This unique treatment systematically interprets a spectrum ofimportance measures to provide a comprehensive overview of theirapplications in the areas of reliability, network, risk,mathematical programming, and optimization. Investigating theprecise relationships among various importance measures, itdescribes how they are modelled and combined with other designtools to allow users to solve readily many real-world, large-scaledecision-making problems. Presenting the state-of-the-art in network analysis, multistatesystems, and application in modern systems, this book offers aclear and complete introduction to the topic. Through describingthe reliability importance and the fundamentals, it covers advancedtopics such as signature of coherent systems, multi-linearfunctions, and new interpretation of the mathematical programmingproblems. Key highlights: Generalizes the concepts behind importance measures (such assensitivity and perturbation analysis, uncertainty analysis,mathematical programming, network designs), enabling readersto address large-scale problems within various fieldseffectively Covers a large range of importance measures, including those inbinary coherent systems, binary monotone systems, multistatesystems, continuum systems, repairable systems, as well asimportance measures of pairs and groups of components Demonstrates numerical and practical applications of importancemeasures and the related methodologies, including risk analysis innuclear power plants, cloud computing, software reliability andmore Provides thorough comparisons, examples and case studies onrelations of different importance measures, with conclusive resultsbased on the authors’ own research Describes reliability design such as redundancy allocation,system upgrading and component assignment. This book will benefit researchers and practitioners interestedin systems design, reliability, risk and optimization, statistics,maintenance, prognostics and operations. Readers can developfeasible approaches to solving various open-ended problems in theirresearch and practical work. Software developers, IT analysts andreliability and safety engineers in nuclear, telecommunications,offshore and civil industries will also find the book useful.