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Reliability Models for Engineers and Scientists [Kõva köide]

(NASA Goddard Space Flight Center, Greenbelt, Maryland, USA)
  • Formaat: Hardback, 152 pages, kõrgus x laius: 234x156 mm, kaal: 340 g, 14 Tables, black and white; 58 Illustrations, black and white
  • Ilmumisaeg: 26-Nov-2012
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1466565926
  • ISBN-13: 9781466565920
  • Formaat: Hardback, 152 pages, kõrgus x laius: 234x156 mm, kaal: 340 g, 14 Tables, black and white; 58 Illustrations, black and white
  • Ilmumisaeg: 26-Nov-2012
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1466565926
  • ISBN-13: 9781466565920
"A discussion of the basic reliability concepts and models, this book is suitable for students of reliability engineering as well as for those who wish a supplement on applied survival data analysis. The models discussed in the book are used in reliability, risk analysis, physics of failure, fracture mechanics, biological, pharmaceutical and medical studies. It is an up- to-date, concise, and informative handbook on reliability models, which does not require any special mathematical background. It also introduces a new concept of the Gini-type index"--

A principle reliability engineer at the US National Aeronautical and Space Administration's (NASA) Goddard Space Flight Center, Kaminskiy makes modern mathematical reliability models available to reliability engineers and risk analysts as well as to physicists, biologists, gerontologists, and other scientists. He represents the models in simple terms, discussing in detail the physical meaning and the real data supporting (or not) the adequacy of the models. He covers time-to-failure distributions and reliability measures, and probabilistic models for repairable and nonrepairable objects. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)

Introduction ix
About the Author xi
1 Time-to-Failure Distributions and Reliability Measures
1(6)
1.1 Probability Density and Cumulative Distribution Functions
1(1)
1.2 Conditional Reliability, Failure Rate, Cumulative Failure Rate, and Average Failure Rate
2(1)
1.3 Reliability Measures
3(4)
2 Probabilistic Models for Nonrepairable Objects
7(72)
2.1 Shock Models and Component Life Distributions
7(26)
2.1.1 Poisson Distribution and Homogeneous Poisson Process
7(7)
2.1.2 Exponential Time-to-Failure Distribution
14(3)
2.1.3 Gamma Time-to-Failure Distribution
17(4)
2.1.4 Normal (Gaussian) Time-to-Failure Distribution
21(3)
2.1.5 Lognormal Time-to-Failure Distribution
24(4)
2.1.6 Weibull Time-to-Failure Distribution
28(4)
2.1.6.1 Weakest Link Model
32(1)
2.2 Classes of Aging/Rejuvenating Distributions and Their Properties
33(12)
2.2.1 Damage Accumulation Models Resulting in Aging TTF Distributions
36(1)
2.2.1.1 Model I
37(1)
2.2.1.2 Model II
38(1)
2.2.2 Some Useful Inequalities for Reliability Measures and Characteristics for Aging/Rejuvenating Distributions
39(1)
2.2.2.1 Bounds Based on a Known Quantile
39(1)
2.2.2.2 Bounds Based on a Known Mean
40(1)
2.2.2.3 Inequality for Coefficient of Variation
40(1)
2.2.3 Gini-Type Index for Aging/Rejuvenating Distributions
41(2)
2.2.3.1 GT Index for the Weibull Distribution
43(1)
2.2.3.2 GT Index for the Gamma Distribution
43(2)
2.3 Models with Explanatory Variables
45(34)
2.3.1 Basic Notions
45(1)
2.3.2 Stress Severity
46(1)
2.3.3 Models with Constant Explanatory Variables (Stress Factors)
46(1)
2.3.3.1 Accelerated Life Model
47(4)
2.3.3.2 Proportional Hazards Model
51(2)
2.3.3.3 Popular Accelerated Life Reliability Models
53(3)
2.3.3.4 Popular Proportional Hazards Models
56(2)
2.3.4 Models with Time-Dependent Explanatory Variables (Stress Factors)
58(1)
2.3.4.1 Accelerated Life Model with Time-Dependent Explanatory Variables
58(7)
2.3.4.2 Accelerated Life Reliability Model for Time-Dependent Stress and Palmgren-Miner's Rule
65(2)
2.3.4.3 Proportional Hazards Model with Time-Dependent Explanatory Variables
67(1)
2.3.5 Competing Failure Modes and Series System Model
68(2)
2.3.6 Competing Risks Model vs. Mixture Distribution Model
70(9)
3 Probabilistic Models for Repairable Objects
79(42)
3.1 Point Processes as Model for Repairable Systems Failure Processes
79(7)
3.2 Homogeneous Poisson Process as a Simplest Failure-Repair Model
86(1)
3.3 Renewal Process: As-Good-as-New Repair Model
87(5)
3.4 Nonhomogeneous Poisson Process: As-Good-as-Old Repair Model
92(6)
3.4.1 Power Law ROCOF and Weibull Distribution
94(1)
3.4.2 Log-Linear ROCOF and Truncated Gumbel Distribution
94(2)
3.4.3 Linear ROCOF and Competing Risks
96(1)
3.4.4 NHPP with Nonmonotonic ROCOF
97(1)
3.5 Generalized Renewal Process
98(9)
3.6 Inequalities for Reliability Measures and Characteristics for Renewal and Generalized Renewal Processes
107(6)
3.7 Geometric Process: Adding the Better than New Repair
113(5)
3.7.1 Geometric Process with Exponential Underlying Distribution
114(1)
3.7.2 Geometric Process with Weibull Underlying Distribution
115(3)
3.8 Gini-Type Index for Aging/Rejuvenating Processes
118(3)
Appendix A Transformations of Random Variables 121(2)
Appendix B Coherent Systems 123(2)
Appendix C Uniform Distribution 125(2)
References and Bibliography 127(6)
Index 133
Mark P. Kaminskiy