Title Page
Contents
List of Symbols 14
논문요약 17
CHAPTER 1. INTRODUCTION 20
1.1. Purpose and Background of the Study 20
1.2. Study Method 22
1.3. Study Scope and Organization of This Dissertation 23
CHAPTER 2. Relevant Study Trend for the Process Control Scheme Combining the Process Mean and Fraction Nonconforming 25
2.1. X Control Chart(이미지참조) 25
2.2. Modified Control Chart 26
2.3. CUSUM Control Chart 29
2.4. Accelerated Life Test 30
2.5. Relevant Study Trend for Process Mean and Fraction Nonconforming 34
CHAPTER 3. A Simultaneous Control Scheme for Process Mean and Fraction Nonconforming in Small Process Variation 37
3.1. Introduction 37
3.2. Design of the ZP Control Chart(이미지참조) 38
3.3. Performance of the ZP Control Chart(이미지참조) 43
3.4. Simultaneous Control Scheme for Process Mean and Fraction Nonconforming 52
3.5. ZP Control Chart Case Study(이미지참조) 64
CHAPTER 4. ZP CUSUM Control Chart for Very Small Fraction Nonconforming(이미지참조) 69
4.1. Introduction 69
4.2. Design of the ZP CUSUM Control Chart(이미지참조) 70
4.3. Performance of the ZP CUSUM Control Chart(이미지참조) 72
4.4. Comparison between the ZP CUSUM Control Chart and the ZP Control Chart(이미지참조) 81
4.5. ZP CUSUM Control Chart Case Study(이미지참조) 83
CHAPTER 5. ALT Control Chart for Very Small Fraction Nonconforming of Reliability Characteristic 87
5.1. Introduction 87
5.2. ALT Model 88
5.3. Distribution of ALT X(이미지참조) 89
5.4. Design of the ALT Control Chart 91
5.5. Performance of the ALTX Control Chart(이미지참조) 95
5.6. ALT X Control Chart Case Study(이미지참조) 102
CHAPTER 6. Conclusion 107
REFERENCES 110
APPENDICES 113
〈Table 3.1〉 Average run length for the ZP control chart (ZP0 and δ)(이미지참조) 44
〈Table 3.2〉 Average run length for the ZP control chart (ZP0 and ZP1)(이미지참조) 51
〈Table 3.3〉 Average run length for the ZP control chart and the modified control chart(이미지참조) 55
〈Table 4.1〉 ARL, h, and k for the ZP CUSUM control chart (ZP0=-5.0, -6.0)(이미지참조) 74
〈Table 4.2〉 ARL, h, and k for the ZP CUSUM control chart (ZP0=-7.0, -8.0)(이미지참조) 75
〈Table 4.3〉 ARL, h, and k for the ZP CUSUM control chart (ZP0=-9.0, -10.0)(이미지참조) 76
〈Table 4.4〉 A Comparison the performance of the ZP CUSUM control chart with that of the ZP control chart. (ZP0=-5.0, -7.0, n=5, 10, 30)(이미지참조) 83
〈Figure 2.1〉 The need for controlling process mean 25
〈Figure 2.2〉 Control limits on a modified control chart 28
〈Figure 3.1〉 The distribution of X, X and ZP(이미지참조) 41
〈Figure 3.2〉 Control limits on the ZP control chart(이미지참조) 42
〈Figure 3.3〉 Operating-characteristic curves for the ZP control chart with ZP0=-5.0(이미지참조) 46
〈Figure 3.4〉 Operating-characteristic curves for the ZP control chart with ZP0=-6.0(이미지참조) 47
〈Figure 3.5〉 Operating-characteristic curves for the ZP control chart with ZP0=-7.0(이미지참조) 48
〈Figure 3.6〉 Operating-characteristic curves for the ZP control chart with ZP0=-8.0(이미지참조) 49
〈Figure 3.7〉 Operating-characteristic curves for the ZP control chart with ZP0=-9.0(이미지참조) 50
〈Figure 3.8〉 The average run length comparison with ZP0=-7.0(이미지참조) 56
〈Figure 3.9〉 Operating-characteristic curves for the ZP control chart with ZP0=-5.0 and the modified control chart(이미지참조) 57
〈Figure 3.10〉 Operating-characteristic curves for the ZP control chart with ZP0=-7.0 and the modified control chart(이미지참조) 58
〈Figure 3.11〉 Operating-characteristic curves for the ZP control chart with ZP0=-9.0 and the modified control chart(이미지참조) 59
〈Figure 3.12〉 LX for the modified control chart with ARL0 ≥ 391.4 and ARL₁=1.0 where the process mean shift by δσ(이미지참조) 60
