Assignment#5 Reliability of Systems Submission date July 2, 2015 1. The time to failure (in years) of a Cyclone 365 computer has the probability density function f x 1 / t 1 2 , t 0. (a) If three of these computers are placed in parallel aboard the proposed space station, what is the system reliability for the first 6 months of operation? (b) What is the system design life in days if reliability of a 0.999 is required? (c) What is the system reliability for 6 months if two out of the three computers must function? 2. Find the system reliability of the following series-parallel configurations. Component reliabilities are given. 1 3. A repairable system consists of three non-identical components A, B,C , all of which must work for system success. When one component fails, no further component failures can occur. Construct the relevant state space diagram and hence evaluate general expressions for the Individual limiting state probabilities in terms of the component failure and repair rates. Evaluate the unavailability of the system in hours/year if the three components have thefollowing Reliability data. Component A B C Failure Rate(/yr) 1.0 0.1 0.5 Repair rate (/yr 365 12 52 2