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Convex comparison of service disciplines in real time queues

✍ Scribed by P. Moyal

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
232 KB
Volume
36
Category
Article
ISSN
0167-6377

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✦ Synopsis

We present a comparison of the service disciplines in real time queueing systems (the customers have a deadline before which they should enter the service booth). We state that giving priority to customers having an early deadline minimizes the average stationary lateness. We show this result by comparing adequate random vectors with the Schur convex majorization ordering.

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## Abstract The determination of steady‐state characteristics in systems of tandem queues has been left to computer simulation because of the lack of exact solutions in all but the simplest newtorks. In this paper, several methods developed for approximating the average waiting time in single‐serve