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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.