Stochastic Models in Reliability

by Aven, Terje; Jensen, Uwe

• ISBN13: 9780387986333
• ISBN10: 0387986332
• Format: Hardcover
• Copyright: 1999-03-01
• Publisher: Springer Verlag

Summary

The aim of the present book is to give a comprehensive up-to-date presentation of some of the classical areas of reliability, based on a more advanced probabilistic framework using the modern theory of stochastic processes. This framework allows the analyst to formulate general failure models, establish formulae for computing various performance measures, as well as to determine how to identify optimal replacement policies in complex situations.

Author Biography

Terje Aven is a professor of reliability and risk analysis at the Stavanger University College and is also currently an adjunct professor at the University of Oslo.

Table of Contents

Introduction	p. 1
Lifetime Models	p. 1
Maintenance	p. 8
Reliability Modeling	p. 10
Basic Reliability Theory	p. 19
Complex Systems	p. 19
Basic Notions of Aging	p. 37
Stochastic Failure Models	p. 47
Notation and Fundamentals	p. 47
A General Lifetime Model	p. 61
Point Processes in Reliability - Failure Time and Repair Models	p. 73
Availability Analysis of Complex Systems	p. 97
Performance Measures	p. 98
One-Component Systems	p. 99
Point Availability and Mean Number of System Failures	p. 112
Distribution of the Number of System Failures	p. 117
Downtime Distribution Given System Failure	p. 138
Distribution of the System Downtime in an Interval	p. 144
Generalizations and Related Models	p. 151
Maintenance Optimization	p. 169
Basic Replacement Models	p. 169
A General Replacement Model	p. 175
Applications	p. 185
Repair Replacement Models	p. 202
Background in Probability and Stochastic Processes	p. 213
Renewal Processes	p. 243
References	p. 253
Index	p. 266
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