Reliability theory and models : stochastic failure models, optimal maintenance policies, life testing, and structures
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Reliability theory and models : stochastic failure models, optimal maintenance policies, life testing, and structures
(Notes and reports in computer science and applied mathematics, 10)
Academic Press, 1984
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Includes bibliographies
Description and Table of Contents
Description
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
Contributors
Preface
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
Introduction
Comments to Stochastic Failure Models Conference
Reliability and Maintainability Research-An RADC Point of View
Application of Stochastic Failure Models to Gas Turbine Engines
by "Nielsen BookData"