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Multistate Systems Reliability Theory With Applications

by: Natvig, Bent

Multistate Systems Reliability Theory With Applications

by: Natvig, Bent

ISBN 13:
9780470697504
ISBN 10:
0470697504
Edition: 1st
Format: Hardcover
Copyright: 01/25/2011
Publisher: Wiley

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Summary

The book covers a description of various types of multistate system, bound for multistate systems, probabilistic modeling of monitoring and maintenance of multistate systems with components, and examples of applications. It will be the only recent work on multistate systems and their probabilistic modeling.

Preface
Acknowledgements
List of Abbreviations
Introduction
Basic Notation and two Simple Examples
An Offshore Electrical Power Generation System
Basic Definitions from Binary Theory
Early Attempts to Define Multistate Coherent Systems
Exercises
Basics
Multistate Monotone and Coherent Systems
Binary Type Multistate Systems
Multistate Minimal Path and Cut Vectors
Stochastic Performance of Multistate Monotone and Coherent Systems
Stochastic Performance of Binary Type Multistate Strongly Coherent Systems
Exercises
Bounds for System Availabilities and Unavailabilities
Performance Processes of the Components and the System
Basic Bounds in a Time Interval
Improved Bounds in a Time Interval using Modular Decompositions
Improved Bounds at a Fixed Point of Time using Modular Decompositions
Strict and Exactly Correct Bounds
Availabilities and Unavailabilities of the Components
The Simple Network System Revisited
The Offshore Electrical Power Generation System Revisited
An Offshore Gas Pipeline Network
Description of the System
Bounds for System Availabilities and Unavailabilities
Bayesian Assessment of System Availabilities
Basic ideas
Moments for posterior component availabilities and unavailabilities
Bounds for moments for system availabilities and unavailabilities
A simulation approach and an application to the simple network system
Measures of Importance of System Components
Introduction
Measures of component importance in nonrepairable systems
The Birnbaum and Barlow-Proschan measures of component importance in repairable systems and the latter's dual extension
The Natvig measure of component importance in repairable systems and its dual extension
Concluding remarks
Measures of Component Importance - a Numerical Study
Introduction
Component importance in two three component systems
Component importance in the bridge systems
Application to an offshore oil and gas production system
Concluding remarks
Probabilistic Modelling of Monitoring and Maintenance
Introduction and Basic Marked Point Process
Partial Monitoring of Components and the Corresponding Likelihood Formula
Incorporation of Information from the Observed System History Process
Cause Control and Transition Rate Control
Maintenance, Repair and Aggregation of Operational Periods
The Offshore Electrical Power Generation System
The Data Augmentation Approach
Remaining Proofs of Bounds given in Chapter 3
Proof of the Inequalities 14, 7 and 8 of Theorem 3.3.1
Proof of Inequality 14 of Theorem 3.3.2
Proof of Inequality 10 of Theorem 3.4.2
Remaining Intensity Matrices in Chapter 4
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

Multistate Systems Reliability Theory With Applications

Multistate Systems Reliability Theory With Applications

9780470697504

0470697504

Summary

Author Biography

Table of Contents

Supplemental Materials

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