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Determine the optimal repair cost limit

Questions:

A system is maintained according to policy 7 with a constant repair cost limit c. System lifetime L and repair cost C have the respective distribution functions F(t) and The cost of a minimal repair is R(x). assumed (quite naturally) to depend on c as follows cm = cm(c) = E(C C ≤ c).

(1) Determine the corresponding maintenance cost rate via formula (3.85) for any distribution function F(t) and for any distribution function with R(x) = P(C ≤ x) density r(x) and property R(cr) = 1.

(2) Determine the optimal repair cost limit with given by (3.91) and given F(t) R(x) by (3.96)

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