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find the cut set lower bound and the path set upper bound for the system reliability

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

1. Find the minimal path sets and minimal cut sets for the system.

2. Sketch the equivalent systems using minimal path sets and minimal cut sets.

3. Find the structure function for the system using both the minimal path sets and minimal cut sets. Also, show that the structure functions from the two methodsare identical.

4. Find the reliability of the system, if the component reliability is p.

5. Find the simple series lower bound and the simple parallel upper bound for the system reliability, if the component reliability is p.

6. Find the cut set lower bound and the path set upper bound for the system reliability, if the component reliability is p.

7. Graph the system reliability and the four bounds on the same graph.

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