This book addresses the key parts of reliability theory: binary and multi-state monotone systems, network reliability, and maintenance theory. Accessible to engineers, statisticians, and mathematicians in reliability, this self-contained text provides many worked examples, algorithms, simulation methods, and exercises, with solutions in an appendix. Specific topics covered include disjoint sum representations of the system function, systems consisting of components with statistically dependent lifetimes, and lifetime and aging analyses of simple and binary monotone systems.
Part I : Monotone Systems
Chapter 1 : Basic Systems
Chapter 2 : Binary Systems
Chapter 3 : Multi-State Systems
Part II : Network Reliability
Chapter 4 : Modeling Network Reliability Problems
Chapter 5 : Reliability Measures
Chapter 6 : Connectedness in Undirected Graphs
Chapter 7 : Partitions of Vertex Sets and Vertex Separators
Chapter 8 : Algorithmic Aspects of Network Reliability
Part III : Maintenance Models
Chapter 9 : Aging of Systems
Chapter 10 : Renewal Processes
Chapter 11 : Minimal Repair Processes
Chapter 12 : Maintenance Policies with Minimal Repair
Chapter 13 : Maintenance Policies with General Degree of Repair
Chapter 14 : Optimal Inspection Policies
