A mathematical model and algorithm for software implementation of assigning priorities to tasks performed in the information system and characterized by a number of properties are developed. The algorithm presented verbally and in the form of a block diagram. The model was developed using decision theory, logic algebra, relation theory, and set theory. Ranking by structural criteria allows you to combine tasks pertaining to different applications in groups with the same priority, which increases the efficiency of the information and computing system. The results were confirmed during simulation and testing.

Keywords: priority setting, dispatching algorithm, mathematical model, real-time systems, autonomous scripts, information flow control, comparison of multi-criteria alternatives, ranking, flowchart

The article deals with the dynamics of an ion beam in a tandem laser mass-reflectron. The software package that implements the mathematical model of the ion beam motion is based on the "large - particle" method.it takes into account the influence of the spatial charge field and the interaction of ions with the field of the electrodynamic system. The potential distribution in the device nodes is obtained by numerical solution of the Laplace equation using the mathematical package Freefem++, which implements the solution of partial differential equations by the finite element method. The absence of inhomogeneity of the electric field inside the reflectors is shown. A series of numerical experiments has been carried out, which has shown the convenience of using the finite element method for numerical solution of problems of electrostatics and ion optics, as well as the effectiveness of using numerical modeling to develop and optimize the parameters of mass spectrometers.

Keywords: large particle method, laser mass spectrometer, particle-particle method, electrodynamic system, Runge-Kutta method, laser plasma, ion beam, focusing system, triangulation, gas-forming impurities, time-of-flight mass spectrometer

The work consists of two parts and is devoted to a comparative analysis of the declared cognitive and actually perceived affective relations to friendship. It is based on the results of a pilot survey conducted at DSTU at the end of 2019, in order to comprehensively measure the two components of students ' friendly attitudes. In the first part of the work, the rationale for the need for such complex measurements is given, and the method used to identify the cognitive component that we associate with the declared attitude is briefly shown. The results of the hierarchy of factors that describe various aspects of the structure of the cognitive perception of friendship are presented. It is found that the primary 11 characteristics that were used for the survey in the questionnaire are statistically dependent, and at the next level they are reduced to three indicators: moral relationships in friendship, interpersonal interaction in friendship, and the impact of friendship on life in General. At the higher level, these factors, in turn, are reduced to one integral indicator of the cognitive perception of friendship. The distribution functions by respondents for all these factors are given in the next part of the paper. Where they are used for comparative analysis.

Keywords: friendship, pilot survey, cognitive component, hierarchical factorization method, distribution functions, affective component, comparative analysis

The paper analyzes the use of Arnold transform for digital image scrambling. The proposed algorithm is implemented as part of the developed Luka library of medical image processing in the DICOM format, and provides additional cryptographic and steganographic protection of the patient’s personal data. The issues of evaluating the effectiveness of the developed software module using the structural similarity index are considered.

Keywords: Arnold transform, scrambling, peak signal to noise ratio, standard deviation, structural similarity index, DICOM, SSIM

The article describes the technique of resource-intensive (in terms of computing resources) and accurate assessment of the thermal mode of electron-ic equipment. The method involves the consist use of software packages “AN-SYS” and “ASONIKA–TM” to calculate temperature pattern that occurs dur-ing operation of the device. Accounting result in “ANSYS” is used as a thermal boundary condition of the first kind for the calculation in “ASONIKA–TM”

Keywords: thermal processes, heat exchange, control system, launch vehicle, finite element method, FEM, ANSYS, ASONIKA – TM

The article is devoted to the collection and processing of data for training a predicting model of road accidents involving pedestrians.To identify the factors affecting the accidents was analysed of statistical information taken from the "Open Data Portal of the Moscow Government" and the portal "Safe Roads.RF", as well as from the accident cards on traffic police website.

