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SPC(進階)應用講師:Tony.Wu/GQSDQM/Water.Guo(郭水香)Aug.20,201412管制圖應用決定關鍵特性決定管制圖類別分析决定管制界限制定定SPCSOPC&EDiagram,FMEAetc數據類型?抽樣容易?樣本同質性嗎?數據分配?分組大小?日常SPC监控(4W2H)PMPorControlPlan監測CPK3計量管制圖應用第一部份：平均值與全距管制圖()第二部份：平均值與标准差管制圖()第三部份：平均值與移动全距管制圖(X-MRChart)第一部份：平均值與全距管制圖()45應用流程決定管制圖界限制作初步管制圖管制狀態CLCA流程剔除特殊原因點N日常SPC管制(4W2H)CPK≧1.33YCPK≧2.0增加subgroupsize准備初步數据延長管制限PMPorControlPlan監測CPK6控制限公式:X–R與/S管制圖統計量標准值未給定標准值給定中心線UCL&LCL中心線UCL&LCLXXX±A2RX0orμX0±Aσ0RRD3R.D4RR0ord2σ0D1σ0,D2σ0Remark:X0,R0,s0,σ0,μ為給定的標准值7SPC系数表Xbar-R圖Xbar-S圖Xbar圖全距圖(R)Xbar圖標準差圖（S）分組大小管制界限的因子標準差估計的因子管制界限的因子管制界限的因子標準差估計的因子管制界限的因子nA2d2D3D4A3c4B3B421.8801.128-3.2672.6590.7979-3.267031.0231.693-2.5741.9540.8862-2.568040.7292.059-2.2821.6280.9213-2.266050.5772.326-2.1141.4270.9400-2.089060.4832.534-2.0041.2870.95150.3001.970070.4192.7040.0761.9241.1820.95940.1181.882080.3732.8740.1361.8641.0990.96500.1851.815090.3372.9700.1841.8161.0320.96930.2391.7610100.3083.0780.2231.7770.9750.97270.2841.7160110.2853.1730.2561.7440.9270.97540.3211.6790120.2663.2580.2831.7170.8860.97760.3541.6460130.2493.3360.3071.6930.8500.97940.3821.6180140.2353.4070.3281.6720.8170.98100.4061.5940150.2233.4720.3471.6530.7890.98230.4281.5720160.2123.5320.3631.6370.7630.98350.4481.5520170.2033.5880.3781.6220.7390.98450.4661.5340180.1943.6400.3911.6080.7180.98540.4822.5180190.1873.6980.4031.5970.6980.98620.4971.5030200.1803.7350.4151.5850.6800.98690.5101.4900210.1733.7780.4251.5750.6630.98760.5231.4770220.1673.8190.4341.5660.6470.98820.5341.4660230.1623.8580.4431.5570.6330.98870.5451.4550240.1573.8950.4511.5480.6190.98920.5551.4450250.1533.9310.4591.5410.6060.98960.5651.43508樣本大小確定9分析用SPC(標準值未給定）作法步驟:X-R管制圖1.收集與分析(20~25組)數據,計算平均值與R.2.點繪RChart識別糾正3.重新計算R及管制限並點繪:剔除特殊原因組,重新計算RChart控制限並點繪,直到顯示為“統計管制狀態”4.重新計算X-Chart控制限:用修正過的R&X,重新計算控制限5.點繪X-Chart識別糾正重新計算6.