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Управляемые полумарковские процессы в условиях ограничений на стратегии управления и построение оптимальных стратегий в моделях надежности и безопасности
Математические заметки. 2021. Т. 109. № 4. С. 571–580.
We study the structure of a distribution for which a linear fractional functional attains an extremum in the case of uncountably many linear constraints. Several examples of how these mathematical results can be used to analyze controlled reliability and safety models are given.
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252
During magnetospheric perturbations a relatively thin current sheet with thickness about several
proton gyroradii forms in the Earth’s magnetotail. In a framework of the kinetic model describing current
sheet thinning in the magnetotail, the processes of its formation are investigated depending on the normal
magnetic field magnitude which affects both the current sheet structure and particle dynamics within ...
Added: April 27, 2026
Tsareva O. O., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2026 Vol. 52 No. 2 P. 179–185
The influence of asymmetry of plasma sources on the structure and spatial localization of a superthin
current sheet (STCS) supported by demagnetized electrons is studied using a self-consistent model. The
simulation takes into account the presence of a single plasma source in the northern hemisphere, which
makes the plasma flow asymmetric. It is demonstrated that the asymmetry of ...
Added: April 27, 2026
Pochinka O., Yakovlev E., Shmukler V., Russian Journal of Nonlinear Dynamics 2026
Every discrete dynamical system (cascade) generated by a homeomorphism induces a continuous
dynamic system (flow) — a suspension. However, not every flow is equivalent to a suspension
over a cascade, a necessary and sufficient condition for this is the existence of a global
section for the flow. In the case of the existence, the flow is equivalent to ...
Added: April 24, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 25
We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP ...
Added: April 23, 2026
Kazaryan M., Lando S., Kodaneva N., Journal of Geometry and Physics 2026 No. 225 Article 105841
Weight systems associated to the Lie algebras 𝔤𝔩(N) for N = 1,2,... can be unified into auniversal one. The construction is based on an extension of the 𝔤𝔩(N) weight systems to permutations. This universal weight system takes values in the algebra of polynomials C[N;C1,C2,...] in infinitely many variables. We show that under the substitution Cm ...
Added: April 23, 2026
Kychkin A., Chernitsin I., Прикладная информатика 2026 Т. 21 № 1 С. 40–58
The results of the development of a software microservice embedded in atmospheric air quality monitoring systems to support the identification of industrial pollution sources are presented. The emission and subsequent spread of harmful substances in the lower layers of the atmosphere is dynamic and characterized by high uncertainty due to the specific features of technological ...
Added: April 23, 2026
IEEE, 2026.
Added: April 21, 2026
Galkin O., Galkina S., Ястребова И. Ю., Журнал Средневолжского математического общества 2026 Т. 28 № №1 С. 11–30
Polynomials of least deviation from zero play an important role in the theory and practice of numerical methods. They can be used to solve problems of optimizing the properties of various computational algorithms. Our work is devoted to the study of polynomials of least deviation from zero on a ray in the exponential norm. In ...
Added: April 20, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Petrov I., Doklady Mathematics 2026 Vol. Volume 112 P. S103–S110
This paper examines games on networks with linear best responses, which allow for the analysis of how interaction structures influence agents’ strategic behavior. Special attention is given to intervention issues in such models, particularly in selecting optimal intervention strategies aimed at maximizing the central planner’s objective function. Two main control policies are analyzed: individual agent ...
Added: April 17, 2026
A. V. Pereskokov, Theoretical and Mathematical Physics 2026 Vol. 226 No. 3 P. 470–484
We consider the spectral problem for a hydrogen atom in orthogonal electric and magnetic fields with
an additional self-consistent field. We obtain an asymptotic expansion of self-consistent energy levels.
We find an asymptotic expansion of asymptotic eigenfunctions near the sphere |q| = 2. We calculate the
asymptotics of their norm in the space L2(R3). ...
Added: April 12, 2026
Kolachev N., Адамский А. И., Drozdov D. et al., Моделирование и анализ данных 2026 Т. 16 № 1 С. 157–176
Context and relevance. Despite the widespread adoption of the competency-based approach in higher education, a gap remains between the understanding of competence as a dynamic process and the tools available for its design and management. Dominant practices of learning outcomes assessment rely on static “snapshots,” which limits the possibilities for forecasting and purposeful development of competence. ...
Added: April 10, 2026
Zvereva V., Вопросы экономики 2026 № 4 С. 100–129
This paper examines the hypothesis of asymmetric responses of bank interest rates to restrictive and accommodative monetary policy conducted by the Bank of Russia across different market segments, industries, and macroregions over the period 2017—2025. Using a Markov-switching error-correction model, the paper estimates the effects of monetary policy shocks, households’ inflation expectations, firms’ price expectations, ...
