Acceptance Sampling Plans Supplement I AQL LTPD To

Sequential Sampling Chart To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh

Sequential Sampling Chart Number of defectives 8– 7– 6– 5– 4– 3– 2– 1–

Sequential Sampling Chart Number of defectives 8– 7– 6– 5– 4– Continue sampling 3–

Sequential Sampling Chart Number of defectives 8– 7– 6– Reject 5– 4– Continue sampling

Sequential Sampling Chart Number of defectives 8– 7– 6– Reject 5– 4– Decision to

Operating Characteristic Curve To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh

Probability of acceptance Operating Characteristic Curve Figure I. 2 Proportion defective To Accompany Krajewski

Operating Characteristic Curve Probability of acceptance Ideal OC curve Figure I. 2 Proportion defective

Operating Characteristic Curve Probability of acceptance Ideal OC curve Figure I. 2 Typical OC

Operating Characteristic Curve 1. 0 Probability of acceptance Ideal OC curve Typical OC curve

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8

Operating Characteristic Curve Proportion defective (p) Probability of acceptance 1. 0 – 0. 9

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – Proportion defective

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 878

Operating Characteristic Curve Probability of acceptance 1. 0 – Producer’s Risk (p = AQL)

Operating Characteristic Curve Probability of acceptance 1. 0 – n Producer’s Risk (p =

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – n =

Operating Characteristic Curve n = 60, c = 1 Probability of acceptance 1. 0

Acceptance Sampling Plan To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh

Acceptance Sampling Plan AQL Based Acceptance Number 0 1 2 3 4 5 6

Average outgoing quality (percent) Operating Characteristic Curve Example I. 2 1. 6 – 1.

Proportion Defective (p) Example I. 2 np Average outgoing quality (percent) Operating Characteristic Curve

Proportion Defective (p) np 0. 01 0. 02 0. 03 0. 04 0. 05

Average outgoing quality (percent) Operating Characteristic Curve Figure I. 6 AOQL 1. 6 –

