Foreword |
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ix | |
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Foreword |
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xi | |
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Acknowledgments |
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xiii | |
Introduction |
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xv | |
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xxi | |
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xxiii | |
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Chapter 1 Reliability of Systems Without Maintenance |
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1 | (40) |
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1.1 Classification of systems |
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4 | (1) |
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1.1.1 Maintenance-free systems |
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4 | (1) |
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1.1.2 Systems with maintenance |
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4 | (1) |
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1.2 Principal quantities of reliability |
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4 | (10) |
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1.2.1 The probability density |
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5 | (2) |
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1.2.2 The probability of failure |
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7 | (1) |
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1.2.3 The survival function |
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8 | (1) |
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1.2.4 The instantaneous failure rate |
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9 | (1) |
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1.2.5 The mode of a distribution |
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10 | (1) |
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1.2.6 The cumulative failure rate |
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11 | (1) |
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1.2.7 Links between different functions |
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11 | (1) |
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12 | (1) |
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12 | (2) |
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1.3 The main distributions |
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14 | (17) |
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1.3.1 The exponential distribution |
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14 | (3) |
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1.3.2 The Weibull distribution |
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17 | (9) |
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1.3.3 Normal distribution |
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26 | (2) |
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1.3.4 The log-normal distribution |
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28 | (3) |
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31 | (10) |
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1.4.1 Theoretical basis of JESD85 |
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31 | (4) |
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1.4.2 Problem when there are no observed failures |
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35 | (1) |
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1.4.3 Theoretical analysis |
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36 | (2) |
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1.4.4 Example of a HTOL test on integrated circuits |
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38 | (3) |
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Chapter 2 Reliability of Systems with Maintenance |
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41 | (30) |
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41 | (2) |
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2.2 Different types of maintenance |
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43 | (2) |
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2.3 Preventive maintenance |
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45 | (8) |
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2.3.1 General formulation |
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45 | (2) |
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2.3.2 Formulation for accidental failures |
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47 | (1) |
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2.3.3 Formulation for aging failures |
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47 | (6) |
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2.4 Corrective maintenance |
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53 | (18) |
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53 | (1) |
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53 | (3) |
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2.4.3 Analytical solutions |
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56 | (15) |
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Chapter 3 Application to Aging Mechanisms with Maintenance |
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71 | (58) |
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71 | (1) |
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3.2 Approximate solutions |
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72 | (19) |
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3.2.1 The stabilization time of the Rocof is very low compared to the operational period |
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72 | (2) |
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3.2.2 The asymptotic value of the Rocof is never reached |
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74 | (2) |
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76 | (15) |
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91 | (14) |
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3.3.1 Mix of distributions |
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91 | (1) |
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3.3.2 Competitive mechanisms |
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92 | (3) |
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95 | (2) |
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97 | (6) |
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3.3.5 "K/n" redundancy systems |
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103 | (1) |
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104 | (1) |
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3.4 Impact of physical factors |
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105 | (3) |
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3.5 Impact of the mission profile |
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108 | (21) |
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3.5.1 Sedyakin's principle |
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109 | (2) |
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3.5.2 Physical equivalent contribution with Sedyakin's principle |
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111 | (12) |
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3.5.3 Case of a heterogeneous profile |
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123 | (6) |
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Chapter 4 Impact at the Reliability Level |
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129 | (20) |
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129 | (1) |
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130 | (4) |
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4.3 Impact of the delivery flow |
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134 | (1) |
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4.4 Example of a digital component with a fine engraving size |
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135 | (7) |
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4.4.1 Case where the Weibull shape parameter is equal to 1 |
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135 | (3) |
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4.4.2 Case where the shape parameter is not equal to 1 |
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138 | (4) |
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4.5 Application at the cost of a burn-in |
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142 | (7) |
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4.5.1 Cases where no burn-in is done |
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143 | (1) |
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4.5.2 Cases where a burn-in is done |
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144 | (5) |
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Chapter 5 Application to Maintenance |
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149 | (20) |
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152 | (3) |
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5.2 BTN maintenance "Better than New" |
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155 | (3) |
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5.3 WTO "Worse than Old" maintenance |
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158 | (1) |
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5.4 Maintenance by attrition |
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159 | (2) |
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5.5 Maintenance on a complete subset |
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161 | (5) |
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5.5.1 Cases where we replace the defective system with a new one |
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162 | (1) |
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5.5.2 Cases where we replace the complete system with a new one |
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163 | (3) |
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5.6 Systems with k/n redundancy |
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166 | (3) |
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5.6.1 Cases where we replace the defective system with a new one |
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166 | (1) |
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5.6.2 Cases where we replace the complete system |
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167 | (2) |
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Chapter 6 Application to Safety |
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169 | (18) |
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6.1 Estimation of exposure time |
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170 | (1) |
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6.2 Case of components with aging |
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171 | (16) |
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6.2.1 Theoretical approach for systems with maintenance |
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172 | (1) |
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6.2.2 Case of catastrophic failures |
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172 | (1) |
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6.2.3 Case of aging failures |
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173 | (7) |
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180 | (3) |
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183 | (4) |
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Chapter 7 Maintenance Strategy in Operational Safety |
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187 | (6) |
Appendix |
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193 | (4) |
References |
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197 | (2) |
Index |
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199 | |