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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.
List of contents
1. Introduction
2. Multistate aging system
3. Reliability of aging multistate dependent systems
4. Availability analysis of aging-dependent systems under imperfect repair
5. Safety of multistate networks with cascading effects
6. Summary
About the author
Dr. Agnieszka Blokus is an Assistant Professor in the Mathematics Department at the Faculty of Navigation, Gdynia Maritime University. She received the M.S. degree in mathematics with a specialization in computer science and numerical methods from Gdansk University and the Ph.D. degree in automatics and robotics from the Systems Research Institute of the Polish Academy of Sciences in Warsaw. Her field of interest is reliability analysis of technical systems, particularly of systems with dependent components.
