Reliability Models for Engineers and Scientists (Hardback) book cover

Reliability Models for Engineers and Scientists

By Mark P. Kaminskiy

© 2013 – CRC Press

152 pages | 58 B/W Illus.

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About the Book

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.

Table of Contents

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


Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / Bayesian Analysis