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Reliability Theory and Models - 1st Edition - ISBN: 9780120414208, 9780323140652

Reliability Theory and Models

1st Edition

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Editor: Mohamed Abdel-Hameed
eBook ISBN: 9780323140652
Imprint: Academic Press
Published Date: 6th September 1984
Page Count: 318
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Reliability Theory and Models: Stochastic Failure Models, Optimal Maintenance Policies, Life Testing, and Structures contains the proceedings of a Symposium on Stochastic Failure Models, Replacement and Maintenance Policies, and Accelerated Life Testing, held in Charlotte, North Carolina, on June 24-26, 1983. Contributors discuss the directions for research on stochastic failure models and maintenance and replacement policies, as well as statistical and computational aspects of reliability. This text is divided into five sections and is comprised of 17 chapters; the first of which introduces the reader to Markov and semi-Markov models of deterioration in light of the results on representation and characterization of Markov processes. The discussion then turns to the concept of minimal repair; situations in which the appropriate stochastic process is a damage or wear process; and optimum policies for several maintenance models based on the imperfect repair model of Brown and Proschan. The chapters that follow explore optimal replacement for self-repairing shock models; the implementation of an iterative scheme for certain Markovian wear/damage models; and a Markov decision model for determining the optimal inventories of repairable spare parts for redundant systems. This book also considers the reliability and maintenance of very large complex systems from the perspective of the U.S. Air Force. This reference material will be of interest to students and active researchers in the fields of mathematics and engineering.

Table of Contents



Stochastic Failure Models

Markov and Semimarkov Models of Deterioration

Wear and Damage Processes from Shock Models in Reliability Theory

Stochastic Properties of a Sequence of Interfailure Times under Minimal Repair and under Revival

Optimal Maintenance and Replacement Policies

Some Imperfect Maintenance Models

Optimal Replacement for Self-Repairing Shock Models

An Iterative Scheme for Approximating Optimal Replacement Policies

Optimal Inventories for Overhaul of Repairable Redundant Systems: A Markov Decision Model

Life Testing

Nonparametric Estimation from Accelerated Life Tests with Random Censorship

A Kalman Filter Approach to Accelerated Life Testing—A Preliminary Development

Inference from Accelerated Life Tests

Small Sample Studies for Linear Decreasing Mean Residual Life

Reliability Structures, Computability, and Approximations

Reliability Calculation and Inductive Inference: An Overview

Decompositions for Multistate Monotone Systems

Computing the Reliability of k out of n Systems

Proximity between Distributions: An Inequality and Its Applications

On the Waiting Time for the First Occurrence of a Pattern

A Summary of Results Concerning Dependence Properties Preserved under Multiple Integrations

Special Session: U.S. Air Force Perspectives on Failure Models and Reliability/Availability/Maintainability


Comments to Stochastic Failure Models Conference

Reliability and Maintainability Research—An RADC Point of View

Application of Stochastic Failure Models to Gas Turbine Engines


No. of pages:
© Academic Press 1984
6th September 1984
Academic Press
eBook ISBN:

About the Editor

Mohamed Abdel-Hameed

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