1st Edition

Reliability Models for Engineers and Scientists

By Mark P. Kaminskiy Copyright 2013
    152 Pages 58 B/W Illustrations
    by CRC Press

    152 Pages 58 B/W Illustrations
    by CRC Press

    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

    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

    Biography

    Mark P. Kaminskiy