On the Stability of D2D Connection with the Use of Kinetic Equation for SIR Empirical Distribution

The numerical simulation of the signal to interference ratio distribution in the wireless D2D communication is analyzed using means of kinetic equation. We consider the model of transmitters and receivers motion, which is mechanically determined, but the distribution function, mentioned above, is non-stationary. The signal to interference ratio for devices, performing a random walk, is described with the use of a non-stationary Fokker-Planck equation with respect to a sample distribution of this parameter. The empirical distribution of the periods with continuous connection is numerically constructed for the real scheme of deterministic motion of Moscow metro trains. © Springer Nature Switzerland AG 2019.

Authors
Orlov Y. 1, 2 , Ivchenko A. 2 , Podzharaya N. 1 , Sochenkova A. 1 , Shorgin V. 3 , Birukou A. 1 , Gaidamaka Y. 1, 3 , Samouylov K. 1, 3
Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Language
English
Pages
111-124
Status
Published
DOI
10.1007/978-3-030-36614-8_9
Volume
11965 LNCS
Year
2019
Organizations
  • 1 Applied Informatics and Probability Department, Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya St. 6, Moscow, 117198, Russian Federation
  • 2 Kinetic Equations Department, Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, Moscow, 125047, Russian Federation
  • 3 Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Vavilov St. 44-2, Moscow, 119333, Russian Federation
Keywords
D2D communication; Kinetic equation; Mathematical modeling; Moscow metro; Non-stationary random walk; SIR distribution function; Wireless communication
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