For the five-component system of Example 13.9, which of the following three options will i...

For the five-component system of Example 13.9, which of the following three options will increase the mean time to failure the most?

(a) Replace component 1 with two such components in parallel.

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(b) Replace component 2 with two such components in parallel.

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(c) Replace component 5 with two such components in parallel.

For each option, use Monte Carlo simulation with n = 25,000. Let μ_i be the mean time to failure if component i is duplicated, for i = 1, 2, 5. Using the Welch approach and the Bonferroni inequality (see Sec. 9.7), construct confidence intervals for μ₁ – μ₂, μ₁ – μ₅, and μ₂ – μ₅ so that the overall confidence level is at least 95 percent.

Example 13.9

FIGURE 13.14 Layout of the five-component system.

TABLE 13.3 Means for the five components (in days)