Unformatted text preview: Exercise 3 Suppose that the PDF for timetofailure for a single unit is given as:
f0t t := 1 f0 t := 0 1 f t := 0 0 < t and t < else (a) Find the reliability for two units in active parallel. For calculation purposes, let
t Define F_0t t = f0t s s 0
F_0t t = t t F_ t := 1 0 t and t < T tT
2 Define r_ t = 1  F_ t 2 t 1  2 r_ t := 0 0 t and t < T tT (b) Find the reliability for two units in standby parallel.
Define r t = 1  F_0t t r t =1 t t r_ t := r t + r t  s f s s 0 t 1 1 + r t  s s 0 = "Done" r_ t := 1 = "Done" t 1  t  s s 0 = t t  2 2 r_ t := 1 1 1 t t  2 + 2 = "Done" expand r_ t 2  t + t  1 +1 = 2 2 r_ t 2  t  2t  2  1 = 2 2  t 2  2t  2  1 2 r_ t := 2 0 0 t and t < T tT ...
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 Spring '07
 JosephGeunes
 single unit, calculation purposes, standby parallel, Define F_0t, active parallel

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