A note on convexity of the expected delay cost in single-server queues

A note on convexity of the expected delay cost in single-server queues

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Article ID: iaor20073882
Country: United States
Volume: 53
Issue: 3
Start Page Number: 568
End Page Number: 570
Publication Date: May 2005
Journal: Operations Research
Authors: ,
Abstract:

In this note, we show that the expected delay cost for a G/G/1 queue is not necessarily convex in the arrival rate as sometimes claimed in the literature. We can prove, however, that the total expected delay cost rate is convex in the arrival rate. This cost rate is often of interest when designing queueing systems.

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