A system is composed of 6 components having reliabilities of 0.92, 0.95, 0.99, 0.92, 0.96, and...

A system is composed of 6 components having reliabilities of 0.92, 0.95, 0.99, 0.92, 0.96, and 0.97. Which is the more reliable design: high-level redundancy with 3 of each component or low-level redundancy with 2 of each component? Compare the system reliabilities.

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Expert Solution

Given Information:

A system is composed of 6 components having reliabilities of 0.92, 0.95, 0.99, 0.92, 0.96, and 0.97.

A high-level redundancy with 3 of each component is a combination of 3 units in series separately and a low-level redundancy is a design of 3 parallel units each having 2 components.

Let us assume that first three and last three components are in series combined parallelly.

The system reliability in case of a high-level redundancy is given by:

The system reliability in case of a low-level redundancy is given by:

The low level redundancy is better as it has high reliability.

orchestra answered 1 year ago

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