An explicit solution to a tandem queueing model

An explicit solution to a tandem queueing model

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Article ID: iaor20003164
Country: Netherlands
Volume: 30
Issue: 3/4
Start Page Number: 261
End Page Number: 272
Publication Date: Dec 1998
Journal: Queueing Systems
Authors:
Keywords: tandem queues
Abstract:

We consider two queues in tandem, each with an exponential server, and with deterministic arrivals to the first queue. We obtain an explicit solution for the steady state distribution of the process (N1(t), N2(t), Y(t)), where Nj(t) is the queue length in the jth queue and Y(t) measures the time elapsed since the last arrival. Then we obtain the marginal distributions of (N1(t), N2(t)) and of N2(t). We also evaluate the solution in various limiting cases, such as heavy traffic.

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