| Preface |
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| Course Software |
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1 | (22) |
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The Study of Reliability and Maintainability |
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3 | (2) |
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Random versus Deterministic Failure Phenomena |
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Concepts, Terms, and Definitions |
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5 | (2) |
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7 | (3) |
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10 | (1) |
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11 | (12) |
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Appendix 1A A Probability Primer |
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13 | (10) |
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PART 1 Basic Reliability Models |
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23 | (18) |
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23 | (3) |
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26 | (2) |
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28 | (3) |
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31 | (1) |
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32 | (2) |
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34 | (7) |
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Appendix 2A Derivation of Equation (2.8) |
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35 | (1) |
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Appendix 2B Derivation of Equation (2.12) |
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36 | (1) |
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Appendix 2C Conditional Reliability and Failure Rates |
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36 | (1) |
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Appendix 2D Intermediate Calculations for the Linear Bathtub Curve |
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37 | (1) |
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Appendix 2E Table of Integrals |
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38 | (1) |
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38 | (3) |
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Constant Failure Rate Model |
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41 | (17) |
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The Exponential Reliability Function |
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41 | (4) |
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45 | (2) |
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Failure Modes with CFR Model |
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47 | (4) |
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The Two-Parameter Exponential Distribution |
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51 | (1) |
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52 | (2) |
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Redundancy and the CFR Model |
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54 | (4) |
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55 | (3) |
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Time-Dependent Failure Models |
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58 | (25) |
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58 | (11) |
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Design Life, Median, and Mode |
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Burn-In Screening for Weibull |
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Identical Weibull Components |
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The Three-Parameter Weibull |
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Redundancy with Weibull Failures |
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69 | (4) |
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The Lognormal Distribution |
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73 | (10) |
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Appendix 4A Derivation of the MTTF for the Weibull Distribution |
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77 | (1) |
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Appendix 4B Derivation of the Mode for the Weibull Distribution |
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78 | (1) |
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Appendix 4C Minimum Extreme-Value Distribution |
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78 | (1) |
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Appendix 4D Hazard Rate for the Two-Component Weibull Redundant System |
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79 | (1) |
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79 | (4) |
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83 | (25) |
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83 | (2) |
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85 | (2) |
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Combined Series-Parallel Systems |
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87 | (6) |
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High-Level versus Low-Level Redundancy |
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System Structure Function, Minimal Cuts, and Minimal Paths (Optional) |
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93 | (4) |
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Minimal Path and Cut Sets |
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97 | (1) |
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98 | (10) |
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102 | (6) |
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108 | (16) |
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108 | (3) |
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111 | (1) |
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112 | (5) |
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Standby System with Switching Failures |
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Three-Component Standby System |
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117 | (1) |
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118 | (6) |
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Appendix 6A Solution to Two-Component Redundant System |
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119 | (1) |
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Appendix 6B Solution to Load-Sharing System |
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120 | (1) |
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Appendix 6C Solution to Standby System Model |
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120 | (1) |
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121 | (3) |
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Physical Reliability Models |
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124 | (21) |
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124 | (4) |
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Proportional Hazards Models |
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128 | (7) |
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Random Stress and Constant Strength |
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Constant Stress and Random Strength |
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Random Stress and Random Strength |
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135 | (2) |
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Random Fixed Stress and Strength |
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Physics-of-Failure Models |
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137 | (8) |
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141 | (4) |
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145 | (44) |
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Reliability Specification and System Measurements |
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147 | (4) |
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Economic Analysis and Life-Cycle Costs |
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151 | (6) |
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157 | (9) |
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Parts and Material Selection |
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Complexity and Technology |
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166 | (6) |
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Identification of Failure Modes |
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Classification of Severity |
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Estimation of Probability of Occurrence |
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Computation of Criticality Index |
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Determination of Corrective Action |
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System Safety and Fault Tree Analysis |
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172 | (17) |
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183 | (6) |
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189 | (29) |
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189 | (2) |
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The Repair-Time Distribution |
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191 | (3) |
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Stochastic Point Processes |
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194 | (8) |
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202 | (2) |
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Reliability under Preventive Maintenance |
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204 | (3) |
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State-Dependent Systems with Repair |
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207 | (11) |
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Appendix 9A The MTTF for the Preventive Maintenance Model |
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211 | (1) |
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Appendix 9B Solution to the Active Redundant System with Repair |
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211 | (1) |
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Appendix 9C Solution to Standby System with Repair |
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212 | (1) |
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213 | (5) |
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Design for Maintainability |
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218 | (36) |
