Question: Consider two machines that are maintained by a single repairman. Machine i functions for an exponentially distributed amount of time with rate i before it

Consider two machines that are maintained by a single repairman. Machine i functions for an exponentially distributed amount of time with rate i before it fails.

The repair times for each unit are exponential with rate i . They are repaired in the order in which they fail.

(a) Formulate a Markov chain model for this situation with state space f0; 1; 2; 12; 21g.

(b) Suppose that 1 D 1;1 D 2; 2 D 3;2 D 4. Find the stationary distribution.

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