Added: April 8, 2026
Petropavlovsky S., Turkel E., Journal of Computational Physics 2026 Vol. 558 Article 114880
We propose a method for the numerical computation of the 3D time-harmonic scattering about objects of complex shape. Our approach relies on the method of difference potentials combined with the lacunae-based integration of the Helmholtz equation. The former allows to handle curvilinear boundaries of scattering shapes on regular Cartesian grids with no loss of accuracy. ...
Added: April 6, 2026
Кочкаров Р. А., Кочкаров А. А., Яцкин Д. В., Хроноэкономика 2019 № 5 С. 5–14
The paper considers the problems associated with finding solutions to transport and logistics
problems, identifying optimal solutions and their changes caused by changes in the conditions of the
problem. The described approach was developed both to formalize the conditions of tasks and to evaluate the
effectiveness of solutions. The issues of structural changes in transport and logistics systems ...
Added: March 7, 2025
Kashtanov V., Гнеденко Д. В., Демидов С. С. et al., , in: Analytical and Computational Methods in Probability TheoryVol. 10684: Analytical and Computational Methods in Probability Theory.: Berlin: Springer, 2017. P. 1–8.
Aleksander Dmitrievich Soloviev was an outstanding Russian mathematician. He had developed an efficient methods in the mathematical reliability theory and in the theory of queues. This paper contains a short account of his life and work. ...
Added: February 3, 2023
Kashtanov V., Зайцева О. Б., Надежность и качество сложных систем 2021 № 2(34) С. 13–23
В статье исследуются управляемые модели надежности при ограничении на стратегии управления. Математическая задача сводится к поиску экстремума дробно-линейного функционала, характеризующего качество функционирования системы и качество управления, по множеству функций распределения, определяющих периодичность проведения плановых восстановительных работ. Особенности постановки задачи заключаются в том, что вводятся ограничения на распределения, выражаемые ограничениями на линейные функционалы, но число таких ...
Added: November 17, 2021
Нужный А. С., Однолько И. С., Глухов А. Ю. et al., Прикладная математика и вопросы управления 2021 № 1 С. 7–22
The paper proposes a mathematical model to optimize the operation of the tar hydrocracking unit.
The purpose of modeling is to improve the economic effect of product output by selecting optimal parameters,
such as hydrogen flow rate and reactor temperature. Hot Filtered Precipitation (HFT) is used as a target.
The model involves the search for the minimum value ...
Added: April 11, 2021
Ratnikov F., Journal of Instrumentation 2020 Vol. 15 No. 5 Article 05032
Design of new experiments, as well as upgrade of ongoing ones, is a continuous process in the experimental high energy physics. Frontier R&Ds; are used to squeeze the maximum physics performance using cutting edge detector technologies. The evaluation of physics performance for particular configuration includes sketching this configuration in Geant, simulating typical signals and backgrounds, ...
Added: February 4, 2021
Chemodanov D., Esposito F., Calyam P. et al., IEEE Transactions on Network and Service Management 2019 Vol. 16 No. 1 P. 127–142
Virtual network services that span multiple data centers are important to support emerging data-intensive applications in fields such as bioinformatics and retail analytics. Successful virtual network service composition and maintenance requires flexible and scalable “constrained shortest path management” both in the management plane for virtual network embedding (VNE) or network function virtualization service chaining (NFV-SC), ...
Added: December 3, 2019
Kashtanov V., , in: Analytical and computational methods in probability theory and its applications (ACMPT-2017). Proceedings of the International Scientific Conference.: M.: RUDN, 2017. P. 26–30.
The functionals constructed on trajectories of the controlled semi- Markov process with a finite set of states are investigated. Theorems of functionals’ structure (dependences on the probability measures defining the Markov homogeneous randomized strategy of control) and of structure of probability measures on which the extremum of these functionals is reached, are formulated. Examples are ...
Added: December 17, 2017
P. V. Shnurkov, Working papers by Cornell University. Series math "arxiv.org" 2017 No. 1709.03442v1 P. 1–16
In this paper, a general stochastic model with controls applied at the moments
when the random process hits the boundary of a given subset of the state set is
proposed and studied. The general concept of the model is formulated and its
possible applications in technical and economic systems are described. Two versions
of the general stochastic model, the ...
Added: December 13, 2017
Kondrashova E. V., Зайцева О. Б., Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Германия) 2017 Vol. 10684 P. 65–74
We study a single-channel queuing system with an arbitrary distribution of the duration of service requirements, on the input of which there are n Poisson processes. The requirements of the various processes come in di erent queues. The task is to determine the rule for selecting service requirements and to determine the optimal strategy for establish- ...
Added: October 25, 2017