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

Sergey Foss; Bruce Hajek; Andrey M. Turlikov

doi:10.1134/S0032946016020058

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

Sergey Foss, Bruce Hajek, Andrey M. Turlikov

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	61-71
Number of pages	11
Journal	Problems of Information Transmission
Volume	52
Issue number	2
DOIs	https://doi.org/10.1134/S0032946016020058
Publication status	Published - 2016

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

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