Keywords: traffic accident, data analysis, pedestrian safety, machine learning, gradient boosted decision trees

The advantages of using frequency converters are well known. First of all, this is a significant energy savings due to the regulation of the rotational speed of the electric motor. In addition, ensuring a smooth frequency start using frequency converters significantly reduces thermal and mechanical loads when starting synchronous motors with a rotor excitation winding and with permanent magnets. In this paper, the start-up of a synchronous motor with a two-link frequency converter for various types of load was investigated. The following issues were considered: - creation of a three-phase two-link frequency converter model for a synchronous drive; - calculation of the torque on the shaft at rated power, as well as coefficients reflecting the nature of the load; - simulation of the start-up and operation of a synchronous motor and a two-link frequency converter with fan, conveyor and constant shaft loads. In conclusion, the model of a two-link frequency converter with a synchronous motor, which was researched in this paper, can be used in systems where the considered types of loads are used. This circuit has high energy characteristics, reliability and stability, and is also able to reduce the amplitude values ​​of currents and time of transient processes at start-up

Keywords: two-link frequency converter, permanent magnet synchronous motor, mathematical model, reliability, PSIM

This article provides an overview of scientific papers that describe the use of machine learning methods for various tasks in rehabilitatin medicine. Examples of studies and their main results are given. At the moment, a simulator for wrist joint restoration is being developed. The use of simulators to restore the hand can be associated with the finger movements determination on a healthy hand. This problem requires a classification of movements and can be solved by using machine learning. This article presents the results of the development of classifiers for determining finger movements. The following methods were used: logistic regression, the support vector machine, and the neural network. The database obtained by using electromyographic sensors was used to train and test the models. Classification results are also compared with the results of original studies. The most effective method for classifying finger movements was selected and justified.

Keywords: rehabilitation, machine learning, neural networks, classification of movements, wrist simulator

A model of a household refrigeration machine (BHM) is considered. The refrigerating capacity, thermal load are determined, the compressor and operational parameters are calculated, the cycle of the chiller in p-i coordinates is built.

Keywords: household refrigerator, temperature, refrigerator, heat load, cooling capacity, compressor, heat influx

Based on the mathematical models describing the equally forgetful robots with equivalent emotions, we introduced the definition of elementary education of human digital twins. Method for calculating the parameters of such education was created. This technique is based on experimental data. At the paper at hand, we proposed methods for calculating the coefficients of soft and hard psychological influence of digital twins on each other as a result of their communication. Computer program for calculating these coefficients was described.

Keywords: robot, mathematical modeling, human digital twin, robot interaction, psychological influence, robot emotional training, group of robots, computer program, psychological experiments, processing of experimental results

The paper presents a solution to the problem of photographic input metrological control of industrial products based on the method of structural approximation synthesis and analysis of one-dimensional structural images. Mathematical models of structural images, algorithms for their synthesis, analysis and interpretation of processing results are described. The results of experimental testing of the proposed algorithms are presented, allowing to evaluate their computational efficiency and reliability of the metrological control procedure.

Keywords: metrological control, image processing, pattern recognition, structural approximation method, dynamic programming

This paper describes the problems of identifying effective sales channels for services working with a call center. The solution is presented in the form of a multi-level model of sales channels that works with call tracking with a limited number of phone numbers. This approach can be applied in services of small and medium-sized businesses, which cannot afford a large number of phone numbers for call tracking.

Keywords: sales channel, contextual advertising, call tracking, call center, marketing, Yandex Direct, Google AdWords

A new classification of methods for constructing Voronoi graphs on maps represented by point and polygonal obstacles is proposed. Based on the topology of space, it is proposed to classify the constructed Voronoi graphs as external and internal. Thus, Voronoi graph construction methods can calculate either one of the presented types of Voronoi graphs, or both types. The introduced concepts and the proposed classification will be useful for robotics researchers using the Voronoi graph method when planning the path of mobile robots in various environments.

