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3. Consider a two station closed queueing network. Assume that there are three customers in the system. When a customer departs from a station, he

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3. Consider a two station closed queueing network. Assume that there are three customers in the system. When a customer departs from a station, he either goes back to the same station or to the other station with equal probabilities. The service rate at station 1 is 4/hr and the service rate at station 2 is 6 / hr. There is a single server at each station and all service times are exponentially distributed. Compute the expected number of customers at each station in the long run. (Recall that in a stable M/ M /1 queue with arrival rate A and service rate ,a, the long run probability of having it customers for n = 0, 1T 2, . . . is given as (1 )()\"-)

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