Final03 - Exercise 3 Suppose that the PDF for...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Exercise 3 Suppose that the PDF for time-to-failure 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 ...
View Full Document

Ask a homework question - tutors are online