Convex comparison of service disciplines in real time queues

Mathematics – Probability

Scientific paper

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Scientific paper

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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