# Question

Consider the following network.

Assume that each component is independent with probability pi of performing satisfactorily.

(a) Find all the minimal paths and cuts.

(b) Compute the exact system reliability, and evaluate it when pi = p = 0.90.

(c) Find upper and lower bounds on the reliability, and evaluate them when pi = p = 0.90.

Assume that each component is independent with probability pi of performing satisfactorily.

(a) Find all the minimal paths and cuts.

(b) Compute the exact system reliability, and evaluate it when pi = p = 0.90.

(c) Find upper and lower bounds on the reliability, and evaluate them when pi = p = 0.90.

## Answer to relevant Questions

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