English

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

Probability 2016-07-12 v3

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.

Keywords

Cite

@article{arxiv.1304.7626,
  title  = {Stability of a Random Multiple Access Channel with "Success-Failure" Feedback},
  author = {Sergey Foss and Bruce Hajek and Andrey Turlikov},
  journal= {arXiv preprint arXiv:1304.7626},
  year   = {2016}
}

Comments

11 pages, ! figure

R2 v1 2026-06-22T00:08:01.277Z