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Customers arrive at a single-service facility according to a Poisson process with rate > 0. When two or fewer customers are present, a single attendant
Customers arrive at a single-service facility according to a Poisson process with rate > 0. When two or fewer customers are present, a single attendant operates the facility. However, when there are three or more customers at the facility, the attendant is joined by an assistant. The attendant and assistant serve customers independently, with the distribution of the attendant being Exp(2), and the distribution of the assistant is Exp(1). The system has a buer with innite capacity for any customer that is not in service. Find the generator (innite number of states of course) of the chain that expresses the number of customers in the system (line plus service). Be sure to include the state space
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