartXmed-RnPchartX-PchartX-R2005-10-2947nppp—X-MR9SX—RX—RX—sucu2005-10-29481P/-1P1-()--252(P)P=np/n34-(Pbar):Pbar=n1p1+n2p2+…+nkpk/(n1+n2+…+nk)2005-10-29491P/-2-(Pbar):nPPPLCLnPPPUCLPP)1(3)1(3−−=−+=1225%nnUSLLSLA±25%BCnn.UCL,LCL=P±3P(1P)/n=P±3p(1p)/n2005-10-29501P/-35:PUSLLSL(2005-10-29511P/-4Pspc.xls2005-10-29522nP/--2005-10-29533C/()-CC110022005-10-29544u/()-u2005-10-29551-1123456(mm,kgetc)XRmmmmΩºCh2005-10-29561-22005-10-29572-----------2005-10-29583Xbar-R-12005-10-29593Xbar-R-2:*70.360.410.430.510.550.690.801.191.88A20.220.180.140.08*****D31.781.821.861.922.02.112.282.573.27D41098765432n2005-10-29603Xbar-R-3:Xbar-Rspc.xls2005-10-29614Xbar-s-12005-10-29624Xbar-s-2:0.981.031.101.181.291.431.631.952.66A30.280.240.190.120.03****B31.721.761.821.881.972.092.272.573.27B41098765432n2005-10-29635Xmed-R-12005-10-29645Xmed-R-1:0.360.410.430.510.550.690.801.191.88m3A20.220.180.140.08*****D31.781.821.861.922.002.112.282.573.27D41098765432n2005-10-29656X-Rm-12005-10-29666X-Rm-2:70.981.011.051.111.181.291.461.772.66E20.220.180.140.08*****D31.781.821.861.922.002.112.282.573.27D41098765432n2005-10-29671-1zzzz2005-10-29681-2----2005-10-29691-3M=µM≠µσ6LSLUSLCp−=−−=σσ3,3minLSLxxUSLCpkσ3xUSLCp−=σ3LSLxCp−=1.Rx−2ˆdR=σ2.Sx−4ˆcS=σ3.MR−x2MRˆd=σ2005-10-29701-4ƒ,CaCpCPK0.047.980.108.0070.0215.000.0514.9560.0110.020.0310.0050.0110.010.0210.0040.0110.000.0310.0030.019.990.0210.0020.0110.010.0610.001CPKCpCa2005-10-29711-51.001.00~1.331.33~1.661.66~2.002.002005-10-29722-1ƒzz9CCABCCBAUCLLCLCL2005-10-29732-2z6ABCCBAUCLLCLCL2005-10-29742-3z11ABCCBAUCLLCLCL2005-10-29752-4z32AAABCCBAUCLLCLCL2005-10-29762-5z54BBABCCBAUCLLCLCL2005-10-29772-6z15CABCCBAUCLLCLCL2005-10-29782-6z8CABCCBAUCLLCLCL