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: 24.01.2025). 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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1. Petrov V., Moltchanov D., Kustarev P., Jornet J.M., and Koucheryavy Y. On the use of integral geometry for interference modeling and analysis in wireless networks // IEEE Communications Letters, 2016, v.20, p.2530-2533.

2. Samuylov A., Ometov A., Moltchanov D., Andreev S., Begishev V., Kovalchukov R., Gaidamaka Y., Samouylov K., Koucheryavy Y. Analytical performance estimation of network assisted D2D communications in urban scenarios with rectangular cells // Transactions on Emerging Telecommunications Technologies, 2017, v.28, № 2.

3. Yang K., Zhao Z., Liu J., and Liu Q. H. Robust adaptive beamforming, using an iterative FFT algorithm // Signal Processing, 2014, v.96, p.253-260.

4. Gajdamaka Yu.V., Orlov Yu.N., Molchanov D.A., Samujlov A.K. Modelirovanie otnosheniya signal/interferentsiya v mobil'noj seti so sluchajnym bluzhdaniem vzaimodejstvuyuschikh ustrojstv // Informatika i ee primenenie, 2017, t.11, №2, s.50-58.

5. Orlov Y., Kirina-Lilinskaya E., Samuylov A., Ometov A., Moltchanov D., Gaidamaka Yu., Andreev S., Samouylov K. Time-Dependent SIR Analysis in Shopping Malls Using Fractal Based Mobility Models // Lecture Notes in Computer Science, 10372, p.16-25.

6. Fedorov S.L., Orlov Yu.N. Metody chislennogo modelirovaniya protsessov nestatsionarnogo sluchajnogo bluzhdaniya. – M: MFTI, 2016.

7. Orlov Yu.N. Kineticheskie metody issledovaniya nestatsionarnykh vremennykh ryadov. – M: MFTI, 2014.

8. Durbin J. Distribution Theory for Tests Based on the Sample Distribution Function. – Society for Industrial & Applied Mathematics, Philadelphia, 1972.

9. Justel A., Pena D., Zamar R. A multivariate Kolmogorov – Smirnov test of goodness of fit. // Statistics & Probability Letters, 1997, v.35, p.251-259.

10. Drew J.H., Glen A.G. and Leemis L.M. Computing the cumulative distribution function of the Kolmogorov-Smirnov statistic // Computational Statistics and Data Analysis, 2000, v.34, p.1-15.