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Исследование полумарковской модели технического обслуживания с целью оптимального выбора вида ремонта.
Надежность. 2010. № 2 (33). С. 44–53.
Priority areas:
engineering science
Language:
Russian
Keywords: математическое моделированиеОптимальное управлениеуправляемый полумарковский процесспринцип максимума Понтрягинаоднородная марковская рандомизированная стратегия управленияаддитивный функционал доходастареющее распределениематематическая теория управленияоптимальное управлениетеория вероятностей и случайные процессыколичественные характеристикиоптимизация надежностилинейные интегральные уравнения
Stepanyants V., Долгов И. М., Хорошилов Г. С. et al., Труды Института системного программирования РАН 2026 Т. 38 № 3 С. 95–110
Highly automated and connected vehicles are gradually entering the market. Currently, solutions are being proposed that allow these technologies to be used for cooperative driving automation, which can significantly improve traffic safety. Such technologies and their software should be tested to ensure safety before being implemented in real systems. Verification and validation of vehicular control ...
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Tikhonov R., Efendiev M. T., Fedotenkov A. A., 2026 International Russian Smart Industry Conference (SmartIndustryCon) 2026 P. 542–547
High-fidelity simulation environments like CARLA and ROS are essential for connected and automated vehicle research. They allow researchers to verify and validate new software and technology without the time, financial, and safety overheads of real-world testing. However, their operation requires considerable expertise for creating platform-specific scenario configuration files, which complicates the research workflow. This paper ...
Added: May 11, 2026
М.: ООО «Макс Пресс», 2026.
В настоящем сборнике представлены тезисы докладов участников семинара "Интеграция основного и дополнительного физико-математического образования", проходившего 11 февраля 2026 года в ГБОУ Школа №2007 ФМШ г. москвы, а также другие публикации, посвящённые вопросам дополнительного физико-математического образования. ...
Added: May 11, 2026
Novikov R., Sivkin V., Inverse Problems 2026 Vol. 42 No. 4 Article 045009
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for
the Helmholtz equation in an exterior region in Rd, d ⩾ 2. In this region, we consider a hyperplane X with sufficiently large distance s from the origin in Rd. We give two-point local formulas
for approximate recovering the radiation ...
Added: May 11, 2026
Hecht M., Hofmann P., Wicaksono D. et al., IMA Journal of Numerical Analysis 2026 Vol. 00 P. 1–30
Recent advances in Bernstein—Walsh theory have extended Bernstein’s Theorem to multiple dimensions, stating that a multivariate function can be approximated with a geometric rate in a downward-closed polynomial space if and only if it is analytic in a generalized Bernstein polyellipse. To compute approximations of this class of functions—which we term Bos–Levenberg–Trefethen–(BLT) functions—we extend the ...
Added: May 11, 2026
Los Alamitos: IEEE Computer Society, 2026.
It is a great pleasure for us to welcome you on behalf of the conference committees, to the 11th IEEE International Conference on Smart Cloud (IEEE SmartCloud 2026), we are glad that we can have this international conference in New York city, USA. Now, please allow us to introduce the IEEE SmartCloud 2026 conference. The ...
Added: May 10, 2026
Avdoshin S. M., Pesotskaya E. Y., Информационные технологии 2026 Т. 32 № 4 С. 185–194
With the rapid advancement of artificial intelligence, and deep learning in particular, models have emerged that are capable of delivering highly accurate predictions. However, the internal logic of such models remains difficult to interpret—an issue of critical importance, especially in domains where the correctness of an algorithm directly affects high-stakes decision-making. One promising avenue for ...
Added: May 8, 2026
Avdoshin S. M., Pesotskaya E. Y., Business Informatics 2026 Vol. 20 No. 1 P. 7–28
The rapid development of artificial intelligence (AI) is accompanied by increasing computational
complexity and decreasing model transparency, which significantly limits its adoption in critical
domains that require a high level of trust, interpretability, and justification of decisions. Under these
conditions, the field of Explainable Artificial Intelligence (XAI) has gained particular importance as it
focuses on approaches and technologies that ...
Added: May 8, 2026
Varnavsky A., IEEE Access 2026 Vol. 14 P. 37487–37508
Puzzles are an excellent tool for learning computer science and programming, fostering increased interest, engagement, and motivation among students, as well as developing logical, critical, and computational thinking. Among beginner programmers, Parson's Programming Puzzles are quite popular, aimed at mastering the basic syntactic and logical constructs of programming languages. However, as students' skills grow, their ...
Added: May 7, 2026
Ismagilov T., Mukosey A., Smirnov F. et al., International Journal of High Performance Computing Applications 2026 Vol. 40 No. 2 P. 240–253
One of the most important aspects of supercomputer development in the post-Moore era is the interconnect technologies that allow one to unite a multitude of processing elements into a well-synchronized computing system. Novel types of supercomputer interconnect require careful benchmarking and compliance with the requirements of modern hardware trends. GPU-based heterogeneous computing is one of ...
Added: May 7, 2026
Kelbert M., Kalimulina E. Y., Entropy 2026 Vol. 28 Article 536
We study binary hypothesis testing for i.i.d. observations under a multiplicative context
weight. For the optimal weighted total loss, defined as the sum of weighted type-I and typeII losses, we prove the logarithmic asymptotic L∗n = exp{−nDwC (P,Q) + o(n)}, n →∞, where Dw
C is the weighted Chernoff information. The single-letter form of the exponent
relies on ...
