Improved bounds for queues with delayed arrivals

Improved bounds for queues with delayed arrivals

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Article ID: iaor20003135
Country: Netherlands
Volume: 28
Issue: 4
Start Page Number: 295
End Page Number: 316
Publication Date: Jul 1998
Journal: Queueing Systems
Authors: ,
Abstract:

Improved bounds are developed for a queue where arrivals are delayed by a fixed time. For moderate to heavy traffic, a simple improved upper bound is obtained which only uses the first two moments of the service time distribution. We show that our approach can be extended to obtain bounds for other types of delayed arrival queues. For very light traffic, asymptotically tight bounds can be obtained using more information about the service time distribution. While an improved upper bound can be obtained for light to moderate traffic it is not particularly easy to apply.

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