network reliability; Monte Carlo algorithms; reliability gradient; importance measures; optimal network synthesis; examples of network reliability

The authors provide a brief introduction to Monte Carlo methods as well as a concise exposition of reliability theory ideas. They investigate a collection of principal reliability models, such as terminal connectivity for networks with unreliable edges or nodes, network lifetime distribution in the process of its destruction, network stationary behavior for renewable components, importance measures of network elements, reliability gradient, and network optimal reliability synthesis. Solutions to most principal network reliability problems are given in the form of e?cient Monte Carlo algorithms and illustrated with numerical examples. This book is intended for software engineering, operations research, industrial engineering, and reliability engineering students, researchers, and engineers. 1