Stability and continuity for slotted ALOHA with stationary non-independent input traffic

Stability and continuity for slotted ALOHA with stationary non-independent input traffic

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Article ID: iaor1989339
Country: United Kingdom
Volume: 25
Issue: 4
Start Page Number: 797
End Page Number: 807
Publication Date: Dec 1988
Journal: Journal of Applied Probability
Authors:
Keywords: communication
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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