Mark P. Kaminskiy
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. Reliability Measures. Problems. 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. Non-Homogeneous 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. Appendices. References.
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.
Inhaltsverzeichnis
Time-to-Failure Distributions and Reliability Measures Probability Density and Cumulative Distribution Functions Conditional Reliability, Failure Rate, Cumulative Failure Rate, and Average Failure Rate Reliability Measures 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 Index
