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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 135–152
DOI: https://doi.org/10.17377/semi.2018.15.014 (Mi semr905) 		 
Probability theory and mathematical statistics

Spatially decentralized protocols in random multiple access networks

M. G. Chebuninab, E. I. Prokopenkoab, A. S. Tarasenkoab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, str. Pirogova, 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.014
Abstract: We analyse a spatial ALOHA-type random multiple-access protocol in a stochastic network with local interactions. We formulate and prove a stability criterion and provide convergence rates to stationarity. Finally, we compare various ALOHA-type protocols in a symmetric network.
Keywords: ALOHA protocol, random multiple access, spatial interactions, spatially decentralized protocol, positive recurrence, (in)stability, Foster criterion.
Funding agency Grant number
Russian Foundation for Basic Research 17-41-543024_р_мол_а
Received January 22, 2018, published February 12, 2018
Bibliographic databases:
Document Type: Article
UDC: 621.394.74
MSC: 60K25;90B15
Language: Russian
Citation: M. G. Chebunin, E. I. Prokopenko, A. S. Tarasenko, “Spatially decentralized protocols in random multiple access networks”, Sib. Èlektron. Mat. Izv., 15 (2018), 135–152
Citation in format AMSBIB
\Bibitem{CheProTar18}
\by M.~G.~Chebunin, E.~I.~Prokopenko, A.~S.~Tarasenko
\paper Spatially decentralized protocols in random multiple access networks
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 135--152
\mathnet{http://mi.mathnet.ru/semr905}
\crossref{https://doi.org/10.17377/semi.2018.15.014}
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