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aAQLLTPDSupplementJ-
AcceptanceSampling
Plans第一頁,共五十四頁。SequentialSamplingChart第二頁,共五十四頁。SequentialSamplingChart8–7–6–5–4–3–2–1–0–Cumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1第三頁,共五十四頁。SequentialSamplingChart8–7–6–5–4–3–2–1–0–ContinuesamplingCumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1第四頁,共五十四頁。SequentialSamplingChart8–7–6–5–4–3–2–1–0–RejectContinuesamplingAcceptCumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1第五頁,共五十四頁。SequentialSamplingChart8–7–6–5–4–3–2–1–0–RejectDecisiontorejectContinuesamplingAcceptCumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1第六頁,共五十四頁。OperatingCharacteristicCurve第七頁,共五十四頁。OperatingCharacteristicCurveProbabilityofacceptanceProportiondefectiveFigureJ.2第八頁,共五十四頁。OperatingCharacteristicCurveIdealOCcurveProbabilityofacceptanceProportiondefectiveFigureJ.2第九頁,共五十四頁。OperatingCharacteristicCurveIdealOCcurveTypicalOCcurveProbabilityofacceptanceProportiondefectiveFigureJ.2第十頁,共五十四頁。OperatingCharacteristicCurvea1.0IdealOCcurveTypicalOCcurveAQLLTPDProbabilityofacceptanceProportiondefectiveFigureJ.2第十一頁,共五十四頁。OperatingCharacteristicCurve第十二頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1第十三頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorlessdefective defects (p) np (Pa) Comments
n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1第十四頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments
n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1第十五頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorless Defective defects (p) np (Pa) Comments0.01(AQL) 0.6 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1第十六頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1第十七頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1第十八頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1第十九頁,共五十四頁。OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1第二十頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–0.663 | | | | | | | | | | 1 2 3 4 5 6 7 8 9 100.3080.1990.048(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 a=1.000–0.878=0.1220.02 1.2 0.6630.03 1.8 0.4630.04 2.4 0.3080.05 3.0 0.1990.06(LTPD) 3.6 0.126 b=0.1260.07 4.2 0.0780.08 4.8 0.0480.09 5.4 0.0290.10 6.0 0.017n=60c=1ExampleJ.1第二十一頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 100.8780.6630.4630.3080.1990.1260.0780.0480.0290.017(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1第二十二頁,共五十四頁。OperatingCharacteristicCurveFigureJ.31.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 100.8780.6630.4630.3080.1990.1260.0780.0480.0290.017a=0.122(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptanceb=0.126第二十三頁,共五十四頁。OperatingCharacteristicCurve第二十四頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceFigureJ.4第二十五頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD)
FigureJ.4第二十六頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126FigureJ.4第二十七頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126 80 0.191 0.048FigureJ.4第二十八頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126 80 0.191 0.048 100 0.264 0.017FigureJ.4第二十九頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceFigureJ.4 Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126 80 0.191 0.048 100 0.264 0.017 120 0.332 0.006第三十頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptancen=60,c=1n=80,c=1n=100,c=1n=120,c=1FigureJ.4第三十一頁,共五十四頁。OperatingCharacteristicCurve第三十二頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceFigureJ.5第三十三頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD)FigureJ.5第三十四頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126
FigureJ.5第三十五頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126 2 0.023 0.303
FigureJ.5第三十六頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126 2 0.023 0.303 3 0.003 0.515FigureJ.5第三十七頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126 2 0.023 0.303 3 0.003 0.515 4 0.000 0.726FigureJ.5第三十八頁,共五十四頁。OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptancen=60,c=1n=60,c=2n=60,c=3n=60,c=4FigureJ.5第三十九頁,共五十四頁。AcceptanceSamplingPlan第四十頁,共五十四頁。AcceptanceSamplingPlan AQLBased LTPDBased 0 0.0509 5 2.2996 38 1 0.3552 36 3.8875 65 2 0.8112 81 5.3217 89 3 1.3675 137 6.6697 111 4 1.9680 197 7.9894 133 5 2.6256 263 9.2647 154 6 3.2838 328 10.5139 175 7 3.9794 398 11.7726 196 8 4.6936 469 12.9903 217 9 5.4237 542 14.2042 237 10 6.1635 616 15.4036 257 Acceptance Expected Sample Expected Sample Number Defectives Size Defectives Size第四十一頁,共五十四頁。OperatingCharacteristicCurve第四十二頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent)ExampleJ.2第四十三頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa)
ExampleJ.2第四十四頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024ExampleJ.2第四十五頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: ExampleJ.2第四十六頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: 0.01(0.974)(1000–110)/1000=0.0087ExampleJ.2第四十七頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: 0.01(0.974)(1000–110)/1000=0.0087ExampleJ.2第四十八頁,共五十四頁。OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: 0.01(0.974)(1000–110)/1000=0.0087Forp=0.02: 0.02(0.819)(1000–110)/1000=0.0146Forp=0.03: 0.03(0.581)(1000–110)/1000=0.0155Forp=0.04: 0
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