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1. . . . A system is made of 8 components named A to H. The Minimal Path Sets of the system are the following:

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1. . . . A system is made of 8 components named A to H. The Minimal Path Sets of the system are the following: ABDE ACDE BCDE ABEF ACEF BCEF ABDF ACDF . BCDF GH Draw the corresponding reliability block diagram for the system. [20%] b. Based on the reliability block diagram derived in 1 (a) and supposing all the components have the same Reliability R, derive an analytical expression of the Reliability of the system expressed in terms of R. [20%) Suppose the constant failure rate of each of the 8 components is 0.05 failures per year. Calculate the MTTF of the system. [20%) d. From the reliability block diagram derived in 1 (a), list the Minimal Cut Sets of the system [20%) Use the list of Minimal Cut Sets in 1 (d) to draw the corresponding fault tree of the system. The fault tree must not contain any repeated events. (20%) a. e. 1. . . . A system is made of 8 components named A to H. The Minimal Path Sets of the system are the following: ABDE ACDE BCDE ABEF ACEF BCEF ABDF ACDF . BCDF GH Draw the corresponding reliability block diagram for the system. [20%] b. Based on the reliability block diagram derived in 1 (a) and supposing all the components have the same Reliability R, derive an analytical expression of the Reliability of the system expressed in terms of R. [20%) Suppose the constant failure rate of each of the 8 components is 0.05 failures per year. Calculate the MTTF of the system. [20%) d. From the reliability block diagram derived in 1 (a), list the Minimal Cut Sets of the system [20%) Use the list of Minimal Cut Sets in 1 (d) to draw the corresponding fault tree of the system. The fault tree must not contain any repeated events. (20%) a. e

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