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Multistate System Reliability with Dependencies explains how to select a model of load sharing that best describes the impact of changes in reliability states of components. This is mainly achieved via a generalization of two-state system reliability analysis, where equal load sharing and local load sharing rules are commonly used. The material covers basic concepts of traditional reliability theory, including the concept of probability, failures, series and parallel systems, k-out-of-n systems, and more. It features cutting-edge theorems on the reliability analysis of multistate systems that take into account component degradation and dependencies between subsystems and components in subsystems. Other themes addressed include renewable systems and the availability analysis of multistate systems. Combining results of the reliability analysis of multistate systems with dependent components and the results of the classical renewal theory, the availability analysis of multistate systems under the assumption of imperfect renovation is also provided. Provides a thorough introduction to, and review of, recent research developments across multistate systems and systems with component dependencies Comprehensively addresses various manifestations of the load sharing system at component and system level, including models to describe them Explains how to evaluate the reliability and risk of systems with load-sharing effects Cover MULTISTATE SYSTEM RELIABILITY WITH DEPENDENCIES Copyright Acknowledgment 1 Introduction References 2 Multistate aging systems Multistate approach description Reliability analysis of exemplary system Multistate approach in relation to two-state reliability analysis Reliability analysis of exemplary system Basic reliability structures of multistate systems and their reliability functions Applications Reliability analysis of exemplary system Reliability analysis of shipyard rope elevator References 3 Reliability of aging multistate dependent systems Local load-sharing model of system components dependency Approach description Reliability of multistate series system with dependent components Reliability of multistate series-parallel system with dependent components of its subsystems Reliability of multistate series-``m out of k ́ ́ system with dependent components of its subsystems Equal load-sharing model of system components dependency Approach description Reliability of multistate parallel system with dependent components Reliability of multistate ``m out of n ́ ́ system with dependent components Reliability of multistate parallel-series system with dependent components of its subsystems Reliability of multistate ``m out of l ́ ́-series system with dependent components of its subsystems Mixed load-sharing model of components and subsystems dependency Approach description Reliability of multistate parallel-series system with dependent components and subsystems Reliability of multistate ``m out of l ́ ́-series system with dependent components and subsystems Applications Reliability of exemplary system Reliability of shipyard rope elevator References 4 Availability analysis of aging-dependent systems under imperfect repair Renewal stream and renewal process Characteristics of renewal stream with imperfect repair Renewal function under imperfect repair Local load-sharing dependency model Availability of multistate series system with dependent components Availability of multistate series-parallel system with dependent components of its subsystems Availability of multistate series-``m out of k ́ ́ system with dependent components of its subsystems Equal load-sharing dependency model Availability of multistate parallel system with dependent components Availability of multistate ``m out of n ́ ́ system with dependent components Availability of multistate parallel-series system with dependent components of its subsystems Availability of multistate ``m out of l ́ ́-series system with dependent components of its subsystems Mixed load-sharing dependency model Availability of multistate parallel-series system with dependent components and subsystems Availability of multistate ``m out of l ́ ́-series system with dependent components and subsystems Application Availability of transport navigation system under imperfect repair Availability of shipyard rope elevator under imperfect repair Related problems-System cost optimization under imperfect repair System with negligible renewal time System with non-negligible renewal time References 5 Safety of multistate networks with cascading effects Assumptions and approach description Basic safety structures of multistate networks and their safety functions Safety of multistate series network with independent subnetworks and assets Safety of multistate series network with dependent series subnetworks Safety of multistate series network with dependent assets of its series subnetworks Safety of multistate series network with independent ``m out of l ́ ́ subnetworks Safety of multistate series network with dependent assets of its ``m out of l ́ ́ subnetworks Safety of multistate series network with dependent ``m out of l ́ ́ subnetworks and dependent assets in these subnet ... Application Safety analysis of exemplary network Safety analysis of exemplary energy distribution network References 6 Summary Index Back Cover __Multistate System Reliability with Dependencies__ explains how to select a model of load sharing that best describes the impact of changes in reliability states of components. This is mainly achieved via a generalization of two-state system reliability analysis, where equal load sharing and local load sharing rules are commonly used. The material covers basic concepts of traditional reliability theory, including the concept of probability, failures, series and parallel systems, k-out-of-n systems, and more. It features cutting-edge theorems on the reliability analysis of multistate systems that take into account component degradation and dependencies between subsystems and components in subsystems. Other themes addressed include renewable systems and the availability analysis of multistate systems. Combining results of the reliability analysis of multistate systems with dependent components and the results of the classical renewal theory, the availability analysis of multistate systems under the assumption of imperfect renovation is also provided.