Question

Explain one component redundancy yields higher reliability than unit redundancy. For the general case of an n-component series system, prove that it is true. 

31 Mar 2022
Answer :
Word Count : 445

One component redundancy refers to a system design where multiple redundant components are employed in parallel, while unit redundancy involves having a single backup unit that can replace the primary unit in case of failure. In many cases, one component redundancy can yield higher reliability than unit redundancy, and this can be proven for a general n-component series system using mathematical reasoning.

Let's consider an n-component series system, where n identical components are connected in series such that the system fails if any one of the components fails. The probability of failure of each individual component is denoted by P_f, and the probability of success (i.e., not failing) for each component _________ ________ ________ __________ _____.
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