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One is the minimal cut contains a source point and a sink point.
This is because the number of disjoint routes is bounded to the (S, D) minimal cut.
Under this definition, an extended network and its sink node have the same minimal cut sets.
The minimal cut sets (MSCs) of the fault trees are the hazards to be identified exactly.
Similarly, the minimal cut sets for components B and C are presented the following expressions, respectively.
To evaluate the system reliability, minimal cut sets for the extended network are defined for nodes.
The minimal cut of (S, D) is the dimension of the smallest subset of edges necessary to link S to D. The minimal cut is estimated by the neighborhoods of source and destination.
The end state probability is then the probability of the logical sum of the minimal cut set probabilities, where each minimal cut set probability is the product of the basic event probabilities that also include dependencies among the basic events.
The minimal cut set (MC, an edge set) is one of the major and fundamental tools for evaluating network reliability.
In the off-line preparation stage, the fault origins of a system hazard are identified by determining the minimal cut sets of the corresponding fault tree.
Previous approaches have relied on enumeration or on the computation of multi-state minimal cut vectors (MMCV) and the application of inclusion/exclusion formulae.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com