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Stability and continuity for slotted ALOHA with stationary non-independent input traffic
Published online by Cambridge University Press: 14 July 2016
Abstract
Slotted ALOHA with a finite number of users, each with infinite buffer, is considered. For stationary, metrically transitive, non-independent input, the problem of existence of stationary queue length distributions is solved. Results are obtained for zero and arbitrary (finite a.s.) initial conditions. Continuity, in probability, of queue lengths with respect to input sequence is proved.
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- Copyright © Applied Probability Trust 1988
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