〈Figure 3.13〉 Unacceptable process fraction nonconforming P₁ and ZP0 (the ZP control chart with LZP=2.8, ARL0 ≥ 391.4, ARL₁=1.0)(이미지참조) 62
〈Figure 3.14〉 A combined control chart of the process mean and fraction nonconforming 63
〈Figure 3.15〉 Wire bonding 65
〈Figure 3.16〉 A modified control chart for the ball shear test 66
〈Figure 3.17〉 A simultaneous control scheme for process mean and fraction nonconforming 67
〈Figure 4.1〉 ARL₁ for the ZP CUSUM control chart (P₁=5ppm, ARL0=371)(이미지참조) 78
〈Figure 4.2〉 ARL₁ for the ZP CUSUM control chart (P₁=10ppm, ARL0=371)(이미지참조) 78
〈Figure 4.3〉 ARL₁ for the ZP CUSUM control chart (P₁=100ppm, ARL0=371)(이미지참조) 79
〈Figure 4.4〉 ARL₁ for the ZP CUSUM control chart (P₁=1000ppm, ARL0=371)(이미지참조) 79
〈Figure 4.5〉 ARL₁ for the ZP CUSUM control chart (P₁=5000ppm, ARL0=371)(이미지참조) 80
〈Figure 4.6〉 ARL₁ for the ZP CUSUM control chart (P₁=10000ppm, ARL0=371)(이미지참조) 80
〈Figure 4.7〉 The X trend chart for bond pull test(이미지참조) 86
〈Figure 4.8〉 The ZP CUSUM control chart for bond pull test(이미지참조) 86
〈Figure 5.1〉 A simultaneous control scheme with ALTX control chart and ZP control chart (LSL)(이미지참조) 94
〈Figure 5.2〉 Operating-characteristic curves for the ALTX control chart with LALTX=2.8 and (Q11)/Det[F₁]=1.0(이미지참조) 96
〈Figure 5.3〉 Operating-characteristic curves for the ALTX control chart with LALTX=2.8 and (Q11)/Det[F₁]=2.0(이미지참조) 97
〈Figure 5.4〉 Operating-characteristic curves for the ALTX control chart with LALTX=2.8 and (Q11)/Det[F₁]=3.0(이미지참조) 97
〈Figure 5.5〉 Operating-characteristic curves for the ALTX control chart with LALTX=2.8 and (Q11)/Det[F₁]=4.0(이미지참조) 98
〈Figure 5.6〉 Operating-characteristic curves for the ALTX control chart with LALTX=2.8 and (Q11)/Det[F₁]=5.0(이미지참조) 98
〈Figure 5.7〉 Operating-characteristic curves for the ALTX control chart with LALTX=2.8 and (Q11)/Det[F₁]=6.0(이미지참조) 99
〈Figure 5.8〉 The parameters of ALTX control chart with ARL0=391.4, ARL₁=1.0(이미지참조) 100
〈Figure 5.9〉 The parameters of ALTX control chart with ARL0=391.4, ARL₁=3.0(이미지참조) 100
〈Figure 5.10〉 The parameters of ALTX control chart with ARL0=391.4, ARL₁=5.0(이미지참조) 101
〈Figure 5.11〉 The parameters of ALTX control chart with ARL0=391.4, ARL₁=10.0(이미지참조) 101
〈Figure 5.12〉 Trend chart for EMC failure time through ALT 104
〈Figure 5.13〉 A combined control chart with ALTX control chart and ZP control chart(이미지참조) 106
〈Figure B.1.1〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-5.0, n=5)(이미지참조) 121
〈Figure B.1.2〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-5.0, n=10)(이미지참조) 122
〈Figure B.1.3〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-5.0, n=30)(이미지참조) 122
〈Figure B.1.4〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-5.0, n=50)(이미지참조) 123
〈Figure B.1.5〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-7.0, n=5)(이미지참조) 123
〈Figure B.1.6〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-7.0, n=10)(이미지참조) 124
〈Figure B.1.7〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-7.0, n=30)(이미지참조) 124
〈Figure B.1.8〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-7.0, n=50)(이미지참조) 125
〈Figure B.1.9〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-9.0, n=5)(이미지참조) 125
〈Figure B.1.10〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-9.0, n=10)(이미지참조) 126
〈Figure B.1.11〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-9.0, n=30)(이미지참조) 126
〈Figure B.1.12〉 ARL₁ for the ZP control chart and the ZP CUSUM control chart (ZP0=-9.0, n=50)(이미지참조) 127