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Unit 17: System Reliability

4. The ability of a system or component to perform its required functions under ................... Notes
for a specified period of time.
(a) k-out-of-n system (b) stated conditions

n
x
(c)  ( )   x i (d) partial order
i 1

17.13 Review Questions

1. The Bridge Structure

The minimal cut sets are:
{2}, {1, 4, 5}, {4, 6}, {2, 4, 5}.
2. Calculate a lower bound on the reliability of this system. Assume that all components
have the same reliability p.

4

2
5
1
3 7

2
3. The minimal cut sets are {1}, {2, 3}, {3, 4, 5}, and {7}. Hence r  1 – 2(1 – p) – (1 – p) – (1 – p) .
3
4

2
5
1
3 6

Answers: Self Assessment

1. (a) 2. (a) 3. (d) 4. (d) 5. (b)

17.14 Further Readings

Books Sheldon M. Ross, Introduction to Probability Models, Ninth Edition, Elsevier
Inc., 2007.
Jan Pukite, Paul Pukite, Modeling for Reliability Analysis, IEEE Press on
Engineering of Complex Computing Systems, 1998.

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