Solved Problem 1. 000 0. 996 Probability of acceptance (Pa) 1. 0 — =

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Sequential Sampling Chart Number of defectives 8– 7– 6– 5– 4– 3– 2– 1– 0– Figure I. 1 | 10 | 20 | | 30 40 50 60 Cumulative sample size | 70 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Sequential Sampling Chart Number of defectives 8– 7– 6– 5– 4– Continue sampling 3– 2– 1– 0– Figure I. 1 | 10 | 20 | | 30 40 50 60 Cumulative sample size | 70 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Sequential Sampling Chart Number of defectives 8– 7– 6– Reject 5– 4– Continue sampling 3– 2– Accept 1– 0– Figure I. 1 | 10 | 20 | | 30 40 50 60 Cumulative sample size | 70 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Sequential Sampling Chart Number of defectives 8– 7– 6– Reject 5– 4– Decision to reject Continue sampling 3– 2– Accept 1– 0– Figure I. 1 | 10 | 20 | | 30 40 50 60 Cumulative sample size | 70 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Probability of acceptance Operating Characteristic Curve Figure I. 2 Proportion defective To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance Ideal OC curve Figure I. 2 Proportion defective To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance Ideal OC curve Figure I. 2 Typical OC curve Proportion defective To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1. 0 Probability of acceptance Ideal OC curve Typical OC curve Figure I. 2 AQL LTPD Proportion defective To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Proportion defective (p) Probability of acceptance 1. 0 – 0. 9 – Probability of c or less defects (Pa) np n = 60 c=1 Comments 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – Proportion defective (p) np Probability of c or less defects (Pa) n = 60 c=1 Comments 0. 8 – np 0. 7 – 0 1 2 –. 05 0. 6. 951. 999 1. 000. 10 0. 5. 905. 995 1. 000 –. 15. 861. 990. 999 –. 20 0. 4. 819. 982. 999. 25 0. 3. 779. 974. 998 –. 30. 741. 963. 996 –. 35 0. 2. 705. 951. 994. 40 0. 1. 670. 938. 992 –. 45. 638. 925. 989 | | | | – |. 910|. 986. 50 0. 0. 607 1 2 3 4 5 6 7 8 9 10. 55. 577. 894. 982 (AQL) (LTPD). 60. 549. 878. 977 Proportion. 65. 522. 861. 972 defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – Proportion Defective (p) 0. 01 (AQL) np Probability of c or less defects (Pa) n = 60 c=1 Comments 0. 6 np 0. 7 – 0 1 2 –. 05 0. 6. 951. 999 1. 000. 10 0. 5. 905. 995 1. 000 –. 15. 861. 990. 999 –. 20 0. 4. 819. 982. 999. 25 0. 3. 779. 974. 998 –. 30. 741. 963. 996 –. 35 0. 2. 705. 951. 994. 40 0. 1. 670. 938. 992 –. 45. 638. 925. 989 | | | | – |. 910|. 986. 50 0. 0. 607 1 2 3 4 5 6 7 8 9 10. 55. 577. 894. 982 (AQL) (LTPD). 60. 549. 878. 977 Proportion. 65. 522. 861. 972 defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – Proportion defective (p) 0. 01 (AQL) np Probability of c or less defects (Pa) n = 60 c=1 Comments 0. 6 np 0. 7 – 0 1 2 –. 05 0. 6. 951. 999 1. 000. 10 0. 5. 905. 995 1. 000 –. 15. 861. 990. 999 –. 20 0. 4. 819. 982. 999. 25 0. 3. 779. 974. 998 –. 30. 741. 963. 996 –. 35 0. 2. 705. 951. 994. 40 0. 1. 670. 938. 992 –. 45. 638. 925. 989 | | | | – |. 910|. 986. 50 0. 0. 607 1 2 3 4 5 6 7 8 9 10. 55. 577. 894. 982 (AQL) (LTPD). 60. 549. 878. 977 Proportion. 65. 522. 861. 972 defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – Proportion defective (p) 0. 01 (AQL) np Probability of c or less defects (Pa) 0. 6 0. 878 np 0. 7 – 0 1 2 –. 05 0. 6. 951. 999 1. 000. 10 0. 5. 905. 995 1. 000 –. 15. 861. 990. 999 –. 20 0. 4. 819. 982. 999. 25 0. 3. 779. 974. 998 –. 30. 741. 963. 996 –. 35 0. 2. 705. 951. 994. 40 0. 1. 670. 938. 992 –. 45. 638. 925. 989 | | | | – |. 910|. 986. 50 0. 0. 