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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 896–905 (Mi semr534)  
Probability theory and mathematical statistics

Random multiple access with common energy harvesting mechanism

D. K. Kimab, A. M. Turlikovc, S. G. Fossde

a Kazakh National Technical University after K. I. Satpaev
b ТОО “EcoRisk”
c Saint-Petersburg State University of Aerospace Instrumentation
d Heriot-Watt University, EH14 4AS, Edinburgh, UK
e Novosibirsk State University
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Abstract: We consider classical synchronised multiple access system with a single transmission channel, randomised transmission protocol (ALOHA) and additional common energy supply mechanism: any message requires charging energy for transmission. There are two stochastic renewal inputs to the system, of messages and of energy supply. We study conditions on these inputs for (in)stability of the system.
Keywords: random multiple access; ALOHA algorithm; stochastic energy supply; (in)stability; generalised Foster criterion.
Received October 24, 2014, published December 1, 2014
Document Type: Article
UDC: 519.724
MSC: 60K25, 90B15
Language: Russian
Citation: D. K. Kim, A. M. Turlikov, S. G. Foss, “Random multiple access with common energy harvesting mechanism”, Sib. Èlektron. Mat. Izv., 11 (2014), 896–905
Citation in format AMSBIB
\Bibitem{KimTyuFos14}
\by D.~K.~Kim, A.~M.~Turlikov, S.~G.~Foss
\paper Random multiple access with common energy harvesting mechanism
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 896--905
\mathnet{http://mi.mathnet.ru/semr534}
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