Question: Consider two machines that are maintained by a single repairman. Machine i functions for an exponential time with rate di before breaking down, i =

Consider two machines that are maintained by a

Consider two machines that are maintained by a single repairman. Machine i functions for an exponential time with rate di before breaking down, i = 1, 2. The repair times are exponential with rate u. Assumption: Repairman has to finish the current job before starting to repair the other one. (1) Make a proper state definition to observe this system as a continuous time Markov process and draw the transition diagram. (2) Assume that Machine 1 is broken and Machine 2 is working. What is the expected time until Machine 1 is fixed? Consider two machines that are maintained by a single repairman. Machine i functions for an exponential time with rate di before breaking down, i = 1, 2. The repair times are exponential with rate u. Assumption: Repairman has to finish the current job before starting to repair the other one. (1) Make a proper state definition to observe this system as a continuous time Markov process and draw the transition diagram. (2) Assume that Machine 1 is broken and Machine 2 is working. What is the expected time until Machine 1 is fixed

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