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
