On the Distribution of the First Break Down in the Wireless D2D Communication with Cashing


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Abstract

The numerical simulation of the distribution of the period before the first break down in the wireless D2D communication is analyzed while the transmitters and receivers are moving in stochastic manner. The random trajectories are generating with the use of non-stationary Fokker-Planck equation for coordinates difference on the finite plane. The effect of cashing on the duration of continuous connection is investigated. The generation method for non-stationary stochastic process trajectories enables to solve several problems in the area of stochastic control, connecting with self-organization effects, and for analysis of steady connection between transmitter and receiver devices in wireless network.

About the authors

Yu. N. Orlov

Department of Kinetic Equations, Keldysh Institute of Applied Mathematics of RAS; Department of Applied Informatics and Probability, Peoples’ Friendship University of Russia (RUDN University)

Author for correspondence.
Email: orlmath@keldysh.ru
Russian Federation, Moscow, 125047; Moscow, 117198

A. A. Russkov

Department of Kinetic Equations, Keldysh Institute of Applied Mathematics of RAS; Department of Applied Informatics and Probability, Peoples’ Friendship University of Russia (RUDN University)

Email: orlmath@keldysh.ru
Russian Federation, Moscow, 125047; Moscow, 117198

Yu. V. Gaidamaka

Department of Applied Informatics and Probability, Peoples’ Friendship University of Russia (RUDN University); Institute of Informatics Problems, Federal Research Center “Computer Science and Control”
of the Russian Academy of Sciences

Email: orlmath@keldysh.ru
Russian Federation, Moscow, 117198; Moscow, 119333

K. E. Samouylov

Department of Applied Informatics and Probability, Peoples’ Friendship University of Russia (RUDN University); Institute of Informatics Problems, Federal Research Center “Computer Science and Control”
of the Russian Academy of Sciences

Email: orlmath@keldysh.ru
Russian Federation, Moscow, 117198; Moscow, 119333

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