SPC公开课

SPCStatisticalProcessControl••σ〈+∞−∞〈=−−xexpx,21)(222)(σµσπ210==σµ)()1()(dndppdndXp−−⎟⎟⎠⎞⎜⎜⎝⎛==1.050==pnλλ−==eddXpd!)(15=λ//1324•••••••••¾¾¾¾¾¾¾¾¾¾¾¾¾−−−−−−−−MRxRxsxRx~Rx−Rx−Rx−nxxxxn+++=...21xxR−=nxx...,21RxkRRRRk+++=...21kxxxxk+++=...211xRAxLCLRAxUCLRDLCLRDUCLxxRR2234−=+=×=×=n2345678910D43.272.572.282.112.001.921.861.821.78D3*****0.080.140.180.22A21.881.020.730.580.480.420.370.340.316.826.846.866.886.91234567891011121314151617181920212223242500.010.020.030.040.050.060.0712345678910111213141516171819202122232425-3ABCµσµ+σµ2+σµ3+σµ−σµ2−σµ3−9••σσˆ66TTCp≈==10ˆˆ22==ndRdRσσn2345678910d21.131.692.062.332.532.702.852.973.08USLLSL),min(/3/322CplCpuCpkdRLSLxCpldRxUSLCpu=×−=×−=µµεεε:22/)1(MMTTKCKCpkp−===−=SLSLUSLPp×−=61)(),min(332−−==×−=×−=∑nxxSPplPpuPpkSLSLxPplSxUSLPpui•••sx−nxxxxn+++=...211)(2−−=∑nxxsinxx...,21kssssk+++=...21kxxxxk+++=...211xsAxLCLsAxUCLsBLCLsBUCLxxss3334−=+=×=×=n2345678910B43.272.572.272.091.971.881.821.761.72B3****0.030.120.190.240.28A32.661.951.631.431.291.181.101.030.986.826.846.866.886.91234567891011121314151617181920212223242500.010.020.030.040.050.060.0712345678910111213141516171819202122232425σσˆ66TTCp≈==44ˆˆcscs==σσn2345678910c40.7980.8860.9210.9400.9520.9590.9650.9690.973),min(/3/344CplCpuCpkcsLSLxCplcsxUSLCpu=×−=×−=µµεεε:22/)1(MMTTKCKCpkp−===−=SLSLUSLPp×−=61)(),min(332−−==×−=×−=∑nxxSPplPpuPpkSLSLxPplSxUSLPpuiRx−~=x~xxR−=nxx...,21−−−kRRRRk+++=...21kxxxxk~...~~~21+++=1~xRFxLCLRFxUCLRDLCLRDUCLxxRR2~2~34~~−=+=×=×=n2345678910D43.272.572.282.112.001.921.861.821.78D3*****0.080.140.180.22F21.881.190.800.690.550.510.430.410.366.826.846.866.886.91234567891011121314151617181920212223242500.010.020.030.040.050.060.0712345678910111213141516171819202122232425σσˆ66TTCp≈==10ˆˆ22==ndRdRσσn2345678910d21.131.692.062.332.532.702.852.973.08),min(/3~/3~22CplCpuCpkdRLSLxCpldRxUSLCpu=×−=×−=µµεεε:22/)1(MMTTKCKCpkp−===−=ProcessPerformance6SPpPpkSLSLUSLPp×−=61)(),min(3~3~2−−==×−=×−=∑nxxSPplPpuPpkSLSLxPplSxUSLPpui•••MRx−kRRRRk+++=...21kxxxxk+++=...21RExLCLRExUCLRDLCLRDUCLxxMRMR2234−=+=×=×=n2345678910D43.272.572.282.112.001.921.861.821.78D3*****0.080.140.180.22E22.661.771.461.291.181.111.051.010.98σσˆ66TTCp≈==10ˆˆ22==ndRdRσσn2345678910d21.131.692.062.332.532.702.852.973.08),min(/3/322CplCpuCpkdRLSLxCpldRxUSLCpu=×−=×−=ProcessCapabilityIndexCpCpkCpkµµεεε:22/)1(MMTTKCKCpkp−===−=ProcessPerformance6SPpPpkSLSLUSLPp×−=61)(),min(332−−==×−=×−=∑nxxSPplPpuPpkSLSLxPplSxUSLPpui•••P•PnP1P25%••25kkknnnpnpnpnp......212211+++++=ipipnpppLCLnpppUCL)1(3)1(3−−=−+=a;bc:•••nP•nPnP1nP••25knpnpnppnk+++=...21knpnpnppnk+++=...21)1(3)1(3ppnpnLCLppnpnUCLnpnp−−=−+=4••••••••kcccck+++=...21ccLCLccUCLcc33−=+=a;bc:•••de••••••iuiunuuLCLnuuUCL33−=+=112121......ncnnncccukk+++++=