Recent advances in system reliability : signatures, multi-state systems and statistical inference

✍ Scribed by Anatoly Lisnianski; Ilia Frenkel, Ph.D (eds.)

• Publisher: Springer
• Year: 2012
• Tongue: English
• Leaves: 323
• Series: Springer series in reliability engineering
• Category: Library

✦ Synopsis

1. Signature Representation and Preservation Results for Engineered Systems and Applications to Statistical Inference.- 2. Using D-Spectra in Network Monte Carlo: Estimation of System Reliability and Component Importance.- 3. Signatures and Symmetry Properties of Coherent Systems.- 4. Multidimensional Spectra of Multistate Systems with Binary Components.- 5. Applications of Samaniego Signatures to Bounds on Variances of Coherent and Mixed System Lifetimes.- 6. Lz-Transform for a Discrete-state Continuous-Time Markov Process and Its Applications to Multi-state System Reliability.- 7. Reliability Decisions for Supermarket Refrigeration System by Using Combined Stochastic Process and Universal Generating Function Method: Case Study.- 8. Importance Analysis of a Multi-State System Based on Multiple-Valued Logic Methods.- 9. Optimal Replacement and Protection Strategy for Parallel Systems.- 10. Heuristic Optimization Techniques for Determining Optimal Reserve Structure of Power Generating Systems.- 11. Determination of Vital Activities in Reliability Program for Multi-state System by Using House of Reliability.- 12. Multi-State Availability Modeling in Practice.- 13. Reliability Analysis of Redundant Systems with Unimodal Hazard Rate Functions.- 14. Multiobjective Reliability Allocation in Multi-state Systems: Decision Making by Visualization and Analysis of Pareto Fronts and Sets.- 15. Optimal Incomplete Maintenance in Multi-state Systems.- 16. Nonparametric Estimation of Marginal Temporal Functionals in a Multi-state Model.- 17. Frailty or Transformation Models in Survival Analysis and Reliability.- 18. Goodness of Fit Tests for Reliability Modeling.- 19. On the Markov Three-state Progressive Model.- 20. Multi-State Semi-Markov Model of the Operation Reliability.- 21. Reliability of Continuous-State Systems in View of Heavy-Tailed Distributed Performance Features.- 22. On Optimal Control of Systems on Their Life Time

✦ Table of Contents

Cover......Page 1
Recent Advances in System
Reliability......Page 3
Preface......Page 6
Contents......Page 8
Contributors......Page 11
22.1…Introduction and Motivation......Page 14
22.2…Controllable Markov Degradation Model......Page 17
21.3…Four Mechanisms of Heavy-Tail Formation......Page 21
22.2.2 The Process and Control Policy......Page 26
21.3.2 Lognormal Distribution and Multiplicative Generative Models......Page 28
Acknowledgments......Page 33
References......Page 34
Abstract......Page 36
2.2.2 Birnbaum Importance Measure......Page 37
22.3…The Problem Solution......Page 38
22.4…Numerical Examples......Page 39
21.5…Conclusion......Page 42
16.3.3 State Waiting Time Distributions......Page 44
Abstract......Page 45
References......Page 59
Abstract......Page 61
References......Page 72
Abstract......Page 74
References......Page 87
Abstract......Page 89
6.2.1 Definition......Page 92
6.2.2 Existence and Uniqueness......Page 93
Reference......Page 104
Abstract......Page 106
7.3.1 System with 2 Condenser Blowers......Page 109
7.3.2 System with 3 Condenser Blowers......Page 116
References......Page 121
Abstract......Page 122
8.2.1 MSS Structure Function......Page 124
8.2.3 MSS Reliability Function......Page 128
8.3.1 Structural Importance......Page 131
22.5…Conclusion......Page 132
16.4…Discussion......Page 135
8.3.8 Hand Calculation Example......Page 136
A.1.0 Multiple-Valued Logic and Logical Differential Calculus......Page 141
References......Page 142
Abstract......Page 144
9.4.1 Solution Representation and Decoding Procedures......Page 150
9.4.2 Crossover and Mutation Procedures......Page 151
References......Page 153
Abstract......Page 154
References......Page 163
Abstract......Page 164
11.2.1 House of Reliability......Page 166
11.2.2 Analysis of Variance for Selecting the Vital Few Reliability Program Activities......Page 167
11.3.1 Warfare System......Page 168
11.3.5 Implications of the Results......Page 172
References......Page 173
Abstract......Page 174
12.2.1 Continuous Time Markov Chain Model......Page 176
12.3.1 Continuous Time Markov Chain Model......Page 180
12.3.4 Model ComparisonModel Comparison......Page 186
References......Page 189
Abstract......Page 190
13.4.1 Simulation Study......Page 195
13.5.1 Simulation Study......Page 199
References......Page 201
Abstract......Page 203
14.2.1 Pareto Front and Set......Page 205
14.2.2 Level Diagrams......Page 206
14.4.1 Objective Functions......Page 208
14.4.3 Pareto Front and Set Reduction......Page 211
References......Page 216
Abstract......Page 217
15.2.1 The Discrete Uniform Distribution......Page 218
15.2.3 The Discrete Weibull Distribution......Page 219
15.4.1 Costs Proportional to the Removed Hazard......Page 223
15.4.3 Costs Proportional to the Degree of Repair......Page 224
References......Page 226
Abstract......Page 227
16.2.1 Nelson--Aalen Estimators......Page 231
16.2.4 The Pepe Estimator and Its Extensions......Page 235
16.3.1 Estimators of State Occupation Probabilities......Page 238
16.3.4 Interval Censoring......Page 240
References......Page 241
Abstract......Page 244
17.2.1 Estimation......Page 246
17.2.2 Model Selection......Page 249
17.2.2.1 Real Data Example......Page 251
17.3.1 Right Censored Data......Page 254
17.3.2 Interval Censored and Truncated Data......Page 255
References......Page 257
Abstract......Page 259
References......Page 272
Abstract......Page 274
References......Page 286
Abstract......Page 287
20.5.1 Example 1......Page 294
20.6.1 Example 2......Page 297
References......Page 298
Abstract......Page 299
21.3.1 Pareto Distribution......Page 302
21.3.4 Quadratic Loss Distribution......Page 307
References......Page 309
Abstract......Page 311
22.2.1 Assumptions......Page 312
22.2.3 Cost Structure and Risk Functional......Page 314
References......Page 323