Six Sigma for Electronics Design and Manufacturing This page intentionally left blank. Six Sigma for Electronics Design and Manufacturing Sammy G. Shina University of Massachusetts, Lowell McGraw-Hill New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto abc McGraw-Hill Copyright ©2002 by The McGraw--Hill Companies,Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be repro- duced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior writ- ten permission of the publisher. 0-07-140955-6 The material in this eBook also appears in the print version of this title:0-07-139511-3. All trademarks are trademarks of their respective owners. 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If you’d like more information about this book, its author, or related books and websites, please click here. To my wife, love, friend, and companion Jackie, and our children and grandchildren For more information about this book, click here. Contents Illustrations and Tables xvii Abbreviations xxiii Preface xxvi Chapter 1. The Nature of Six Sigma and Its Connectivity 1 to Other Quality Tools 1.1 Historical Perspective 1 1.2 Why Six Sigma? 4 1.3 Defending Six Sigma 7 1.4 The Definitions of Six Sigma 8 1.5 Increasing the Cp Level to Reach Six Sigma 9 1.6 Definitions of Major Quality Tools and How 10 They Effect Six Sigma 1.7 Mandatory Quality Tools 10 1.8 Quality Function Deployment (QFD) 11 1.8.1 Engineering 11 1.8.2 Management 11 1.8.3 Marketing 12 1.9 Design for Manufacture (DFM) 00 1.10 Design of Experiments (DoE) 00 1.11 Other Quality Tools 20 1.11.1 Process mapping 21 1.11.2 Failure modes and effects analysis (FMEA) 26 1.12 Gauge Repeatability and Reproducibility (GR&R) 29 1.13 Conclusions 30 1.14 References and Bibliography 31 Chapter 2. The Elements of Six Sigma and 33 Their Determination 2.1 The Quality Measurement Techniques: SQC, Six Sigma, Cp and Cpk 34 2.1.1 The Statistical quality control (SQC) methods 34 2.1.2 The relationship of control charts and 35 six sigma 2.1.3 The process capability index (Cp) 36 2.1.4 Six sigma approach 39 vii Copyright 2002 The McGraw-Hill Companies, Inc. Click Here for Terms of Use. viii Contents 2.1.5 Six sigma and the 1.5 (cid:1)shift 41 2.2 The Cpk Approach Versus Six Sigma 42 2.2.1 Cpk and process average shift 43 2.2.2 Negative Cpk 44 2.2.3 Choosing six sigma or Cpk 45 2.2.4 Setting the process capability index 46 2.3 Calculating Defects Using Normal Distribution 47 2.3.1 Relationship between zand Cpk 54 2.3.2 Example defect calculations and Cpk 54 2.3.3 Attribute processes and reject analysis for 57 six sigma 2.4 Are Manufacturing Processes and Supply Parts 59 Always Normally Distributed? 2.4.1 Quick visual check for normality 59 2.4.2 Checking for normality using chi-square tests 60 2.4.3 Example of (cid:2)2goodness of fit to normal 62 distribution test 2.4.4 Transformation data into normal distributions 63 2.4.5 The use of statistical software for 65 normality analysis 2.5 Conclusions 65 2.6 References and Bibliography 66 Chapter 3. Six Sigma and the Manufacturing Control Systems 69 3.1 Manufacturing Variability Measurement and Control 70 3.2 The Control of Variable Processes and Its 72 Relationship with Six Sigma 3.2.1. Variable control chart limits 74 3.2.2 Control chart limits calculations 74 3.2.3 Control and specifications limits 75 3.2.4 X(cid:1), R variable control chart calculations 76 example 3.2.5 Alternate methods for calculating control 78 limits 3.2.6 Control chart guidelines, out-of-control 78 conditions, and corrective action procedures and examples 3.2.7 Examples of variable control chart 82 calculations and their relationship to six sigma 3.3 Attribute charts and their Relationship with 84 Six Sigma Contents ix 3.3.1 The binomial distribution 85 3.3.2 Examples of using the binomial distribution 86 3.3.3 The Poisson distribution 86 3.3.4 Examples of using the Poisson distribution 87 3.3.5 Attribute control charts limit calculations 88 3.3.6 Examples of attribute control charts 89 calculations and their relationship to six sigma 3.3.7 Use of control charts in factories that are 91 approaching six sigma 3.4 Using TQM Techniques to Maintain Six Sigma 91 Quality in Manufacturing 3.4.1 TQM tools definitions and examples 92 3.5 Conclusions 99 3.6 References and Bibliography 99 Chapter 4. The Use of Six Sigma in Determining the 101 Manufacturing Yield and Test Strategy 4.1 Determining Units of Defects 102 4.2 Determining Manufacturing Yield on a Single 104 Operation or a Part with Multiple Similar Operations 4.2.1 Example of calculating yield in a part with 105 multiple operations 4.2.2 Determining assembly yield and PCB and 106 product test levels in electronic products 4.2.3 PCB yield example 107 4.3 Determining Design or Manufacturing Yield on 108 Multiple Parts with Multiple Manufacturing Operations or Design Specifications 4.3.1 Determining first-time yield at the electronic 110 product turn-on level 4.3.2 Example of yield calculations at the PCB 110 assembly level 4.3.3 DPMO methods for standardizing defect 112 measurements 4.3.4 DPMO charts 113 4.3.5 Critique of DMPO methods 115 4.3.6 The use of implied Cpk in product and 116 assembly line manufacturing and planning activities 4.3.7 Example and discussion of implied Cpk in 118 IC assembly line defect projections 4.4 Determining Overall Product Testing Strategy 120