Index:scopus

The General Renovation as the Active Queue Management Mechanism. Some Aspects and Results

This work is devoted to some aspects of using the general renovation (the definition and brief overview are given) as the active queue management mechanism (like RED (Random Early …

viana-c.-c.-hilquias

Statistically Significant Comparative Performance Testing of Julia and Fortran Languages in Case of Runge–Kutta Methods

In this paper we compare the performance of classical Runge–Kutta methods implemented in Fortran and Julia languages. We use the technique described in technical report by Tomas …

migran-nelsonovich-gevorkyan

Software Package Development for the Active Traffic Management Module Self-oscillation Regime Investigation

Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The problem of finding the areas of self-oscillations …

tatyana-refatovna-velieva

Parametric study of the control system in the TCP network

Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks so the investigation of parameters of self-oscillations …

tatyana-refatovna-velieva

Pseudo-random number generator based on neural network

In this paper we consider pseudo-random uniformly distributed number generators, such as xorshift and KISS. We also provide C++ implementation source code snippets of these …

migran-nelsonovich-gevorkyan

Software Package For The Active Queue Management Module Model Verification

Self-oscillation modes in control systems of data transmission networks negatively affect the characteristics of these networks. To investigate the self-oscillation mode for …

tatyana-refatovna-velieva

The Riemannian Geometry is not Sufficient for the Geometrization of the Maxwell's Equations

The transformation optics uses geometrized Maxwell's constitutive equations to solve the inverse problem of optics, namely to solve the problem of finding the parameters of the …

dmitry-sergeevich-kulyabov

Software Implementation of the Eikonal Equation

The Maxwell equations have a fairly simple form. However, finding solutions to Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are …

dmitry-sergeevich-kulyabov

Automatic Code Generation for Stochastic Runge–Kutta Methods

In this paper we consider in detail the realization of Runge–Kutta stochastic numerical methods with weak and strong convergence for systems of stochastic differential equations in …

migran-nelsonovich-gevorkyan

Algorithm for Lens Calculations in the Geometrized Maxwell Theory

Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in this case it is a direct problem. However …

dmitry-sergeevich-kulyabov

The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library

SymPy computer algebra library is used for automatic generation of ordinary and stochastic systems of differential equations from the schemes of kinetic interaction. Schemes of …

anastasiya-vyacheslavovna-demidova

Functional Integral Approach to the Solution of a System of Stochastic Differential Equations

A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. This method is based on the representation of …

edik-artashevich-ayrjan

Two Formalisms of Stochastization of One-Step Models

To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number of works different approaches to …

dmitry-sergeevich-kulyabov

The Methodology of Studying of Active Traffic Management Module Self-oscillation Regime

Self-oscillating modes in computer networks control systems quite negatively affect the characteristics of these networks. The problem of finding the areas of self-oscillations is …

dmitry-sergeevich-kulyabov

Regularized Computation of Oscillatory Integrals with Stationary Points

Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems in optics, electrodynamics, quantum mechanics, nuclear physics, and many other …

konstantin-petrovich-lovetskiy

Issues in the Software Implementation of Stochastic Numerical Runge–Kutta

This paper discusses the application of stochastic Runge-Kutta-like numerical methods with weak and strong convergences for systems of stochastic differential equations in Itô …

migran-nelsonovich-gevorkyan

Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System

When modeling such phenomena as population dynamics, controllable flows, etc., a problem arises of adapting the existing models to a phenomenon under study. For this purpose, we …

migran-nelsonovich-gevorkyan

Characteristics of Lost and Served Packets for Retrial Queueing System with General Renovation and Recurrent Input Flow

The retrial queuing system with general renovation is under investigation. The mechanism of general renovation with retrials means that the packet at the end of its service in …

e.-v.-bogdanova

The approach to investigation of the the regions of self-oscillations

Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The problem of finding the areas of self-oscillations …

tatyana-refatovna-velieva

The Criteria for the Study of Occurrence of Self-Oscillation Mode of Active Traffic Management Module

In data networks, a negative phenomenon such as global synchronization can occur. It manifests itself in the form of auto-oscillations, which may capture the whole segment of the …

tatyana-refatovna-velieva