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# 17-01-02 - 17.1.2 Calculate the reliability of the system...

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17.1.2 Calculate the reliability of the system diagram in Figure 17.9. r 1 := 0.99 r 2 := 0.90 r 3 := 0.99 r 4 := 0.95 r 5 := 0.92 r 45 := 1 - 1 - r 4 ⋅ 1 - r 5 = .996 r 345 := r 3 r 45 = .98604 r 2345 := 1 - 1 - r 2 ⋅ 1 - r 345 = .998604 r 12345 := r 1 r 2345 = .988618 page 1

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Problem 1 Consider the system of problem 17.1.2. However, now suppose that the components have the following constant failure rates: λ 1 := 0.01 λ 2 := 0.10 λ 3 := 0.01 λ 4 := 0.05 λ 5 := 0.08 Moreover, suppose that components 4 and 5 are configured as standby parallel, with component 4 the primary unit. Provide an expression for the overall system reliability as a function of time. r1 t := - λ 1 t e r1 t = - t 100 e r2 t := - λ 2 t e r2 t = - t 10 e r3 t := - λ 3 t e r3 t = - t 100 e r4 t := - λ 4 t e r4 t = - t 20 e f4 t := λ 4
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17-01-02 - 17.1.2 Calculate the reliability of the system...

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