A. V. Rezler, M. G. Chebunin, “Stability and instability of a random multiple access system with an energy harvesting mechanism”, Sib. Èlektron. Mat. Izv., 2022, Volume 19, Issue 1,Pages <nobr>1

Probability theory and mathematical statistics

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

A. V. Rezler^a, M. G. Chebunin^ba

^a Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
^b Karlsruhe Institute of Technology, Institute of Stochastics, Karlsruhe, 76131, Germany

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.

UDC: 519.724

MSC: 60K25, 90B15

Received November 1, 2021, published January 11, 2022

DOI: 10.33048/semi.2022.19.001