Develop a Markov transition diagram for a system consisting of two redundant components operating in a hot-standby configuration with the same failure rate. Assume that both components have a failure rate of lambda = 4 x 10^-5 failures/h. Repair of each component takes 16 h on average. a) Indicate the failure rate and repair rate of each transition. Assume that a repair of a system failure returns the system to fully redundant operation. b) Write the transition rate matrix for the transition diagram c) Assuming a steady-state solution, solve the Chapman-Kolmogorov equations to determine the probability of state occupation for the states identified. d) Determine the availability and unavailability of the system described in question using the results of c.
