Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (225 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/semr905
  • https://www.mathnet.ru/eng/semr/v15/p135
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:271
    Full-text PDF :67
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024