延長當前統計管制狀態”的控制限作為日常SPC管制10X-R控制圖例SampleSampleMean252321191715131197531170165160155__X=163.26UCL=171.34LCL=155.17SampleSampleRange2523211917151311975313020100_R=14.01UCL=29.63LCL=011Xbar-RChartofData1SampleSampleMean2321191715131197531170165160155__X=163.29UCL=170.83LCL=155.75SampleSampleRange23211917151311975313020100_R=13.07UCL=27.63LCL=01Xbar-RChartofData2SampleSampleMean2321191715131197531170165160155__X=163.65UCL=171.09LCL=156.21SampleSampleRange23211917151311975313020100_R=12.90UCL=27.28LCL=0Xbar-RChartofData3step2step5step1step3step4建立数据20150820.xls11X-R管制圖UCL=171.09LCL=156.21X=163.65R=12.90USL=180LSL=140d2=2.326σ=R/d2=12.9/2.326=5.546CPU=(180-163.65)/3/σ=0.98CPL=(163.65-140)/3/σ=1.42CPK=Min(CPU,CPL)=0.981.33需調整工藝到CPK≧1.33Step612日常X-R管制圖Step6:增加管制延長線,進入日常SPC管制What:何關鍵參數Who:R&RWhen:每天何時Where:station,machineHowmany:間隔多久,測多少樣品Howtomeasure,record,identify&CLCA13管制圖之實例說明14管制圖之實例說明15管制圖之實例說明16管制圖之實例說明17管制圖之實例說明18管制圖之實例說明19管制圖之實例說明Xbar=124.52Rbar=9.44USL=145LSL=105d2=2.326σ=R/d2=9.44/2.326=4.06CPU=(145-124.52)/3/σ=1.68CPL=(124.5-105)/3/σ=1.6CPK=Min(CPU,CPL)=1.61.3320管制圖之實例說明第二部份：平均值與标准差管制圖()21建立管制圖22建立管制圖23管制圖之實例說明2425管制圖之實例說明26管制圖之實例說明27管制圖之實例說明第三部份：平均值與移动全距管制圖(X-MRChart)28建立X-MR管制圖29建立X-MR管制圖30建立X-MR管制圖3132ObservationIndividualValue25232119171513119753167.467.267.066.8_X=67.0372UCL=67.3652LCL=66.7092ObservationMovingRange2523211917151311975310.40.30.20.10.0__MR=0.1233UCL=0.4030LCL=0444I-MRChartofData1ObservationIndividualValue2119171513119753167.467.267.066.866.6_X=67.0459UCL=67.4081LCL=66.6837ObservationMovingRange211917151311975310.40.30.20.10.0__MR=0.1362UCL=0.4450LCL=044444444I-MRChartofData2ObservationIndividualValue141312111098765432167.467.267.066.8_X=67.0464UCL=67.3738LCL=66.7191ObservationMovingRange14131211109876543210.40.30.20.10.0__MR=0.1231UCL=0.4021LCL=0I-MRChartofdata3X-MR管制圖之實例說明33X-MR管制圖之實例說明34X-MR管制圖之實例說明35X-MR管制圖之實例說明X-MR管制圖之實例說明36計數值管制圖•第一部份：不良率管制圖(p管制圖)•第二部份：缺點數管制圖(c管制圖)37第一部份：不良率管制圖(p管制圖)38建立p管制圖之目的39一.解析用管制圖(PhaseI)用來分析製程之品質二.監控用管制圖(PhaseII)用來監控製程之品質建立解析用p管制圖之流程4041建立解析用p管制圖之流程建立解析用p管制圖之流程4243建立解析用p管制圖之流程44建立解析用p管制圖之流程45建立解析用p管制圖之流程46建立解析用p管制圖之流程47建立解析用p管制圖之流程48建立解析用p管制圖之流程49建立管制用p管制圖之流程1/450建立管制用p管制圖之流程2/451建立管制用p管制圖之流程3/452建立管制用p管制圖之流程4/453p管制圖之實例說明54p管制圖之實例說明55p管制圖之實例說明56p管制圖之實例說明57p管制圖之實例說明58p管制圖之實例說明59計數數據—nPChart第二部份：缺點數管制圖(c管制圖)6061c管制圖之簡介62建立c管制圖之步驟63建立c管制圖之步驟64c管制圖之實例說明65c管制圖之實例說明66c管制圖之實例說明67c管制圖之實例說明68Thankyou