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Quality Engineering: Off-Line Methods and Applications PDF

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IndustrIal EngInEErIng & ManufacturIng S Quality u Read the Reviews Engineering “This book provides a high-quality reference for all engineers who wish to apply experimental design to actual product and process designs. It is well orga- nized and provides numerous practical examples and case studies that help the reader understand factorial experimental techniques, Taguchi Methods, and other m odern techniques more easily.” Q Off-Line Methods and Applications —grEgory H. Watson, Past-President of ASQ, Past-Chairman of IAQ, and Chairman of Business Excellence Solutions, Ltd. u “During my 30 years in the semiconductor industry I have witnessed quality a engineering methods become widely applied to shorten R&D cycle time, optimize product/process parameters, and save cost. This book provides the complete l structure of quality engineering with plenty of practical cases. It will help readers i t to learn these methods quickly and contribute to business success.” y —long-cHIn tu, Vice President, Taiwan Semiconductor Manufacturing Company “Quality engineering methods are commonly used in industry to upgrade the E quality level. This book is well written and is of great interest both to students and professionals wishing to develop or expand their knowledge of quality n engineering. It contains clear presentation and practical implementation that a re often missing from other texts.” g —fugEE tsung, Hong Kong University of Science and Technology i “Unimicron has learned how to use quality engineering approaches (both the n DOE and Taguchi methods) that can reduce variation and enhance a product’s e quality. This book aims to demonstrate the power of these approaches and shows how these methods can be implemented in either a manufacturing or nonmanu- e facturing organization. The payback in customer satisfaction and growth will be dramatic when these approaches are carefully conducted.” r —tzyy-Jang tsEng, Chairman, Unimicron Technology Corporation i n “Professor Su has extensive experience contending with problems regarding g quality in the manufacturing and service industries and has made eminent contributions to the field of quality engineering. I believe that he is one of the best-qualified persons to author a book on quality engineering.” —norIakI kano, Tokyo University of Science Chao-Ton Su K16440 ISBN: 978-1-4665-6947-8 90000 9 781466 569478 K16440_Cover_mech.indd 1 1/4/13 11:46 AM Quality Engineering Off-Line Methods and Applications Quality Engineering Off-Line Methods and Applications Chao-Ton Su National Tsing Hua University Taiwan Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2013 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20130109 International Standard Book Number-13: 978-1-4665-6948-5 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the valid- ity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or uti- lized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopy- ing, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http:// www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface ..............................................................................................................................................xi Acknowledgments ........................................................................................................................xv Author ..........................................................................................................................................xvii Chapter 1 Introduction ..............................................................................................................1 1.1 Quality....................................................................................................................................1 1.1.1 The meaning of quality .........................................................................................1 1.1.2 Quality activities .....................................................................................................3 1.2 Robust design ........................................................................................................................4 1.3 Quality engineering .............................................................................................................6 1.3.1 Overview .................................................................................................................6 1.3.2 Taguchi’s quality engineering ..............................................................................6 1.4 Structure of this book ..........................................................................................................7 References ........................................................................................................................................8 Chapter 2 Fundamentals of experimental design ..............................................................11 2.1 Basic principle .....................................................................................................................11 2.2 Factorial experiments .........................................................................................................13 2.2.1 Single-factor experiment......................................................................................13 2.2.1.1 An example ...........................................................................................13 2.2.1.2 Statistical analysis ................................................................................14 2.2.2 Two-factor experiment .........................................................................................18 2.3 Two-level full factorial design ..........................................................................................21 2.3.1 Introduction of 2k design .....................................................................................21 2.3.2 Data analysis for two-level full factorial experiment ......................................22 2.3.2.1 The 22 design.........................................................................................22 2.3.2.2 The 23 design .........................................................................................28 2.4 Two-level fractional factorial design ................................................................................32 2.4.1 One-half fraction of 2k factorial design ..............................................................32 2.4.2 The 2k−p fractional factorial design .....................................................................36 2.5 Three-level factorial design ...............................................................................................37 2.6 Steps of DOE project...........................................................................................................39 References ......................................................................................................................................43 Chapter 3 Principles of quality engineering.......................................................................45 3.1 Taguchi’s perspectives .......................................................................................................45 3.1.1 General philosophy ..............................................................................................45 3.1.2 Unique points ........................................................................................................46 v vi Contents 3.2 Noise factors ........................................................................................................................47 3.3 Relationship between quality characteristics and parameters ....................................48 3.4 Classification of parameters ..............................................................................................49 3.4.1 Signal factors .........................................................................................................49 3.4.2 Control factors .......................................................................................................49 3.4.3 Noise factors ..........................................................................................................50 3.5 Three phases of quality engineering ...............................................................................51 3.5.1 System design ........................................................................................................51 3.5.2 Parameter design ..................................................................................................52 3.5.3 Tolerance design ...................................................................................................52 3.6 Two-step optimization procedure ....................................................................................54 References ......................................................................................................................................55 Chapter 4 Utilization of orthogonal arrays .........................................................................57 4.1 Introduction to orthogonal arrays ....................................................................................57 4.1.1 Orthogonal arrays ................................................................................................57 4.1.2 Orthogonality ........................................................................................................59 4.2 Use of orthogonal arrays ...................................................................................................60 4.3 Interaction ............................................................................................................................64 4.4 Linear graphs ......................................................................................................................65 4.5 Orthogonal arrays and fractional factorial designs ......................................................67 4.6 Special techniques for modifying orthogonal arrays ...................................................68 4.6.1 Column-merging method....................................................................................68 4.6.2 Branching design ..................................................................................................68 4.6.3 Dummy-level technique ......................................................................................71 4.6.4 Compound factor method ...................................................................................72 4.7 Summary .............................................................................................................................73 References ......................................................................................................................................76 Chapter 5 Quality loss function and static signal-to-noise ratios ..................................77 5.1 The concept of quality loss ................................................................................................77 5.2 Taguchi’s quality loss .........................................................................................................80 5.2.1 Taguchi’s definition of quality ............................................................................80 5.2.2 Loss function .........................................................................................................80 5.3 Types of quality loss functions .........................................................................................82 5.3.1 The nominal-the-best case ...................................................................................83 5.3.2 The smaller-the-better case .................................................................................86 5.3.3 The larger-the-better case ....................................................................................86 5.3.4 The asymmetric nominal-the-best loss function .............................................87 5.4 SN ratio .................................................................................................................................88 5.4.1 Introduction ...........................................................................................................88 5.4.2 Basic definition of SN ratio ..................................................................................88 5.5 SN ratios for static problems .............................................................................................91 5.5.1 The smaller-the-better type SN ratio .................................................................92 5.5.2 The larger-the-better type SN ratio ....................................................................93 5.5.3 The nominal-the-best type SN ratio ..................................................................94 5.5.4 Signed target type SN ratio .................................................................................98 References ....................................................................................................................................100 Contents vii Chapter 6 Parameter design for static characteristics .....................................................101 6.1 The experiment setup of parameter design ..................................................................102 6.2 Procedures of static parameter design ..........................................................................104 6.2.1 Steps of static parameter design .......................................................................104 6.2.2 Taguchi’s two-step optimization procedure ...................................................105 6.3 Data analysis of parameter optimization experiment ................................................108 6.3.1 Estimation of control factor effects ..................................................................108 6.3.2 Analysis of variance ...........................................................................................110 6.3.3 Prediction and confirmation .............................................................................114 6.4 The issue of interactions ..................................................................................................117 6.5 Examples of parameter design with static characteristics ..........................................118 6.6 Case studies of parameter design with static characteristics .....................................127 6.6.1 Case study: Optimization of Cu wire bonding process for IC assembly .........127 6.6.1.1 The problem ........................................................................................127 6.6.1.2 Implementation of Taguchi methods for Cu wire bonding .........128 6.6.1.3 Comparison of cost savings..............................................................131 6.6.2 Case study: Optimization of optical performance of broadband tap coupler ..................................................................................................................131 6.6.2.1 The problem ........................................................................................131 6.6.2.2 Implementation of Taguchi methods for improving tap coupler optical performance ............................................................132 6.6.2.3 A comparison .....................................................................................136 6.7 Operating window ...........................................................................................................136 6.8 Computer-aided parameter design ................................................................................140 6.9 Analysis