Question

1. a) A system is made of 3 identical components ?, ?, and ?. The system fails if any two of the three components fail. Draw the reliability block diagram of the system
1. b) Draw the fault tree of the system.
1. c) Identify all minimal cut sets.

Answer 1

Solution:

1 a)The reliability block diagram of the system is as follows:

1 b)The fault tree diagram is as follows:

The voting OR gate in the fault tree indicates that if two components fail then the system will fail while the node in the Reliability block diagram indicates that if at least two components succeed then the system will succeed.

1 c)Minimal cut sets are all the unique combinations of components failures that can cause system failure.Here all the three are minimal cut sets. So it is represented as {X,Y,Z}