Acceptance Sampling Plans

Slides:

Advertisements

Similar presentations

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Lean Systems.

Advertisements

a form of inspection applied to lots or batches of items before or after a process to judge conformance to predetermined standards Lesson 15 Acceptance.

Ch © 2000 by Prentice-Hall Inc Russell/Taylor Oper Mgt 3/e Example R-Chart.

© 2006 Prentice Hall, Inc.S6 – 1 Operations Management Chapter 8 - Statistical Process Control PowerPoint presentation to accompany Heizer/Render Principles.

S6 - 1© 2011 Pearson Education, Inc. publishing as Prentice Hall S6 Statistical Process Control PowerPoint presentation to accompany Heizer and Render.

Lecture 26 Quality inspection systems. Quality Inspection Systems  There are four systems which are used in industry – 4-point system – 10 point system.

13–1. 13–2 Chapter Thirteen Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin.

Recitation 8 OC CURVES AOQ. Review of parameters N:Lot size n1: Sample size on the first sample c1: Acceptance # on the first sample r1: Non-acceptance.

Quality Control Chapter 9- Lot-by-Lot Acceptance Sampling

Copyright 2006 John Wiley & Sons, Inc. Beni Asllani University of Tennessee at Chattanooga Operations Management - 5 th Edition Chapter 4 Supplement Roberta.

Section 7 Acceptance Sampling

Acceptance Sampling Acceptance sampling is a method used to accept or reject product based on a random sample of the product. The purpose of acceptance.

1 IES 331 Quality Control Chapter 14 Acceptance Sampling for Attributes – Single Sampling Plan and Military Standard Week 13 August 30 – September 1, 2005.

G – 1 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall. Acceptance Sampling Plans G For Operations Management, 9e by Krajewski/Ritzman/Malhotra.

Copyright 2006 John Wiley & Sons, Inc. Beni Asllani University of Tennessee at Chattanooga Operations Management Chapter 3 Supplement Roberta Russell &

Acceptance Sampling Chapter 3 Supplement © 2014 John Wiley & Sons, Inc. - Russell and Taylor 8e.

Acceptance Sampling Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill.

15 Lot-by-Lot Acceptance Sampling for Attributes Chapter 15

OC curve for the single sampling plan N = 3000, n=89, c= 2

Managing Quality Chapter 5.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Information.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Linear Programming.

Supplement E - Special Inventory Models. Special Inventory Models Production quantity Demand during production interval Maximum inventory Production and.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Waiting.

09/16/04SJSU Bus David Bentley1 Chapter 10S – Acceptance Sampling Definition, purpose, sampling plans, operating characteristic curve, AQL, LTPD,

Average Outgoing Quality

McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 10S Acceptance Sampling.

Operating Characteristic Curve

Acceptance Sampling Plans Supplement G

Acceptance Sampling McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Chapter 16.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Chapter 9.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Group Technology.

© 2007 Pearson Education   AQL LTPD Acceptance Sampling Plans Supplement I.

Acceptance Sampling Outline Sampling Some sampling plans

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Supplement.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Supplement.

Chapter 15Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc. 1 Chapter 15-

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Resource.

© 2007 Pearson Education   AQL LTPD Acceptance Sampling Plans Supplement I.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Financial.

Acceptance Sampling Terminology

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Special.

To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved. Inventory.

Copyright © 2014 by McGraw-Hill Education (Asia). All rights reserved. 10S Acceptance Sampling.

Copyright © Cengage Learning. All rights reserved. 16 Quality Control Methods.

Assignable variation Deviations with a specific cause or source. Click here for Hint assignable variation or SPC or LTPD?

Acceptable quality level (AQL) Proportion of defects a consumer considers acceptable. Click here for Hint AQL or producer’s risk or assignable variation?

© 2006 Prentice Hall, Inc.S6 – 1 Operations Management Supplement 6 – Statistical Process Control © 2006 Prentice Hall, Inc. PowerPoint presentation to.

Chapter 15Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012 John Wiley & Sons, Inc. 1.

Operating Characteristic (OC) Curves

acceptable quality level (AQL) Proportion of defects

Acceptance Sampling İST 252 EMRE KAÇMAZ B4 /

Master Production Scheduling

Acceptance sampling Process of evaluating a portion of the product/material in a lot for the purpose of accepting or rejecting the lot as either conforming.

The Certified Quality Process Handbook Chapter 18: Sampling

Strategy Chapter 2.

Presentation Overview

OPERATIONS MANAGEMENT: Creating Value Along the Supply Chain,

Special Inventory Models

Acceptance Sampling Outline Sampling Some sampling plans

ACCEPTANCE SAMPLING FOR ATTRIBUTES

Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

Learning Curve Analysis

Decision Making Supplement A

Quality Control Methods

Managing Risk Chapter 7.

