Formulate a markov chain model with state space

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A machine is subject to failures of types i = 1, 2, 3 at rates lambda(1)= 1/24, lambda(2) = 1/30, lambda(3) = 1/84. A failure of type i takes an exponential amount of time with rate mu(1) = 1/3, mu(2) = 1/5, mu(3) = 1/7. Formulate a Markov chain model with state space {0 , 1 , 2 , 3} and find its stationary distribution.

Reference no: EM132495516

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