On the distribution of the time of the first communication release in wireless networks with caching

Orlov, Yuri; Russkov, A.; Gaidamaka, Julia; Samouylov, Konstantin

doi:10.31857/S023408790001180-2

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Matematicheskoe modelirovanie

Number 8

On the distribution of the time of the first communication release in wireless networks with caching

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On the distribution of the time of the first communication release in wireless networks with caching

PII

S023408790001180-2-1

DOI

10.31857/S023408790001180-2

Publication type

Article

Status

Published

Authors

Yuri Orlov

Affiliation:
Keldysh Institute of Applied Mathematics of RAS
Peoples’ Friendship University of Russia (RUDN University)
Address: Russian Federation

A. Russkov

Affiliation: Keldysh Institute of Applied Mathematics of RAS, Peoples’ Friendship University of Russia (RUDN University)
Address: Russian Federation

Julia Gaidamaka

Affiliation: Peoples’ Friendship University of Russia (RUDN University), Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of RAS
Address: Russian Federation

Konstantin Samouylov

Journal name

Matematicheskoe modelirovanie

Edition

Volume 30 Number 8

Pages

131-142

Abstract

The function analyzes the time distribution of the first communication failure in D2D wireless networks as a function of the caching time, assuming that subscribers make a nonstationary random walk. This distribution function is constructed numerically on the basis of generation of an ensemble of nonstationary trajectories, a series of incremental increments of which is determined by solving the Fokker-Planck equation in the unit square in the plane with mirror reflection conditions from the boundaries. This method allows you to effectively solve the problems of stochastic control and analyze the conditions for the stability of connections in wireless networks.

Keywords

wireless connection, caching, kinetic equation, random walk modeling, time distribution of the first clipping

Received

04.10.2018

Publication date

04.10.2018

Number of characters

606

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GOST	Orlov Y., Russkov A., Gaidamaka J., Samouylov K. On the distribution of the time of the first communication release in wireless networks with caching // Matematicheskoe modelirovanie – 2018. – V. 30. – Number 8 C. 131-142 [Electronic resource]. URL: http://ras.jes.su/mmod/s207987840000182-9-2-en (circulation date: 04.05.2024). DOI: 10.31857/S023408790001180-2
MLA	Orlov, Yuri, Russkov, A., Gaidamaka, Julia, Samouylov, Konstantin "On the distribution of the time of the first communication release in wireless networks with caching." Matematicheskoe modelirovanie 30.8 (2018):131-142. DOI: 10.31857/S023408790001180-2
APA	Orlov Y., Russkov A., Gaidamaka J., Samouylov K. (2018). On the distribution of the time of the first communication release in wireless networks with caching. Matematicheskoe modelirovanie 30(8), pp.131-142 DOI: 10.31857/S023408790001180-2

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