A discussion of the basic reliability concepts and models, Reliability Models for Engineers and Scientists demystifies modern mathematical reliability models. Requiring very little mathematical background on the reader’s part, this concise book introduces the models by focusing on their physical meaning and the supporting data; it then goes on to provide a wide scope of possible applications.
The book also introduces a new concept of the Gini-type index, which when applied to aging/rejuvenating components (nonrepairable systems) can measure how different a given aging/rejuvenation distribution is compared to the exponential distribution. A similar index is then applied to aging/rejuvenating repairable systems, creating a bridge between the concepts. The chapters discuss models used in reliability, risk analysis, physics of failure, fracture mechanics, biological, pharmaceutical, and medical studies. They comprise an up-to-date, concise, and informative resource on reliability models, which does not require any special mathematical background.
Preface
Part I : Time-to-Failure Distributions and Reliability Measures
Chapter 1 : Probability Density and Cumulative Distribution Functions
Chapter 2 : Conditional Reliability, Failure Rate, Cumulative Failure Rate, and Average Failure Rate
Chapter 3 : Reliability Measures
Part II : Probabilistic Models for Nonrepairable Objects
Chapter 4 : Shock Models and Component Life Distributions
Chapter 5 : Classes of Aging/Rejuvenating Distributions and Their Properties
Chapter 6 : Models with Explanatory Variables
Part III : Probabilistic Models for Repairable Objects
Chapter 7 : Point Processes as Model for Repairable Systems Failure Processes
Chapter 8 : Homogeneous Poisson Process as a Simplest Failure-Repair Model
Chapter 9 : Renewal Process : As-Good-as-New Repair Model
Chapter 10 : Nonhomogeneous Poisson Process : As-Good-as-Old Repair Model
Chapter 11 : Generalized Renewal Process
Chapter 12 : Inequalities for Reliability Measures and Characteristics for Renewal and Generalized Renewal Processes
Chapter 13 : Geometric Process : Adding the Better than New Repair
Chapter 14 : Gini-Type Index for Aging/Rejuvenating Processes
Appendix A : Transformations of Random Variables
Appendix B : Coherent Systems
Appendix C : Uniform Distribution
References and Bibliography
Index
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