Assignment 5.pdf - Assignment 5 Reliability of Systems 1...

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Assignment – 5: Reliability of Systems 1. Find the minimum number of redundunt components, each having a reliability of 0.4, necessary to achieve a system reliability of 0.95. There is a common mode failure probability of 0.03. 2. Find the system reliability of the configurations in (a) and (b). R R R R (c) 0.9 0.8 0.95 0.9 0.8 0.8 0.8 (a) 0.95 0.90 0.95 0.90 0.90 0.95 0.97 (b)
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For Rs = 0.99 and R in (c) ( Hints: Find Rs in the simplest terms of R and use trial and error) 3. The following natural gas distribution network contains five shut-off valves configured as shown. Valves 1-4 have a probability of 0.012 of failing open and a probability of 0.15 of failing short. Valve 5 has a probability of 0.05 of failing open and a probability of 0.20 of failing short. Find the system reliability. 4. Determine the reliability of the following linked system using the decomposition method. 5. The k-out-of–n systems there may be a crossover point, where the single component reliability is greater than the k-out-of–n system reliability. If R is the
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