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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.
A minimal cut set (MCS) has been defined as a minimal set of reactions whose removal blocks the operation of a chosen objective reaction.
Finally, the consequence of each accident sequence has been quantitatively evaluated in the form of core damage frequency (CDF) and minimal cut set (MCS) for each nuclear reactor.
Then surge arrester's placement impacts on the substations reliability indices are calculated in normal operating condition and overvoltage condition by minimal cut set method and simulation results.
After the Boolean algebra and minimal cut set analyses, accident causes associated with each falling site can be presented as a fault tree to provide an overview of the basic causes, which could trigger fall fatalities in the construction industry.
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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.
To evaluate the system reliability, minimal cut sets for the extended network are defined for nodes.
Similarly, the minimal cut sets for components B and C are presented the following expressions, respectively.
One theoretical approach is based on Minimal Cut Sets (MCSs) which are minimal sets of knockouts disabling the operation of a specified set of target elementary modes.
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