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As an example, consider the fault tree shown in Figure 1. Figure 1: Minimal cut set example. The system will fail if {1, 2, 3 and 4 fail} or {1, 2 and 3 fail} or {1, 2 and 4 fail}. All of these are cut sets. However, the one including all components is not a minimal cut set because, if 3 or 4 is removed, the remaining events are also a cut set. Solve the fault tree for the combinations of events contributing to the top event. Examine the fault tree model to identify all the possible combinations of events and conditions that can cause the top event of interest.

A combination of events and conditions sufficient and necessary to cause the top event is called a minimal cut set. Step 6. Cut set analysis is widely performed to mitigate these risks in fault tree construction.

A cut set is a distinct path of failure leading to the top undesired event. Upon initial dissection of a fault tree many cut sets are typically identified, but not all are unique. Nov 27, Minimal cut sets are all the unique combinations of component failures that can cause system failure.

Specifically, a cut set is said to be a minimal cut set if, when any basic event is removed from the set, the remaining events collectively are no longer a cut set, as discussed in Kececioglu. As an example, consider the fault tree shown in.

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Definition: A Cut Set is a collection of basic events that if all its events occur, the fault trees top event is guaranteed to occur. A Minimal Cut Set is such Cut Set that, if any basic event is removed from the set, the remaining events collectively are no longer a cut set. A cut set that includes some other sets is not a minimal cut set.