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Draw a fault tree for the system

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Reference no: EM13246771

1. A system contains 6 components A, B, C, D, E, and F. The min cut sets for the system are {A,B,C}, {A,D,F},{B,C,E}, and {D,E,F}.

a. Draw a fault tree for the system in which each event occurs only once.

b. Give the min paths of the system.

2. A system containing 5 components labeled A, B, C, D, and E, has failed. Initially,

 it was estimated that P(A)=1x10-3, P(B)=3x10-3, P(C)= 6,x10-3, P(D) = 1x10-4, and P(E) =8x10-4.However , initial maintenance has revealed that component C has failed. What is the next most likely component to inspect given the following system  fault tree.

2032_Draw a fault tree for the system.png

3. Consider the following system where the arrows indicate flow direction

100_Draw a fault tree for the system1.png

   And respective failure probabilities

 

 

 

 

COMPONENT

 

 

 

 

B

C

D

E

F

G

H

I

Pr{Failure}

1.00E-08

1.20E-07

6.00E-07

1.20E-07

4.00E-08

3.40E-06

6.70E-07

5.50E-08

a. What is the probability of system failure?

b. If you could improve one component which one would you improve?

4. Given P(a) = 1x10-4, P(b) = 3x10-4, P(c) = 7x10-4, P(d) = 9x10-5, and P(e) = 2x10-4,

    And given that

1836_Draw a fault tree for the system2.png

5. A common question in reliability and risk analysis "is it better to make a system of redundant components or just a redundant system?". Consider answering this question for the following system with independent and identical components where probability of unsuccessful operation for each component is p.

1207_Draw a fault tree for the system3.png

Reference no: EM13246771

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