Reliability Engineering : Probabilistic Models and Maintenance Methods, Second Edition.

Cover......Page 1
Half Title......Page 2
Title Page......Page 4
Copyright Page......Page 5
Dedication......Page 6
Table of Contents......Page 8
Preface......Page 14
Author......Page 16
1: Introduction......Page 18
2.1 Status Functions......Page 22
2.2.1 Series Systems......Page 24
2.2.2 Parallel System......Page 25
2.2.3 k-out-of-n Systems......Page 27
2.2.4 Equivalent Structures......Page 29
2.3 Modules of Systems......Page 34
2.4 Multistate Components and Systems......Page 35
Exercises......Page 36
3.1 Probability Elements......Page 40
3.2.1 Series Systems......Page 41
3.2.3 k-out-of-n Systems......Page 42
3.2.4 Equivalent Structures......Page 43
3.3 Modules......Page 48
3.4 Reliability Importance......Page 49
3.5 Reliability Allocation......Page 52
3.6 Conclusion......Page 53
Exercises......Page 54
4.1 Reliability Measures......Page 56
4.2 Life Distributions......Page 61
4.2.1 Exponential Distribution......Page 62
4.2.2 Weibull Distribution......Page 63
4.2.3 Normal Distribution......Page 66
4.2.4 Lognormal Distribution......Page 68
4.2.6 Other Distributions......Page 69
4.3 System-Level Models......Page 71
Exercises......Page 75
5: Failure Processes......Page 78
5.1.1 Stress–Strength Interference......Page 79
5.1.2 Shock and Cumulative Damage......Page 81
5.2.1 Arrhenius Model......Page 88
5.2.4 Defect Model......Page 89
5.3.1 Diffusion Process Model......Page 90
5.3.2 Proportional Hazards......Page 95
5.3.3 Competing Risks......Page 97
Exercises......Page 100
6: Age Acceleration......Page 102
6.1 Age Acceleration for Electronic Devices......Page 104
6.2 Age Acceleration for Mechanical Devices......Page 106
6.3 Step Stress Strategies......Page 109
Exercises......Page 110
7: Nonparametric Statistical Methods......Page 112
7.1 Data Set Notation and Censoring......Page 113
7.2 Estimates Based on Order Statistics......Page 115
7.3 Estimates and Confidence Intervals......Page 116
7.4.1 Continuous Monitoring of Test Unit Status......Page 119
7.4.2 Periodic Monitoring of Test Unit Status......Page 122
7.5 Tolerance Bounds......Page 124
7.6.1 Theoretical Construction......Page 126
7.6.2 Application to Complete Data Sets......Page 130
7.6.3 Application to Censored Data Sets......Page 135
7.7 Nelson Cumulative Hazard Estimation Method......Page 139
Exercises......Page 141
8.1 Graphical Methods......Page 146
8.2 Method of Moments......Page 152
8.2.1 Estimation Expressions......Page 153
8.2.2 Confidence Intervals for the Estimates......Page 156
8.3 Method of Maximum Likelihood......Page 160
8.4 Maximum Likelihood Method with Data Censoring......Page 176
8.5.1 Method of Moments with Censored Data......Page 178
8.5.2 Data Analysis under Step Stress Testing......Page 181
Exercises......Page 184
9: Repairable Systems I: Renewal and Instantaneous Repair......Page 190
9.1 Renewal Processes......Page 191
9.2 Classification of Distributions and Bounds on Renewal Measures......Page 198
9.3 Residual Life Distribution......Page 203
9.4 Conclusion......Page 206
Exercises......Page 207
10: Repairable Systems II: Nonrenewal and Instantaneous Repair......Page 210
10.1 Minimal Repair Models......Page 211
10.2 Imperfect Repair Models......Page 217
10.3.1 Kijima Models......Page 220
10.3.2 Quasi-Renewal Process......Page 227
Exercises......Page 231
11: Availability Analysis......Page 234
11.1 Availability Measures......Page 237
11.2.1 Exponential Case......Page 240
11.2.2 Numerical Case......Page 242
11.3 System-Level Availability......Page 244
11.4 Nonrenewal Cases......Page 249
11.4.1 Availability under Imperfect Repair......Page 250
11.4.2 Availability Analysis for the Quasi-Renewal Model......Page 252
11.5 Markov Models......Page 256
Exercises......Page 262
12: Preventive Maintenance......Page 264
12.1.1 Elementary Models......Page 265
12.1.2 Availability Model for Age Replacement......Page 270
12.1.3 Availability Model for Block Replacement......Page 272
12.1.4 Availability Model for Opportunistic Age Replacement......Page 274
12.1.4.1 Failure Model......Page 279
12.1.4.2 Opportunistic Failure Replacement Policy......Page 282
12.1.4.3 Partial Opportunistic Age Replacement Policy......Page 285
12.1.4.5 Analysis of the Opportunistic Replacement Models......Page 288
12.2 Nonrenewal Models......Page 291
12.2.1 Imperfect PM Models......Page 292
12.2.2 Models Based on the Quasi-Renewal Process......Page 294
12.2.3 Models Based on the Kijima Model......Page 298
12.3 Conclusion......Page 300
Exercises......Page 301
13: Predictive Maintenance......Page 304
13.1 System Deterioration......Page 305
13.2 Inspection Scheduling......Page 306
13.3 More Complete Policy Analysis......Page 307
13.4.1 Observable Degradation Processes......Page 311
13.4.2 Unobservable Degradation Processes......Page 314
13.4.2.1 Time Series Methods......Page 315
13.4.2.2 Conditional Probability Methods......Page 317
13.5 Conclusion......Page 321
Exercises......Page 322
14.1.1 Data from a Single System......Page 324
14.1.2 Data from Multiple Identical Systems......Page 327
14.2 Warranties......Page 331
14.2.1 Full Replacement Warranties......Page 332
14.2.2 Pro Rata Warranties......Page 334
14.3 Reliability Growth......Page 336
14.4 Dependent Components......Page 340
14.5 Bivariate Reliability......Page 342
14.5.1 Collapsible Models......Page 343
14.5.2.1 Stochastic Functions......Page 344
14.5.2.2 Correlation Models......Page 347
14.5.2.3 Probability Analysis......Page 348
14.5.2.4 Failure and Renewal Models......Page 352
Exercises......Page 358
Appendix A: Numerical Approximations......Page 360
Appendix B: Numerical Evaluation of the Weibull Renewal Functions......Page 364
Appendix C: Laplace Transform for the Key Renewal Theorem......Page 370
Appendix D: Probability Tables......Page 372
References......Page 376
Index......Page 382