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Probability theory and mathematical statistics
Stability and instability of a random multiple access model with adaptive energy harvesting
S. Fossab, D. Kimc, A. Turlikovd a Heriot-Watt University, EH14 4AS, Edinburgh, UK
b S.L. Sobolev Institute of Mathematics and Novosibirsk State University,
630090, Novosibirsk, Russia
c Kazakh National Research Technical University named after K. I. Satpaev
and “EcoRisk” LLP, Satpaev str. 22, 050013, Almaty, Kazakhstan
d St.-Petersburg University of Aerospace Instrumentation,
B. Morskaya 67, 190000, St.-Petersburg, Russia
Abstract:
We introduce a model for the classical synchronised multiple access system with a single transmission channel and a randomised transmission protocol (ALOHA). We assume in addition that there is an energy harvesting mechanism, and any message transmission requires a unit of energy. Units of energy arrive randomly and independently of anything else. We analyze stability and instability conditions for this model.
Keywords:
random multiple access, stochastic energy harvesting, (in)stability, ALOHA algorithm, generalized Foster criterion.
Received November 30, 2015, published February 2, 2016
Citation:
S. Foss, D. Kim, A. Turlikov, “Stability and instability of a random multiple access model with adaptive energy harvesting”, Sib. Èlektron. Mat. Izv., 13 (2016), 16–25
Linking options:
https://www.mathnet.ru/eng/semr653 https://www.mathnet.ru/eng/semr/v13/p16
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