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Minimal Cut Set

Definition

In a fault tree, the smallest set of simultaneously failing basic events that is sufficient to cause the top event. Identifies the most dangerous failure combinations for design and maintenance attention.

Context
Fault tree analysis
Definition
Smallest event set that causes the top event
Use
Identify critical failure combinations
Field
Root-cause and reliability analysis

Common questions

Why is a single-event minimal cut set more concerning than a multi-event one?+

A minimal cut set containing only one basic event means that a single failure alone, without any other coincidence, is enough to trigger the top event, making it a higher-priority target for design changes or added safeguards than a set requiring several simultaneous failures.

How does identifying minimal cut sets guide investigation or design work?+

Once every minimal cut set for a system is enumerated, engineers or investigators can rank them by likelihood and consequence, focusing corrective action or root-cause inquiry on the combinations that most plausibly explain the failure or pose the greatest ongoing risk.

Related terms

5-Whys
An iterative questioning technique that moves from a symptom to underlying causes by asking 'why?' repeatedly until a systemic explanation is reached.
Barrier Analysis
A method that identifies the physical, administrative, and procedural barriers that should have prevented harm, and asks which barriers were absent, inadequate,...
Fault Tree Analysis (FTA)
A top-down, deductive Boolean logic model that works backward from a specific undesired top event through AND/OR gates to identify minimal cut...
FMEA / FMECA
Failure Mode and Effects Analysis is a bottom-up, inductive method listing what can fail in each component and the effect on the...
Root Cause
The fundamental, underlying deficiency from which the failure originated. Distinguished from immediate cause (the final physical event) and contributing factors. Root-cause analysis...

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