An explicit solution to a tandem queueing model |
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Authors: | Knessl Charles |
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Institution: | (1) Department of Mathematics, Statistics and Computer Science (M/C 249), University of Illinois at Chicago, Chicago, IL 60607, USA |
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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.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | tandem queues deterministic arrivals |
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