Bounds and comparisons of the loss ratio in queues driven by an M/M/∞ source.

Duffield, N. G. and Daley, D. J. (1994) Bounds and comparisons of the loss ratio in queues driven by an M/M/∞ source. (Preprint)

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Abstract

We obtain upper bounds for the loss probability in a queue driven by an M/M/∞ source. The bound is compared with exact numerical results, and with bounds for two related arrivals models: superposed two state Markov fluids, and the Ornstein—Uhlenbeck process. The bounds are shown to behave continuously through approximation procedures relating the models.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:10
Last Modified: 18 Jul 2018 14:44
URI: http://dair.dias.ie/id/eprint/705

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