Computer-Integrated Manufacturing

Simulation Supplement B

Statistical Quality Control

Presentation transcript:

Acceptance Sampling Plans Supplement I a  AQL LTPD To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Sequential Sampling Chart To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

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

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

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

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

Operating Characteristic Curve To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

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

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

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

Operating Characteristic Curve 1.0  Ideal OC curve Typical OC curve AQL LTPD Probability of acceptance Proportion defective Figure I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 Proportion of c or less defective defects (p) np (Pa) Comments n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 Proportion of c or less defective defects (p) np (Pa) Comments n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 .972 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 Proportion of c or less Defective defects (p) np (Pa) Comments 0.01 (AQL) 0.6 n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 .972 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 Proportion of c or less defective defects (p) np (Pa) Comments 0.01 (AQL) 0.6 n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 .972 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 Proportion of c or less defective defects (p) np (Pa) Comments 0.01 (AQL) 0.6 0.878 n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 .972 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 Proportion of c or less defective defects (p) np (Pa) Comments 0.01 (AQL) 0.6 0.878 n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 .972 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 Proportion of c or less defective defects (p) np (Pa) Comments 0.01 (AQL) 0.6 0.878 n = 60 c = 1 1.0 – 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) Proportion defective (hundredths) Probability of acceptance 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 Proportion of c or less defective defects (p) np (Pa) Comments 0.01 (AQL) 0.6 0.878 a = 1.000 – 0.878 = 0.122 0.02 1.2 0.663 0.03 1.8 0.463 0.04 2.4 0.308 0.05 3.0 0.199 0.06 (LTPD) 3.6 0.126 b = 0.126 0.07 4.2 0.078 0.08 4.8 0.048 0.09 5.4 0.029 0.10 6.0 0.017 n = 60 c = 1 1.0 – 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 10 0.308 0.199 0.048 (AQL) (LTPD) Proportion defective (hundredths) Probability of acceptance Example I.1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.0 – 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 0.878 0.663 0.463 0.308 0.199 0.126 0.078 0.048 0.029 0.017 (AQL) (LTPD) Proportion defective (hundredths) Probability of acceptance Example I.1 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.0 – 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 0.878 0.663 0.463 0.308 0.199 0.126 0.078 0.048 0.029 0.017 a = 0.122 (AQL) (LTPD) Proportion defective (hundredths) Probability of acceptance b = 0.126 Figure I.3 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Producer’s Consumer’s Risk Risk n (p = AQL) (p = LTPD) Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Producer’s Consumer’s Risk Risk n (p = AQL) (p = LTPD) 60 0.122 0.126 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Producer’s Consumer’s Risk Risk n (p = AQL) (p = LTPD) 60 0.122 0.126 80 0.191 0.048 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – 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 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – 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 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – n = 60, c = 1 n = 80, c = 1 Probability of acceptance n = 100, c = 1 n = 120, c = 1 | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Producer’s Consumer’s Risk Risk c (p = AQL) (p = LTPD) Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Producer’s Consumer’s Risk Risk c (p = AQL) (p = LTPD) 1 0.122 0.126 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – Producer’s Consumer’s Risk Risk c (p = AQL) (p = LTPD) 1 0.122 0.126 2 0.023 0.303 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – 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 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – 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 0.726 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 1.0 – 0.9 – 0.8 – 0.7 – 0.6 – 0.5 – 0.4 – 0.3 – 0.2 – 0.1 – 0.0 – n = 60, c = 2 n = 60, c = 3 n = 60, c = 4 Probability of acceptance | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 (AQL) (LTPD) 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 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Acceptance Sampling Plan AQL Based LTPD Based 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 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (p) np (Pa) Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (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 0.024 Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (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 0.024 For p = 0.01: Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (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 0.024 For p = 0.01: 0.01(0.974)(1000 – 110)/1000 = 0.0087 Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (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 0.024 For p = 0.01: 0.01(0.974)(1000 – 110)/1000 = 0.0087 Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (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 0.024 For p = 0.01: 0.01(0.974)(1000 – 110)/1000 = 0.0087 For p = 0.02: 0.02(0.819)(1000 – 110)/1000 = 0.0146 For p = 0.03: 0.03(0.581)(1000 – 110)/1000 = 0.0155 For p = 0.04: 0.04(0.359)(1000 – 110)/1000 = 0.0128 For p = 0.05: 0.05(0.202)(1000 – 110)/1000 = 0.0090 For p = 0.06: 0.06(0.105)(1000 – 110)/1000 = 0.0056 For p = 0.07: 0.07(0.052)(1000 – 110)/1000 = 0.0032 For p = 0.08: 0.08(0.024)(1000 – 110)/1000 = 0.0017 Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Average outgoing quality (percent) Proportion Probability Defective of Acceptance (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 0.024 Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – Average outgoing quality (percent) | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Example I.2 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Operating Characteristic Curve 1.6 – 1.2 – 0.8 – 0.4 – 0 – AOQL Average outgoing quality (percent) | | | | | | | | 1 2 3 4 5 6 7 8 Defectives in lot (percent) Figure I.6 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.

Solved Problem Probability of acceptance (Pa) (AQL) (LTPD) 1.0 — 0.9 — 0.8 — 0.7 — 0.6 — 0.5 — 0.4 — 0.3 — 0.2 — 0.1 — 0 — | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10 Proportion defective (hundredths)(p) Probability of acceptance (Pa) (AQL) (LTPD) 1.000 0.996 0.951 0.810 0.587 0.363 0.194 0.092 0.039 0.015  = 0.092  = 0.049 To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Seventh Edition © 2004 Prentice Hall, Inc. All rights reserved.