607 1 2 3 4 5 6 7 8 9 10. 55. 577. 894. 982 (AQL) (LTPD). 60. 549. 878. 977 Proportion. 65. 522. 861. 972 defective (hundredths) n = 60 c=1 Comments Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Proportion defective (p) Probability of acceptance 1. 0 – 0. 9 – 0. 8 – 0. 01 (AQL) np Probability of c or less defects (Pa) 0. 6 0. 878 n = 60 c=1 Comments 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Proportion defective (p) Probability of acceptance 1. 0 – 0. 9 – 0. 8 – 0. 01 (AQL) 0. 663 0. 02 0. 03 0. 04 0. 05 0. 06 (LTPD) 0. 07 0. 308 0. 09 0. 199 0. 10 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – Probability of c or less defects (Pa) np 0. 6 1. 2 1. 8 2. 4 3. 0 3. 6 4. 2 4. 8 5. 4 6. 0 0. 878 0. 663 0. 463 0. 308 0. 199 0. 126 0. 078 0. 048 0. 029 0. 017 0. 048 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 n = 60 c=1 Comments = 1. 000 – 0. 878 = 0. 122 = 0. 126 | 10 Proportion defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 878 0. 8 – 0. 663 0. 7 – 0. 6 – 0. 463 0. 5 – 0. 4 – 0. 308 0. 3 – 0. 199 0. 126 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) 0. 078 0. 048 | 9 0. 029 | 0. 017 10 Proportion defective (hundredths) Example I. 1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 878 = 0. 122 0. 8 – 0. 7 – 0. 663 0. 6 – 0. 463 0. 5 – 0. 4 – 0. 308 0. 3 – 0. 199 0. 126 0. 2 – 0. 1 – = 0. 126 | | 0. 0 – | 1 2 3 (AQL) | 4 | 5 | | 6 7 (LTPD) 0. 078 0. 048 | 9 0. 029 | 0. 017 10 Proportion defective (hundredths) Figure I. 3 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – Producer’s Risk (p = AQL) 0. 9 – 0. 8 – n 0. 7 – Consumer’s Risk (p = LTPD) 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – n Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 60 0. 122 0. 126 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – n Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 60 80 0. 122 0. 191 0. 126 0. 048 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – n Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 60 80 100 0. 122 0. 191 0. 264 0. 126 0. 048 0. 017 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – n Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 60 80 100 120 0. 122 0. 191 0. 264 0. 332 0. 126 0. 048 0. 017 0. 006 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – n = 60, c = 1 0. 8 – n = 80, c = 1 0. 7 – 0. 6 – n = 100, c = 1 0. 5 – 0. 4 – n = 120, c = 1 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 4 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – Producer’s Risk (p = AQL) 0. 7 – c 0. 6 – Consumer’s Risk (p = LTPD) 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – 0. 6 – c Producer’s Risk (p = AQL) 0. 5 – 1 0. 122 0. 7 – Consumer’s Risk (p = LTPD) 0. 126 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – c Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 1 2 0. 122 0. 023 0. 126 0. 303 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – c Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 1 2 3 0. 122 0. 023 0. 003 0. 126 0. 303 0. 515 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve Probability of acceptance 1. 0 – 0. 9 – 0. 8 – c Producer’s Risk (p = AQL) Consumer’s Risk (p = LTPD) 1 2 3 4 0. 122 0. 023 0. 000 0. 126 0. 303 0. 515 0. 726 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve n = 60, c = 1 Probability of acceptance 1. 0 – n = 60, c = 2 n = 60, c = 3 n = 60, c = 4 0. 9 – 0. 8 – 0. 7 – 0. 6 – 0. 5 – 0. 4 – 0. 3 – 0. 2 – 0. 1 – 0. 0 – | | 1 2 (AQL) | 3 | 4 | 5 | | 6 7 (LTPD) | 8 | 9 | 10 Proportion defective (hundredths) Figure I. 5 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Acceptance Sampling Plan AQL Based Acceptance Number 0 1 2 3 4 5 6 7 8 9 10 Expected Defectives 0. 