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We want to compare two different schemes of increasing reliability of a system using redundancy. Suppose that the system needs s identical components in series for proper operation. Further suppose...

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We want to compare two different schemes of increasing reliability of a system using redundancy. Suppose that the system needs s identical components in series for proper operation. Further suppose that we are given m · s components. Out of the two schemes shown in Figure 1.P.7, which one will provide a higher reliability? Given that the reliability of an individual component is r, derive the expressions for the reliabilities of two configurations. For m = 3 and s = 2, compare the two expressions.

Answered 137 days After May 22, 2022

Solution

Amar Kumar answered on Oct 06 2022
74 Votes
The first a
angement (A) has m parallel s components connected in series. Instead, in the second design (B), a sequence of m components are a
anged in parallel.
The series' dependability formula is:
And the parallel formula is as follows:
The following expression is obtained:
With m=3 and...
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