Question: Consider two machines that are maintained by a single repairman. Machine functions for an exponential time with rate , before breaking down, i = 1,2.

Consider two machines that are maintained by a single repairman. Machine functions for an exponential time with rate , before breaking down, i = 1,2. The repair times (for either machine) are exponential with rate . Can we analyze this as a birth and death process? If so, what are the parameters? If not, how can we analyze it? 

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