© 2013 – CRC Press
152 pages | 58 B/W Illus.
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.
Time-to-Failure Distributions and Reliability Measures
Probability Density and Cumulative Distribution Functions
Conditional Reliability, Failure Rate, Cumulative Failure Rate, and Average Failure Rate
Probabilistic Models for Nonrepairable Objects
Shock Models and Component Life Distributions
Classes of Aging/Rejuvenating Distributions and Their Properties
Models with Explanatory Variables
Probabilistic Models for Repairable Objects
Point Processes as Model for Repairable Systems Failure Processes
Homogeneous Poisson Process as a Simplest Failure-Repair Model
Renewal Process: As-Good-as-New Repair Model
Nonhomogeneous Poisson Process: As-Good-as-Old Repair Model
Generalized Renewal Process
Inequalities for Reliability Measures and Characteristics for Renewal and Generalized Renewal Processes
Geometric Process: Adding the Better than New Repair
Gini-Type Index for Aging/Rejuvenating Processes
Appendix A: Transformations of Random Variables
Appendix B: Coherent Systems
Appendix C: Uniform Distribution
References and Bibliography