Overlap Distributions in the M/G/∞ Tandem Queue
O.J. Boxma, L. van Kreveld
2025, v.31, Issue 3-4, 205-232
ABSTRACT
We study the distributions of the overlap number and the overlapping time that a tagged customer experiences in a network of two infinite server queues in series. While allowing general service time distributions in both queues, we specify the results in some detail for the cases of exponential and deterministic service time distributions. We furthermore outline how one can obtain joint overlap number distributions in more general feedforward networks of infinite server queues.
doi:10.61102/1024-2953-mprf.2025.31.3-4.002
Keywords: infinite server, tandem queue, overlap number, overlap time
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