Importance measures in reliability, risk, and optimization

"Provides a comprehensive introduction to importance measures in reliability and optimization, allowing readers to address real, large-scale problems within various fields effectivelyThe book is divided into five main parts, the first containing background information on the fundamentals of system reliability. The second part introduces importance measures, including: the Birnbaum importance measure; the Barlow-Proschan importance measure; the Fussell-Vesely importance measure; and the Natvig time-dependent lifetime importance measure. This part also covers structure importance measures, importance measures of pairs of components, and generalizations of importance measures. Part three looks at applications. Importance measures in redundancy allocation and fault diagnosis are discussed, along with importance measures in upgrading systems and in operations research. The fourth part covers comparisons of importance measures and importance measures for con/k/n systems. The final part to the book discusses components assignment problems (CAP), including sections on CAP in coherent systems, CAP in con/k/n/ and its variant systems, and heuristics based on the Birnbaum reliability importan