Question: A system has 1 2 components. Components 1 through 8 are different and have failure functions of F 1 , , F 8 . Components

A system has

12

components. Components

1

through

8

are different and have failure functions of F

1,,

8 .

Components

9

through

12

are the same and have failure function F

.

Components

4, 5

and

6

are critical, and each must operate for the system to function However, only one of components

1, 2, 3

has to be working, and the same goes for components

7

and

8 .

At least two of the four identical components must work, as well. Draw the block diagram and derive the system reliability function. Derive the Birnbaum importance of each component.

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