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Abstract
This paper considers reliability measures for a multi-state system where the system and its components can have different performance levels ranging from perfect functioning to complete failure. The suggested approach presents a generalized reliability measure as a functional of trajectories of two stochastic processes — output performance of the entire multi-state system and the corresponding demand. It shows how the commonly used reliability measures 120 can be derived from this functional and how they can be computed by using the developed Markov reward model. Corresponding procedures for rewards definition are suggested for different reliability measures. A numerical example is presented in order to illustrate the approach.
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Notes on contributors
Anatoly Lisnianski
Anatoly Lisnianski Expert-Engineer in Israel Electric Corporation Ltd. and an adjunct senior lecturer of Statistics Department at Haifa University. His interests are in the areas of system reliability and risk analysis, optimization of maintenance, redundancy and inventory policy. He is the co-author of the book Multi-state System Reliability. Assessment, Optimization and Applications (World Scientific, 2003), two book chapters and more than 70 publications in different scientific journals. He is a senior member of IEEE.