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219 | (6) |
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Measurements and Specifications |
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Maintenance Concepts and Procedures |
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Component Reliability and Maintainability |
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225 | (10) |
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Fault Isolation and Self-Diagnostics |
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Parts Standardization and Interchangeability |
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Modularization and Accessibility |
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Repair versus Replacement |
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Human Factors and Ergonomics |
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235 | (2) |
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Maintenance and Spares Provisioning |
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237 | (7) |
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Finite Population Queuing Model with Spares |
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Maintainability Prediction and Demonstration |
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244 | (10) |
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Maintainability Prediction |
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Maintainability Demonstration |
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Appendix 10A Birth-Death Queuing Model |
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248 | (2) |
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250 | (4) |
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254 | (29) |
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254 | (3) |
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Generalized Operational Availability |
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Exponential Availability Model |
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257 | (1) |
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258 | (6) |
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Availability with Standby Systems |
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Steady-State Availability |
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Inspection and Repair Availability Model |
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264 | (2) |
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Design Trade-Off Analysis |
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266 | (17) |
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Maintainability Allocation |
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Profit and Life-Cycle Cost Trade-Offs |
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Appendix 11A Solution to Single Unit with Repair Model |
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275 | (1) |
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275 | (8) |
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PART 2 The Analysis of Failure Data |
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Data Collection and Empirical Methods |
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283 | (25) |
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283 | (3) |
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286 | (16) |
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302 | (6) |
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303 | (5) |
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308 | (34) |
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308 | (1) |
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309 | (1) |
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310 | (2) |
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312 | (3) |
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315 | (8) |
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Binomial Acceptance Testing |
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323 | (8) |
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Other Acceleration Models |
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331 | (4) |
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335 | (7) |
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Appendix 13A Derivation of Expected Test Time |
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336 | (1) |
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Appendix 13B Expected Test Time (Type II Testing) |
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337 | (1) |
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338 | (4) |
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Reliability Growth Testing |
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342 | (16) |
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Reliability Growth Process |
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342 | (1) |
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343 | (2) |
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345 | (4) |
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349 | (4) |
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Parameter Estimation for the Power Law Intensity Function |
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353 | (5) |
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355 | (3) |
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Identifying Failure and Repair Distributions |
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358 | (34) |
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Identifying Candidate Distributions |
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359 | (3) |
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Probability Plots and Least-Squares Curve-Fitting |
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362 | (12) |
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Multiply Censored Time Plots |
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374 | (8) |
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Maximum Likelihood Estimator |
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Normal and Lognormal MLEs |
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Maximum Likelihood Estimation with Multiply Censored Data |
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Location Parameter Estimation |
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382 | (3) |
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Confidence Intervals for the Constant Failure Rate Model |
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Confidence Intervals for Other Distributions |
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Parameter Estimation for Covariate Models |
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385 | (7) |
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Appendix 15A Weibull Maximum Likelihood Estimator |
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387 | (1) |
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Appendix 15B Weibull MLE with Multiply Censored Data |
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388 | (1) |
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Appendix 15C MLE for Normal and Lognormal Distributions with Censored Data |
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388 | (1) |
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389 | (3) |
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392 | (21) |
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Chi-Square Goodness-of-Fit Test |
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393 | (6) |
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Bartlett's Test for the Exponential Distribution |
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399 | (1) |
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Mann's Test for the Weibull Distribution |
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400 | (2) |
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Kolmogorov-Smirnov Test for Normal and Lognormal Distributions |
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402 | (2) |
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Tests for the Power-Law Process Model |
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404 | (3) |
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407 | (6) |
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408 | (5) |
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Reliability Estimation and Application |
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413 | (16) |
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413 | (2) |
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415 | (3) |
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Case 3: Preventive Maintenance Analysis |
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418 | (3) |
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Case 4: Reliability Allocation |
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421 | (2) |
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Case 5: Reliability Growth Testing |
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423 | (1) |
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Case 6: Repairable System Analysis |
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424 | (2) |
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Case 7: Multiply Censored Data |
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426 | (3) |
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428 | (1) |
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429 | (20) |
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Objectives, Functions, and Processes |
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429 | (1) |
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The Economics of Reliability and Maintainability and System Design |
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430 | (7) |
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Organizational Considerations |
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437 | (2) |
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Data Sources and Data Collection Methods |
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439 | (6) |
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Process Reliability and Operational Failures |
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Product Liability, Warranties, and Related Matters |
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445 | (2) |
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447 | (2) |
| References |
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449 | (6) |
| Appendix |
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455 | (24) |
| Index |
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