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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

Vinod Sharma
Vinod Sharma*
Affiliation:
University of California, Los Angeles
*
∗Present address: Department of Electrical Engineering, Indian Institute of Science, Bangalore 560012, India.
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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.

Keywords

STOCHASTIC CONTINUITYSTATIONARY DISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 4 , December 1988 , pp. 797 - 807
Copyright
Copyright © Applied Probability Trust 1988 

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References

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