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Blocked network of tandem queues with withdrawal. (English) Zbl 1003.60086
The author obtains state probabilities for a system of two queues in tandem having one server in the first queue and $$n\geq 1$$ servers in the second queue. Poisson arrivals access the system through the first queue. Service times for the first and for the second queue are exponential IID with rates $$\mu_1$$ and $$\mu_2$$, respectively. The service discipline is first-come, first-served with unlimited waiting space before the first service and with no waiting space between the two services.

MSC:
 60K25 Queueing theory (aspects of probability theory) 90B22 Queues and service in operations research
Keywords:
state probabilities