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The traditional approach to handling functional dependence loops is based on Markov models, which are inefficient due to the well-known state space explosion problem. This paper proposes a new and efficient approach to handling functional dependence loops in the system reliability analysis. Based on the divide-and-conquer strategy, the approach transforms a system with functional dependence loops...
A distinct characteristic of a multi-state system (MSS) is that the system and/or its components may exhibit multiple performance levels (or states) varying from perfect operation to complete failure. A MSS can model dependencies such as shared loads, performance degradation, imperfect fault coverage, standby redundancy, limited repair resources, and common-cause failures. The non-binary state property...
Common-cause failures (CCF) are simultaneous failures of multiple components within a system due to a common-cause or a shared root cause. CCF can contribute significantly to the overall system unreliability. Therefore, it is important to incorporate CCF into the system reliability analysis. Traditional CCF analyses have assumed that the occurrence of a common-cause results in the deterministic/guaranteed...
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