A retrial queueing system with processor sharing and impatient customers by V. I. Klimenok

“…A condition for the existence of a stationary distribution is found, and algorithms for calculating the stationary distribution and stationary performance characteristics of the system are proposed.Methods. Methods of probability theory, queueing theory and matrix theory are used.Results. …”
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Prediction of Network Threats and Attacks by Mathematical Simulation by Daniil Doroshenko

“…The research uses mathematical methods such as probability theory, game theory, graph models, and statistical approaches to build models that allow to reproduce the dynamics of threats in real networks. …”
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Intensity of water consumption in separate water collection points of internal water supply system by D. E. Polivanov, A. A. Semenov

“…The data were processed and analyzed using methods of probability theory and mathematical statistics. Data processing was performed in C# and R programmes developed by the author, and visualization of the results in Microsoft Excel.Results. …”
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Information support for decision making in problem situation description by S. F. Lipnitsky

“…Methods of set theory, probability theory and graph theory are used.Results. A mathematical model of user information support at the stage of describing a problem situation has been developed. …”
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A Dynamic Discretization Algorithm for Learning BN Model: Predicting Causation Probability of Ship Collision in the Sunda Strait, Indonesia by Iis Dewi Ratih, Ketut Buda Artana, Heri Kuswanto, Dhimas Widhi Handani, Renata Zahabiya

“…This method delineates the relationships among diverse and complex random variables in the form of a diagram grounded in conditional probability theory. It considers both categorical and continuous variables. …”
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A probabilistic stress-strain relationship model for steel bars including the non-uniform corrosion effects in chloride environments by Qin Zhang, Xinguo Guo, Haitao Zhao, Dongkang Hu, Xianglin Gu, Rongqing Li

“…Based on the test results and probability theory, the non-uniformity of corrosion for corroded steel bars was statistically analyzed, and a probability model of stress-strain relationship of corroded steel bars considering the influences of non-uniform corrosion was further established. …”
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Risk assessment method for the organization of environmental safety in the sphere of residential and industrial construction by A. N. Larionov, E. E. Smirnova

“…A new method is developed that combines quantitative assessment of environmental risk based on probability theory, semi-quantitative approach with risk matrices, and qualitative assessment based on the assessment of the probability of occurrence and the size of damage for each scenario. …”
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Evaluating the Influence of Taxation Levels on the Degree of Economic Freedom of Countries by Kateryna Moskvychova, Olena Korohodova, Tetiana Moiseienko, Natalya Chernenko, Yaroslava Hlushchenko

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Quantitative Evaluation of Top Coal Caving Methods at the Working Face of Extra-Thick Coal Seams Based on the Random Medium Theory by Shi Jiulin, Zhang Quntao, Gao Xiaojin, Xue Jisheng

“…Then, the caving body and coal-rock settlement along the working face during the caving process are studied based on both the random media theory and probability theory. Accordingly, the optimal caving interval and caving sequences are determined, and a novel interval symmetrical coal caving method is proposed. …”
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PRECISION AND STABILITY OF THE PREDICTION FORMULA FOR BURST STRENGTH OF PRESSURE-BEARING CYLINDER by LIU Cen, YANG Fan, WU SengLin, HONG Kai, ZHANG Shu, LIU XiaoNing

“…To provide a basis for selecting formulas or extending their applied ranges,applying probability theory and mathematical statistics,a comparison and evaluation method of formula stability and precision was established. …”
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Measuring. Monitoring. Management. Control by S.V. Logunov, E.V. Blagodyrenko, I.S. Gerasimenko, N.A. Kupriyanov

“…Then, using the known provisions of probability theory, the error thresholds were determined. …”