of discrete data .................................................................................................150 6.9.1 SN ratio for fraction defective type problem ..................................................150 6.9.2 Analysis of ordered categorical data ...............................................................154 References ....................................................................................................................................163 Chapter 7 Parameter design for dynamic characteristics ...............................................165 7.1 Introduction .......................................................................................................................165 7.2 Basic SN ratios for dynamic problems ...........................................................................168 7.2.1 Zero-point proportional equation ....................................................................168 7.2.1.1 Dynamic-type SN ratio .....................................................................169 7.2.1.2 Dynamic-type SN ratio calculation .................................................169 7.2.1.3 Taguchi’s dynamic-type SN ratio ....................................................175 7.2.2 Reference-point proportional equation ...........................................................177 7.2.3 Linear equation ...................................................................................................179 7.3 Procedures of dynamic parameter design ....................................................................181 7.3.1 Steps of dynamic parameter design .................................................................182 7.3.2 Two-step optimization procedure for dynamic problems ...........................182 7.4 Examples of parameter design with dynamic characteristics ...................................184 7.5 Case studies of parameter design with dynamic characteristics ..............................187 7.5.1 Case study: Improvement of measurement accuracy of blood glucose strip .......................................................................................................................188 7.5.1.1 The problem ........................................................................................188 7.5.1.2 Implementation ..................................................................................188 7.5.1.3 Comparison ........................................................................................190 viii Contents 7.5.2 Case study: Optimization of optical whiteness ratio for flexible display ............................................................................................................191 7.5.2.1 The problem ........................................................................................191 7.5.2.2 Implementation ..................................................................................192 7.5.2.3 Comparison ........................................................................................201 7.6 Other types of dynamic problems .................................................................................201 7.6.1 When true values of signal factor levels are unknown ................................201 7.6.2 When ideal functions are not linear ................................................................203 7.6.3 When input is not confined to one signal factor ............................................205 7.6.4 When no noise exists ..........................................................................................207 References ....................................................................................................................................210 Chapter 8 Implementing parameter design ......................................................................211 8.1 Analysis in planning stage ..............................................................................................211 8.1.1 Project scope ........................................................................................................211 8.1.2 Energy transformation .......................................................................................212 8.1.3 Ideal function ......................................................................................................212 8.1.4 Measure of response ..........................................................................................213 8.1.5 P-diagram ............................................................................................................213 8.2 Selection of quality characteristic ..................................................................................214 8.2.1 Four different levels of quality proposed by Taguchi ...................................214 8.2.2 Guidelines for selecting quality characteristics .............................................214 8.2.2.1 Continuous and easy to measure ....................................................215 8.2.2.2 Absolute zero ......................................................................................215 8.2.2.3 Additive or monotonic ......................................................................215 8.2.2.4 Complete .............................................................................................216 8.2.2.5 Fundamental .......................................................................................216 8.3 Selection of noise and control factors ............................................................................217 8.3.1 Selection of noise factors ....................................................................................217 8.3.2 Selection of control factors ................................................................................217 8.3.3 Control and noise factors in product development cycle .............................218 8.4 Differences between Taguchi methods and classical experimental design ............218 8.4.1 Purpose of the experiment ................................................................................219 8.4.2 Response ..............................................................................................................219 8.4.3 Modeling ..............................................................................................................220 8.4.4 Interactions between control factors ................................................................220 8.4.5 Experimental bias ...............................................................................................220 8.4.6 Experimental layout ...........................................................................................221 8.4.7 Significance tests .................................................................................................221 References ....................................................................................................................................222 Chapter 9 Tolerance design ...................................................................................................223 9.1 Concepts of tolerance design ..........................................................................................223 9.2 Procedures of tolerance design .......................................................................................225 References ....................................................................................................................................232 Chapter 10 Mahalanobis–Taguchi system ...........................................................................233 10.1 Mahalanobis distance ......................................................................................................233 10.2 Feature selection ...............................................................................................................237

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