0509 0. 3552 0. 8112 1. 3675 1. 9680 2. 6256 3. 2838 3. 9794 4. 6936 5. 4237 6. 1635 LTPD Based Sample Size Expected Defectives Sample Size 5 36 81 137 197 263 328 398 469 542 616 2. 2996 3. 8875 5. 3217 6. 6697 7. 9894 9. 2647 10. 5139 11. 7726 12. 9903 14. 2042 15. 4036 38 65 89 111 133 154 175 196 217 237 257 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Average outgoing quality (percent) Operating Characteristic Curve Example I. 2 1. 6 – 1. 2 – 0. 8 – 0. 4 – 0– | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Proportion Defective (p) Example I. 2 np Average outgoing quality (percent) Operating Characteristic Curve Probability of Acceptance (Pa) 1. 6 – 1. 2 – 0. 8 – 0. 4 – 0– | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Proportion Defective (p) np 0. 01 0. 02 0. 03 0. 04 0. 05 0. 06 0. 07 0. 08 1. 10 2. 20 3. 30 4. 40 5. 50 6. 60 7. 70 8. 80 Example I. 2 Average outgoing quality (percent) Operating Characteristic Curve Probability of Acceptance (Pa) 1. 6 – 0. 974 1. 2 – 0. 819 0. 581 = (0. 603 + 0. 558)/2 0. 359 0. 202 = (0. 213 + 0. 191)/2 0. 8 – 0. 105 0. 052 = (0. 055 + 0. 048)/2 0. 024 0. 4 – 0– | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Proportion Defective (p) np 0. 01 0. 02 0. 03 0. 04 0. 05 0. 06 0. 07 0. 08 1. 10 2. 20 3. 30 4. 40 5. 50 6. 60 7. 70 8. 80 Example I. 2 Average outgoing quality (percent) Operating Characteristic Curve Probability of Acceptance (Pa) 1. 6 – 0. 974 1. 2 – 0. 819 0. 581 = (0. 603 + 0. 558)/2 0. 359 0. 202 + 0. 191)/2 0. 8 – For p==(0. 213 0. 01: 0. 105 0. 052 = (0. 055 + 0. 048)/2 0. 024 0. 4 – 0– | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Proportion Defective (p) np 0. 01 0. 02 0. 03 0. 04 0. 05 0. 06 0. 07 0. 08 1. 10 2. 20 3. 30 4. 40 5. 50 6. 60 7. 70 8. 80 Example I. 2 Average outgoing quality (percent) Operating Characteristic Curve Probability of Acceptance (Pa) 1. 6 – 0. 974 1. 2 – 0. 819 0. 581 = (0. 603 + 0. 558)/2 0. 359 0. 202 + 0. 191)/2 0. 8 – 0. 01(0. 974)(1000 – 110)/1000 = 0. 0087 For p==(0. 213 0. 01: 0. 105 0. 052 = (0. 055 + 0. 048)/2 0. 024 0. 4 – 0– | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Proportion Defective (p) np 0. 01 0. 02 0. 03 0. 04 0. 05 0. 06 0. 07 0. 08 1. 10 2. 20 3. 30 4. 40 5. 50 6. 60 7. 70 8. 80 Average outgoing quality (percent) Operating Characteristic Curve Probability of Acceptance (Pa) 1. 6 – 0. 974 1. 2 – 0. 819 0. 581 = (0. 603 + 0. 558)/2 0. 359 0. 202 + 0. 191)/2 0. 8 – 0. 01(0. 974)(1000 – 110)/1000 = 0. 0087 For p==(0. 213 0. 01: 0. 105 For p = 0. 02: 0. 02(0. 819)(1000 – 110)/1000 = 0. 0146 0. 052 = (0. 055 + 0. 048)/2 For p = 0. 03: 0. 03(0. 581)(1000 – 110)/1000 = 0. 0155 0. 024 For p = 0. 04: 0. 04(0. 359)(1000 – 110)/1000 = 0. 0128 0. 4 – For p = 0. 05: For p = 0. 06: For p = 0. 07: For p = 0. 08: 0 Example I. 2 0. 05(0. 202)(1000 – 110)/1000 = 0. 0090 0. 06(0. 105)(1000 – 110)/1000 = 0. 0056 0. 07(0. 052)(1000 – 110)/1000 = 0. 0032 | | | | – 0. 08(0. 024)(1000 – 110)/1000 = 0. 0017 1 2 3 4 5 6 7 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Average outgoing quality (percent) Operating Characteristic Curve Figure I. 6 AOQL 1. 6 – 1. 2 – 0. 8 – 0. 4 – 0– | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Defectives in lot (percent) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Solved Problem 1. 000 0. 996 Probability of acceptance (Pa) 1. 0 — = 0. 049 0. 951 0. 810 0. 9 — 0. 8 — 0. 7 — 0. 587 0. 6 — 0. 5 — 0. 4 — 0. 363 0. 3 — 0. 2 — 0. 1 — 0— | 1 | 2 | 3 (AQL) | 4 0. 194 0. 092 0. 039 = 0. 092 | | | 0. 015 5 6 7 8 9 10 (LTPD) Proportion defective (hundredths)(p) To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.