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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.

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research