Added: May 7, 2026
Белоусов Н. М., Черепанов Л. К., Деркачов С. Э. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 44
We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero–Sutherland system. For this we study two families of Baxter operators related to hyperbolic Calogero–Sutherland and rational Ruijsenaars models; the first one as a limit from hyperbolic Ruijsenaars system, while the second one independently. Besides, computing asymptotics of integral representations and also ...
Added: May 6, 2026
Муравьев М. Ю., Annales mathématiques du Québec (Канада) 2025
Recently Rohleder proposed a new variational approach to an inequality between the Neumann and Dirichlet eigenvalues in the simply connected planar case using the language of classical vector analysis. Interpreting his approach in terms of differential forms permits to generalize these results to a much broader context. The spectrum of the absolute boundary problem for ...
Added: May 6, 2026
Цыганов А. В., Порубов Е. О., Теоретическая и математическая физика 2026 Т. 227 № 2 С. 336–355
Теория тензорных инвариантов обыкновенных дифференциальных уравнений и классификация Картана простых алгебр Ли используется для установления изоморфизма задачи Козлова о движении ферромагнетика в магнитном поле и задачи Шоттки о движении четырехмерного твердого тела. Найдены новые полиномиальные и рациональные бивекторы Пуассона, инвариантные либо относительно пары коммутирующих фазовых потоков, либо относительно одного из пары потоков. ...
Added: May 5, 2026
Yasnitsky L., Голдобин М. А., Мезенцев А. С., Прикладная математика и вопросы управления 2025 № 2 С. 99–116
Представлен обзор современных методов и основанных на них программных
инструментах, применяемых для математического моделирования серийных производственных процессов с целью снижения брака и повышения качества производимых изделий. Перечисляются группы работ, нацеленных на обнаружение и классификацию дефектов, работ, в которых решаются задачи прогнозирования образования дефектов и определения значимости параметров, работ направленных на поиск
оптимального сочетания технологических параметров изготовления изделий, ...
Added: May 5, 2026
Монахова Э. А., Монахов О. Г., Rzaev E. et al., Прикладная дискретная математика 2026 Т. 71 С. 112–127
В настоящей работе исследовано совместное конструирование топологий семейств оптимальных по диаметру циркулянтных сетей $C(N; \pm 1, \pm s_2)$ и реализуемых для них оптимальных алгоритмов маршрутизации сложности $O(1)$. Предлагаемый алгоритм маршрутизации основан на использовании масштабируемых параметров $L$-образных шаблонов плотной укладки графов на плоскости для семейств оптимальных сетей.
Определены аналитические формулы зависимости этих параметров от диаметра графов семейств ...
Added: May 4, 2026
Sosnin E. I., Vasil’ev Y. L., Solovyev R. A. et al., Computer Optics 2025 Vol. 49 No. 6 P. 1129–1137
In this article, we present a new unique dataset for dental research – AlphaDent. This dataset is based on the DSLR camera photographs of the teeth of 295 patients and contains over 1200 images. The dataset is labeled for solving the instance segmentation problem and is divided into 9 classes. The article provides a detailed ...
Added: May 4, 2026
Назаренко А. Г., Федоров М. В., Moshkin A. et al., Вестник Росздравнадзора 2026 № 1 С. 14–29
Multimodal foundation models and medical multimodal large language models are establishing a new class of diagnostic clinical decision support systems capable of operating on heterogeneous data sources, including medical imaging (X-ray, CT, MRI, ultrasound, histopathology), physiological signals (ECG, EEG), clinical text (electronic health records, reports, discharge summaries), laboratory measurements, molecular profiling data, and related modalities. ...
Added: May 4, 2026
Honolulu: IEEE, 2025.
International Conference on Computer Vision Workshops (ICCVW), Honolulu, HI, USA, 2025 ...
Added: May 3, 2026
Vinokurov Y., Kofanov Y. N., Sotnikova S., В кн.: Инновационные, информационные и коммуникационные технологии: сборник трудов XXII Международной научно-практической конференции. Москва, 2025.: Ассоциация выпускников и сотрудников ВВИА им. проф. Жуковского, 2025. С. 129–134.
В статье представлены результаты разработки и валидации комплексной математической модели в виде ненаправленного графа для конкретного применения, а именно для проведения виртуальных тепловых испытаний электронной аппаратуры. Предложена структура модели, включающая четыре подмодели: тепловых процессов внутри аппаратуры, взаимодействия с испытательным оборудованием, внешнего температурного воздействия, взаимодействия с оснасткой и с измерительной системой. Описаны методы получения исходных данных ...
Added: May 1, 2026
Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...
Added: April 20, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Урюпин И. В., Vlasenko A., Мир транспорта 2024 Т. 22 № 4 (113) С. 94–103
The price of transportation (rate) is one of the key factors in the development of the air transportation system (ATS) of any country, in particular of the Russian Federation. In turn, the formation of the rate directly depends on the cost price of transportation and its components. Forecasting and modelling the cost prices considering the ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Экономика и математические методы 2024 Т. 60 № 2 С. 92–104
At present, in an unstable geopolitical situation, one of the most important tasks for the Russian Federation is the creation of advanced domestic aircraft that will not be inferior to its foreign counterparts. The cost of operating is the main criterion in the design of a new aircraft to ensure competitiveness in air transport systems. ...
Added: February 24, 2026