Stochastic Models in Reliability / Edition 1

Stochastic Models in Reliability / Edition 1

by Terje Aven, Uwe Jensen
     
 

ISBN-10: 0387986332

ISBN-13: 9780387986333

Pub. Date: 03/04/1999

Publisher: Springer-Verlag New York, LLC

This book gives a comprehensive up-to-date presentation of some of the classical areas of reliability. It is 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 formulas for computing various performance measures, and determine how to identify…  See more details below

Overview

This book gives a comprehensive up-to-date presentation of some of the classical areas of reliability. It is 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 formulas for computing various performance measures, and determine how to identify optimal replacement policies in complex situations. A number of special cases analyzed previously can be included in this framework. This book presents a unifying approach to some of the key areas of reliability theory, summarizing and extending results obtained in recent years. Although conceived mainly as a research monograph, this book can also be used for graduate courses and seminars. It primarily addresses probabilists and statisticians with research interests in reliability.

Product Details

ISBN-13:
9780387986333
Publisher:
Springer-Verlag New York, LLC
Publication date:
03/04/1999
Series:
Stochastic Modelling and Applied Probability Series, #41
Edition description:
1999
Pages:
283
Product dimensions:
9.21(w) x 6.14(h) x 0.69(d)

Table of Contents

1Introduction1
1.1Lifetime Models1
1.2Maintenance8
1.3Reliability Modeling10
2Basic Reliability Theory19
2.1Complex Systems19
2.2Basic Notions of Aging37
3Stochastic Failure Models47
3.1Notation and Fundamentals47
3.2A General Lifetime Model61
3.3Point Processes in Reliability - Failure Time and Repair Models73
4Availability Analysis of Complex Systems97
4.1Performance Measures98
4.2One-Component Systems99
4.3Point Availability and Mean Number of System Failures112
4.4Distribution of the Number of System Failures117
4.5Downtime Distribution Given System Failure138
4.6Distribution of the System Downtime in an Interval144
4.7Generalizations and Related Models151
5Maintenance Optimization169
5.1Basic Replacement Models169
5.2A General Replacement Model175
5.3Applications185
5.4Repair Replacement Models202
ABackground in Probability and Stochastic Processes213
BRenewal Processes243
References253
Index266

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