Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model

Andrey K. Samuylov; Anastasia Yu Ivchenko; Yu N. Orlov; Dmitri A. Moltchanov; Ekaterina V. Bobrikova; Yuliya V. Gaidamaka; Vsevolod S. Shorgin

doi:10.1007/978-3-030-01168-0_21

Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model

Andrey K. Samuylov, Anastasia Yu Ivchenko, Yu N. Orlov, Dmitri A. Moltchanov, Ekaterina V. Bobrikova, Yuliya V. Gaidamaka, Vsevolod S. Shorgin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

Abstract

In device-to-device communications, the link quality indicators, such as signal-to-interference ratio (SIR) is heavily affected by mobility of users. Conventionally, the mobility model is assumed to be stationary. In this paper, we use kinetic theory to analyze evolution of probability distribution function parameters of SIR in D2D environment under non-stationary mobility of users. Particularly, we concentrate on elasticity of the SIR moments with respect to parameters of Fokker-Planck equation. The elasticity matrix for average SIR value, SIR variance and time periods, when SIR values is higher than a certain threshold are numerically constructed. Our numerical results demonstrate that the main kinetic parameter affecting SIR behavior is diffusion coefficient. The influence of the drift is approximately ten times less.

Original language	English
Title of host publication	Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings
Publisher	Springer
Pages	224-235
Number of pages	12
ISBN (Print)	9783030011673
DOIs	https://doi.org/10.1007/978-3-030-01168-0_21
Publication status	Published - 2018
Publication type	A4 Article in conference proceedings
Event	International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces - Duration: 27 Aug 2018 → 29 Aug 2018

Publication series

Name	Lecture Notes in Computer Science
Volume	11118
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces
Period	27/08/18 → 29/08/18

Keywords

Device-to-device communications
Kinetic equation
Mathematical modeling
Non-stationary random walk
SIR distribution
Wireless communications

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-030-01168-0_21

Cite this

Samuylov, A. K., Ivchenko, A. Y., Orlov, Y. N., Moltchanov, D. A., Bobrikova, E. V., Gaidamaka, Y. V., & Shorgin, V. S. (2018). Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model. In Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings (pp. 224-235). (Lecture Notes in Computer Science; Vol. 11118). Springer. https://doi.org/10.1007/978-3-030-01168-0_21

Samuylov, Andrey K. ; Ivchenko, Anastasia Yu ; Orlov, Yu N. et al. / Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model. Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings. Springer, 2018. pp. 224-235 (Lecture Notes in Computer Science).

@inproceedings{34bca272b9dc4199bcf42c7294cdb5fa,

title = "Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model",

abstract = "In device-to-device communications, the link quality indicators, such as signal-to-interference ratio (SIR) is heavily affected by mobility of users. Conventionally, the mobility model is assumed to be stationary. In this paper, we use kinetic theory to analyze evolution of probability distribution function parameters of SIR in D2D environment under non-stationary mobility of users. Particularly, we concentrate on elasticity of the SIR moments with respect to parameters of Fokker-Planck equation. The elasticity matrix for average SIR value, SIR variance and time periods, when SIR values is higher than a certain threshold are numerically constructed. Our numerical results demonstrate that the main kinetic parameter affecting SIR behavior is diffusion coefficient. The influence of the drift is approximately ten times less.",

keywords = "Device-to-device communications, Kinetic equation, Mathematical modeling, Non-stationary random walk, SIR distribution, Wireless communications",

author = "Samuylov, {Andrey K.} and Ivchenko, {Anastasia Yu} and Orlov, {Yu N.} and Moltchanov, {Dmitri A.} and Bobrikova, {Ekaterina V.} and Gaidamaka, {Yuliya V.} and Shorgin, {Vsevolod S.}",

note = "jufoid=62555; International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces ; Conference date: 27-08-2018 Through 29-08-2018",

year = "2018",

doi = "10.1007/978-3-030-01168-0_21",

language = "English",

isbn = "9783030011673",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

pages = "224--235",

booktitle = "Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings",

}

Samuylov, AK, Ivchenko, AY, Orlov, YN, Moltchanov, DA, Bobrikova, EV, Gaidamaka, YV & Shorgin, VS 2018, Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model. in Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings. Lecture Notes in Computer Science, vol. 11118, Springer, pp. 224-235, International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces, 27/08/18. https://doi.org/10.1007/978-3-030-01168-0_21

Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model. / Samuylov, Andrey K.; Ivchenko, Anastasia Yu; Orlov, Yu N. et al.
Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings. Springer, 2018. p. 224-235 (Lecture Notes in Computer Science; Vol. 11118).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model

AU - Samuylov, Andrey K.

AU - Ivchenko, Anastasia Yu

AU - Orlov, Yu N.

AU - Moltchanov, Dmitri A.

AU - Bobrikova, Ekaterina V.

AU - Gaidamaka, Yuliya V.

AU - Shorgin, Vsevolod S.

N1 - jufoid=62555

PY - 2018

Y1 - 2018

N2 - In device-to-device communications, the link quality indicators, such as signal-to-interference ratio (SIR) is heavily affected by mobility of users. Conventionally, the mobility model is assumed to be stationary. In this paper, we use kinetic theory to analyze evolution of probability distribution function parameters of SIR in D2D environment under non-stationary mobility of users. Particularly, we concentrate on elasticity of the SIR moments with respect to parameters of Fokker-Planck equation. The elasticity matrix for average SIR value, SIR variance and time periods, when SIR values is higher than a certain threshold are numerically constructed. Our numerical results demonstrate that the main kinetic parameter affecting SIR behavior is diffusion coefficient. The influence of the drift is approximately ten times less.

AB - In device-to-device communications, the link quality indicators, such as signal-to-interference ratio (SIR) is heavily affected by mobility of users. Conventionally, the mobility model is assumed to be stationary. In this paper, we use kinetic theory to analyze evolution of probability distribution function parameters of SIR in D2D environment under non-stationary mobility of users. Particularly, we concentrate on elasticity of the SIR moments with respect to parameters of Fokker-Planck equation. The elasticity matrix for average SIR value, SIR variance and time periods, when SIR values is higher than a certain threshold are numerically constructed. Our numerical results demonstrate that the main kinetic parameter affecting SIR behavior is diffusion coefficient. The influence of the drift is approximately ten times less.

KW - Device-to-device communications

KW - Kinetic equation

KW - Mathematical modeling

KW - Non-stationary random walk

KW - SIR distribution

KW - Wireless communications

U2 - 10.1007/978-3-030-01168-0_21

DO - 10.1007/978-3-030-01168-0_21

M3 - Conference contribution

AN - SCOPUS:85054808451

SN - 9783030011673

T3 - Lecture Notes in Computer Science

SP - 224

EP - 235

BT - Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings

PB - Springer

T2 - International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces

Y2 - 27 August 2018 through 29 August 2018

ER -

Samuylov AK, Ivchenko AY, Orlov YN, Moltchanov DA, Bobrikova EV, Gaidamaka YV et al. Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model. In Internet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings. Springer. 2018. p. 224-235. (Lecture Notes in Computer Science). doi: 10.1007/978-3-030-01168-0_21

Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model

Abstract

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