Beichelt / Tittmann Reliability and Maintenance

Networks and Systems
Erscheinungsjahr 2012
ISBN: 978-1-4398-2636-2
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 344 Seiten

Reliability and Maintenance: Networks and Systems gives an up-to-date presentation of system and network reliability analysis as well as maintenance planning with a focus on applicable models. Balancing theory and practice, it presents state-of-the-art research in key areas of reliability and maintenance theory and includes numerous examples and exercises. Every chapter starts with theoretical foundations and basic models and leads to more sophisticated models and ongoing research.

The first part of the book introduces structural reliability theory for binary coherent systems. Within the framework of these systems, the second part covers network reliability analysis. The third part presents simply structured maintenance policies that may help with the cost-optimal scheduling of preventive maintenance. Each part can be read independently of one another.

Suitable for researchers, practitioners, and graduate students in engineering, operations research, computer science, and applied mathematics, this book offers a thorough guide to the mathematical modeling of reliability and maintenance. It supplies the necessary theoretical and practical details for readers to perform reliability analyses and apply maintenance policies in their organizations.

Zielgruppe

Engineers, statisticians, and mathematicians in reliability; students in courses on reliability and maintenance.

Autoren/Hrsg.

Beichelt, Frank

Tittmann, Peter

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Zuverlässigkeitstechnik
• Wirtschaftswissenschaften Betriebswirtschaft Bereichsspezifisches Management Produktionsmanagement, Qualitätskontrolle

Inhaltsverzeichnis

COHERENT BINARY SYSTEMS
Fundamental System Structures

Simple Systems

Structured Systems
Exercises

Complex Systems

Foundations

Coherent Systems
Exercises

Lifetime of Coherent Systems

Independent Element Lifetimes

Dependent Element Lifetimes
Exercises

NETWORK RELIABILITY
Modeling Network Reliability with Graphs
Introduction to Network Reliability

Foundations of Graph Theory

Deterministic Reliability Measures

Stochastic Reliability Measures

Reliability Analysis
Connectedness

K-Terminal Reliability
Vertex Failures

Residual Connectedness
Directed Graphs

Domination and Covering

Connectedness in Undirected Graphs
The Reliability Polynomial
Special Graphs
Reductions for the K-Terminal Reliability

Inequalities and Reliability Bounds

Partitions of the Vertex Set and Vertex Separators
The Combinatorics of Set Partitions
Separating Vertex Sets — Splitting Formulae
Planar and Symmetric Graphs

Splitting and Recurrent Structures

Approximate Splitting.Reliability Bounds

Reliability Measures Based on Vertex Partitions

Splitting in Directed Graphs

Algorithmic Aspects of Network Reliability
Complexity of Network Reliability Problems

Decomposition-Reduction Algorithms

Algorithms for Special Graph Classes
Simulation and Probabilistic Algorithms

MAINTENANCE MODELS
Random Point Processes in System Replacement

Basic Concepts

Renewal Processes

Minimal Repair Processes
Exercises

Time-Based System Replacement

Age and Block Replacement

Replacement and Minimal Repair

Replacement Policies Based on the Failure Type
Exercises

System Replacement Based on Cost Limits

Introduction

Constant Repair Cost Limit

Time-Dependent Repair Cost Limits

Cumulative Repair Cost Limit Replacement Policies

Exercises

Maintenance Models with General Degree of Repair
Imperfect Repair

Virtual Age

Geometric Time Scaling

Exercises

Inspection of Systems
Basic Problem and Notation

Inspection without Replacement
Inspection with Replacement
Exercises

Bibliography
Index

Über Autor(innen)

Frank Beichelt is a sessional lecturer at the University of Witwatersrand, where he was a professor of operations research before retiring in 2008. He was previously a professor of mathematics at Ingenieurhochschule Mittweida and an associate professor of reliability and maintenance theory at the University for Transportation and Communication "Friedrich List" Dresden. Extensively published in the field of stochastic modeling, Dr. Beichelt has authored nine books and coauthored three books.
Peter Tittmann is a professor of mathematics at the University of Applied Sciences Mittweida. He teaches courses in linear algebra, discrete mathematics, graph theory, operations research, enumerative combinatorics, and network analysis. Dr. Tittman’s research interests include network reliability, graph theory, and combinatorics.