Stability of a Random Multiple Access Channel with "Success-Failure" Feedback

Sergey Foss; Bruce Hajek; Andrey Turlikov

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arXiv · 1304.7626

Stability of a Random Multiple Access Channel with "Success-Failure" Feedback

Sergey Foss·Bruce Hajek·Andrey Turlikov

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Abstract

We consider a model of a decentralized multiple access system with a non-standard binary feedback where the empty and collision situations cannot be distinguished. We show that, like in the case of a ternary feedback, for any input rate \lambda < 1/e, there exists a "doubly randomized" adaptive transmission protocol which stabilizes the behavior of the system. We discuss also a number of related problems and formulate some hypotheses.

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Sergey Foss, Bruce Hajek, Andrey Turlikov. 2013-04-29. Stability of a Random Multiple Access Channel with "Success-Failure" Feedback. https://arxiv.org/abs/1304.7626

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