Index:rinc

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

Simple Model of Nonlinear Spin Waves in Graphene Structures

A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, among other things, to the prospects of …

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

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

Implementation Difficulties Analysis of Stochastic Numerical Runge-Kutta Methods

This article discusses stochastic numerical methods of Runge-Kutta methods with weak and strong convergences for systems of stochastic differential equations in the Ito form. At …

dmitry-sergeevich-kulyabov

Markov-modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms

The article is devoted to the application of Markov modulated arrival processes (Markov modulated Poisson process — MMPP, Markov modulated Bernoulli process — MMBP and Markov …

ivan-sergeevich-zaryadov