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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 1–17
DOI: https://doi.org/10.33048/semi.2022.19.001 (Mi semr1477) 		 
Probability theory and mathematical statistics

Stability and instability of a random multiple access system with an energy harvesting mechanism

A. V. Rezlera, M. G. Chebuninba

a Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
b Karlsruhe Institute of Technology, Institute of Stochastics, Karlsruhe, 76131, Germany
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DOI: https://doi.org/10.33048/semi.2022.19.001
Abstract: We introduce a generalisation of the model of the classical synchronised multiple access system with a single transmission channel controlled by a randomised transmission protocol (ALOHA) and additionally equipped with an energy harvesting mechanism. The generalisation is the assumption that messages may receive an unlimited amount of energy.
Keywords: Markov chains, ALOHA algorithm, generalised Foster criterion, ergodicity, transience.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1675
Received November 1, 2021, published January 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 519.724
MSC: 60K25, 90B15
Language: Russian
Citation: A. V. Rezler, M. G. Chebunin, “Stability and instability of a random multiple access system with an energy harvesting mechanism”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 1–17
Citation in format AMSBIB
\Bibitem{RezChe22}
\by A.~V.~Rezler, M.~G.~Chebunin
\paper Stability and instability of a random multiple access system with an energy harvesting mechanism
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 1--17
\mathnet{http://mi.mathnet.ru/semr1477}
\crossref{https://doi.org/10.33048/semi.2022.19.001}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4377429}
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