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., 2023, Volume 20, Issue 2,Pages <nobr>735

Probability theory and mathematical statistics

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

A. V. Rezler^ab, M. G. Chebunin^c

^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

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.

UDC: 519.724

MSC: 60K25,90B15

Received November 5, 2022

DOI: 10.33048/semi.2023.29.043