Question: Reliability Engineering Consider a valve that might fail in two failure modes: open (0) and short (3). When it fails it is repaired to the

Reliability Engineering

Consider a valve that might fail in two failure modes: open (0) and short (3). When it fails it is repaired to the working state. The failure times in O and S sates follow exponential distributions with failure rates '10, and As respectively. The corresponding repairs also follow exponential distributions with repair rates of no. and ,us respectively. c. Derive an expression for system availability? d. Assume that failure rate in short state is 0.1 that of the open state and that the repair rate of open state is 5 times its failure rate and that of the short state is 10 times its failure rate. Determine the availability of the system. e. What is the operational availability during T=50 hours when 10 = 0.0005 failures/ hour

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