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Many real-world systems in engineering are composed of multi-state components that have different performance levels and several failure modes. These have effects on the entire system s performance. §Most books on reliability theory are devoted to traditional binary models that only allow a system either to function perfectly or fail completely. §The Universal Generating Function in Reliability Analysis and Optimization is the first book that gives a comprehensive description of the universal generating function technique and its applications in both binary and multi-state system reliability analysis. §Features:§an introduction to the basic tools used in multi-state system reliability and optimisation;§applications of the universal generating function in the most widely used multi-state systems;§several examples of how the universal generating function can be adapted to different systems in mechanical, industrial and software engineering§The Universal Generating Function in Reliability Analysis and Optimization will be of value to all those interested in multi-state systems in industrial, electrical and nuclear engineering. Many real systems are composed of multi-state components with different performance levels and several failure modes. These affect the whole system's performance.§Most books on reliability theory cover binary models that allow a system only to function perfectly or fail completely.§"The Universal Generating Function in Reliability Analysis and Optimization" is the first book that gives a comprehensive description of the universal generating function technique and its applications in binary and multi-state system reliability analysis.§Features:- an introduction to basic tools of multi-state system reliability and optimization;- applications of the universal generating function in widely used multi-state systems;- examples of the adaptation of the universal generating function to different systems in mechanical, industrial and software engineering.§This monograph will be of value to anyone interested in system reliability, performance analysis and optimization in industrial, electrical and nuclear engineering. Many real-world systems in engineering are composed of multi-state components that have different performance levels and several failure modes. These have effects on the entire system s performance.§Most books on reliability theory are devoted to traditional binary models that only allow a system either to function perfectly or fail completely.§The Universal Generating Function in Reliability Analysis and Optimization is the first book that gives a comprehensive description of the universal generating function technique and its applications in both binary and multi-state system reliability analysis.§Features:§an introduction to the basic tools used in multi-state system reliability and optimization; §applications of the universal generating function in the most widely used multi-state systems; §several examples of how the universal generating function can be adapted to different systems in mechanical, industrial and software engineering. §The Universal Generating Function in Reliability Analysis and Optimization will be of value to all those interested in multi-state systems in industrial, electrical and nuclear engineering. §The Springer Series in Reliability Engineering publishes high-quality books in important areas of current theoretical research and development in reliability, and in areas that bridge the gap between theory and application in areas of interest to practitioners in industry, laboratories, business, and government.