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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 735–754
DOI: https://doi.org/10.33048/semi.2023.29.043 (Mi semr1606) 		 
Probability theory and mathematical statistics

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

A. V. Rezlerab, M. G. Chebuninc

a Novosibirsk State University 2, Pirogova str., Novosibirsk, Russia
b Saint-Petersburg University of Aerospace Instrumentation, Bolshaya Morskaya str. 67, 190000, Saint-Petersburg, Russia
c Karlsruhe Institute of Technology, Institute of Stochastics, Karlsruhe, 76131, Germany
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DOI: https://doi.org/10.33048/semi.2023.29.043
Abstract: We study 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 as well as self-discharge mechanism and suppose that message batteries may receive an unlimited amount of energy.
Keywords: Markov chains, ALOHA algorithm, energy harvesting, self-discharge, generalised Foster criterion, ergodicity, transience.
Funding agency Grant number
Russian Science Foundation 22-19-00305
Received November 5, 2022
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 and self-discharge mechanism”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 735–754
Citation in format AMSBIB
\Bibitem{RezChe23}
\by A.~V.~Rezler, M.~G.~Chebunin
\paper Stability and instability of a random multiple access system with an energy harvesting and self-discharge mechanism
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 735--754
\mathnet{http://mi.mathnet.ru/semr1606}
\crossref{https://doi.org/10.33048/semi.2023.29.043}
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