Математика список научных статей
-
Performance bounds and suboptimal policies for multi-class queue
In this paper, we consider a general class of a queuing system with multiple job types and flexible service facility. We use a stochastic control policy to determine the performance loss in multi-class M/M/1 queue. The considered system is originally a Markov decision processes (MDP). The author...
2019 / Madankan A. -
Сингулярные стохастические уравнения леонтьевского типа в терминах текущих скоростей решения
Изучается система стохастических дифференциальных уравнений, в левой и правой частях которых стоят прямоугольные постоянные числовые матрицы, образующие сингулярный пучок. Система рассматривается в терминах текущих скоростей решения, являющихся прямым аналогом физической скорости детерминированных...
2019 / Машков Евгений Юрьевич, Тютюнов Дмитрий Николаевич -
Finite non-commutative associative algebras as carriers of hidden discrete logarithm problem
The article introduces new finite algebras attractive as carriers of the discrete logarithm problem in a hidden group. In particular new 4-dimensional and 6-dimensional finite non-commutative algebras with associative multiplication operation and their properties are described. It is also proposed...
2019 / Moldovyan N.A., Moldovyan A.A. -
On some inverse coefficient problems with the pointwise overdetermination for Mathematical models of filtration
We examine inverse problems of recovering coefficients in a linear pseudoparabolic equation arising in the filtration theory. Boundary conditions of the Neumann type are supplemented with the overtermination conditions which are the values of the solution at some interior points of a domain. We...
2019 / Shergin S.N., Safonov E.I., Pyatkov S.G. -
Численное моделирование конвективного тепломассопереноса в сферических координатах
Целью исследования является построение дискретного аналога обобщенного дифференциального уравнения, описывающего конвекцию в вязкой несжимаемой жидкости в сферических координатах. Математическая модель конвективного тепломассопереноса в вязкой несжимаемой жидкости задается системой дифференциальных ...
2019 / Боков Александр Викторович, Корытова Марина Александровна, Самаров Александр Борисович -
Balance on Nash in "soft" control problems for systems of the hierarchal type
This paper discusses the hierarchical system, which includes the Center, symbolizing the global interests of the system and control objects (CO), perform guidance Center, but at the same time pursuing its own local interests. In the first phase, the Centre produces a decision, taking into account...
2019 / Menshikh V.V., Orlova D.E. -
On the existence of an integer solution of the relaxed Weber problem for a tree network
The problem of finding the optimal arrangement of vertices of a tree network in the installation space representing a finite set is considered. The criterion of optimality is the minimization of the total cost of deployment and the cost of communications. Placement of different tree vertices in one ...
2019 / Panyukov A.V. -
Modelling the flow of character recognition results in video stream
The paper considers problems of developing stochastic models consistent with results of character image recognition in video stream. A set of assumptions that define the models structure and properties is stated. A class of distributions, namely the Dirichlet distribution and its generalizations,...
2018 / Arlazarov V.V., Slavin O.A., Uskov A.V., Janiszewski I.M. -
Априорные оценки для метода Галеркина с разрывными базисными функциями на разнесенных сетках для однородной задачи Дирихле
В данной работе представлены априорные оценки точности решения однородной краевой задачи для эллиптического уравнения методом Галеркина с разрывными базисными функциями на разнесенных сетках. Для аппроксимации исходного эллиптического уравнения с известными начально-краевыми условиями методом...
2018 / Жалнин Руслан Викторович, Масягин Виктор Федорович -
Stochastic Leontief type equations with impulse actions
By a stochastic Leontief type equation we mean a special class of stochastic differential equations in the Ito form, in which there is a degenerate constant linear operator in the left-hand side and a non-degenerate constant linear operator in the right-hand side. In addition, in the right-hand...
2018 / Mashkov E.Yu. -
Оптимизация точки старта в задаче последовательного обхода мегаполисов при наличии условий предшествования
Рассматривается задача маршрутизации перемещений с ограничениями и функциями стоимости, допускающими зависмость от списка заданий. Предполагается, что начальное условие процесса с дискретным временем может выбираться в пределах метрического пространства, удовлетворяющего условию полной...
2018 / Ченцов Александр Георгиевич, Ченцов Павел Александрович -
A synthesis of pseudo-Boolean empirical models by precedential information
The problem of decision-making based on partial, precedential information is the most important when the creation of artificial intelligence systems. According to the results of observations over the behaviour of external objects or systems it is necessary to synthesize or, more precisely, extract...
2018 / Donskoy V.I. -
Mathematical model of a wide class memory oscillators
A mathematical model is proposed for describing a wide class of radiating or memory oscillators. As a basic equation in this model is an integro-differential equation of Voltaire type with difference kernels memory functions, which were chosen by power functions. This choice is due, on the one...
2018 / Parovik R.I. -
Разработка и анализ быстрого псевдоспектрального метода решения нелинейных задач Дирихле
Разработан метод численного решения 1D, 2D и 3D краевых задач Дирихле для нелинейных уравнений эллиптического типа. Метод основан на применении чебышевских приближений искомой функции, не имеющих насыщения, и нового подхода к формированию и решению задач линейной алгебры при дискретизации исходных...
2018 / Семисалов Борис Владимирович -
The rate of convergence of hypersingular equations numerical computation
Numerical methods for solving hypersingular equations based on Chebyshev polynomials of the second kind with a weight taking into account the Meixner physical conditions on the edge are developed. We obtained estimates of the rate of convergence using the analytical form of the matrix of an...
2018 / Eminov S.I., Petrova S.Yu. -
Stochastic model of optimal dynamic measurements
Under consideration is the stochastic model of optimal dynamic measurements. To solve this problem, the theory of optimal dynamic measurements which has actively been developing for the deterministic problems is extended to the stochastic case. The main purpose of the model is to restore a...
2018 / Zamyshlyaeva A.A., Keller A.V., Syropiatov M.B. -
Boundary Inverse problem for star-shaped graph with different densities strings-edges
The paper is devoted to the mathematical modelling of star-shaped geometric graphs with n rib-strings of different density and the solution of the boundary inverse spectral problem for Sturm-Liouville differential operators on these graphs. Earlier it was shown that if strings have the same length...
2018 / Akhtyamov A.M., Mamedov Kh.R., Yilmazoglu E.N. -
Population models with projection matrix with some negative entries - a solution to the Natchez paradox
In this note we consider the population the model of which, derived on the basis of ethnographical accounts, includes a projection matrix with both positive and negative entries. Interpreting the eventually negative trajectories as representing the collapse of the population, we use some classical...
2018 / Banasiak J. -
Lord Kelvin and Andrey Andreyevich Markov in a queue with single server
We use Lord Kelvin's method of images to show that a certain infinite system of equations with interesting boundary conditions leads to a Markovian dynamics in an L1-type space. This system originates from the queuing theory.
2018 / Bobrowski A. -
Sturm-Liouville abstract problems for the second order differential equations in a non commutative case
In this paper we prove some new results on Sturm Liouville abstract problems of the second order differential equations of elliptic type in a new non-commutative framework. We study the case when the second member belongs to a Sobolov space. Existence, uniqueness and optimal regularity of the...
2018 / Kaid M., Ould Melha K.