Keywords: Voronoi graph, classification, Voronoi diagram, weighted graph, topology

The paper demonstrates the objective need of improvment of information security systems in terms of development of information and telecommunications equipment. The theorems that describe the properties of parametric solutions of multigrade diophantine equation systems (MDES) is presented. The properties are used to develop information security system mathematical models. Also the paper demonstrate generalized Frolov's theorem and author's theorem to enable development information security system mathematical models with Diophantine problems. Author's alphabetical information security system mathematical model in form of tuple is given. Approch to develop disymmetric bigramm information security system (DBISS) based on two-parametric solutions is given. The approach generalize establishing open-key information security system. The direct and inverse transformations is realized through parametric solution that provisionally divided into two parts - for direct transformation and inverse transformation. Also author introduces new concept of equity of number ordered set or set of parameter with given dimension and grade. The DBISS mathematical model is given in the paper. The model is based on the MDES two-parametric solution with given dimension and grade. The decribed mathematical model demonstrate the potentil of diophantine equations to development of information security systems with high reliability.

Keywords: information security system, symmetric cryptosystem, disymmetric cryptosystem, open-key cryptosystem, ecncryption, decryption, multigrade diophantine equation system, parametirc solution, diophantine problems

In this paper we consider some problems of economics and organization of construction which can be solved by linear programming method. In the first problem it is required to determine the set of construction machines for excavation of given amount of soil to minimize the cost of work execution. In the second problem the earth is transported from two pits and it is required to determine how much earth must be digged from each of the two pits to provide for the minimum cost of transportation.

Keywords: soil excavation, sand, crushed stone, minimum cost, linear programming, two-phase simplex-method

The article introduces the definition of a robot, its intuition and insights, proposes decision-making algorithms for an emotional robot with non-absolute memory, based on the introduced definitions. It is noted that in order to verify the correctness of the robot making decisions using intuition or insights, a logical or experimental verification of the adequacy of the decisions is necessary. The article introduces the definition of robot hypnosis and the definition of a hypnotist robot, as well as the determination of the suggestibility coefficients of a robot; mathematical models and the algorithm of the hypnotic state of robots based on the mathematical theory of emotional robots are given; ways to ensure the safety of robots for humans and personal devotion of the robot to a particular person are proposed. Both methods are based on the proposed hypnosis models.

Keywords: robot; emotions mathematical models; Artificial Intelligence; intuition; insight; hypnosis

The study of the internal friction of electrolytic coatings is complicated by the impossibility of obtaining sufficiently massive samples and testing them independently of the substrate, and therefore it is necessary to evaluate the stress state of the sample-coating system. The aim of the work was to find a relationship between the internal stresses arising in the coating deposited on a circular cross-section specimen during internal friction tests using a torsion pendulum. During the analysis of the stress-strain state of the bimallic sample, expressions were found to calculate the maximum and minimum stresses in the electrolytic coating. The mutual influence of the coating material and the substrate was evaluated numerically using the Comsol Multiphysics program.

Keywords: internal friction, internal stresses, torsion pendulum, beam rotation, electrolytic coatings

This article analyzes the sphere of the organization of business collective discussions and identifies key problems in this area, as well as proposes a new method for increasing communication efficiency through the use of special software.

Keywords: networking, collective discussion, communication effectiveness, networking organization, networking app

The mathematical model of coordination of private and public interests in the implementation of innovations in the case of multiple agents is studied. It takes into account the presence of two management levels, which are a supervisor and several agents. The relationship between the supervisor and the agents is based on a hierarchy in accordance with the information regulations of Stackelberg games. The incentive method is used as a method of hierarchical management. Algorithms for constructing equilibria for different information regulations are specified. The numerical implementation of the proposed algorithms is based on simulation. The analysis of the obtained results is given.

Keywords: Stackelberg game, Stackelberg game with feedback, hierarchy, simulation, innovation, motivation, supervisor, agents

Using the concept of the model-based design, this article considers the stages of generating the C-code of the engine control algorithm using the Embedded Coder and STM32 Embedded Target tools for Matlab/Simulink. For the example of the chosen stm32 microcontroller, its peripherals will be initialized and connected to the graphical model of the algorithm. In addition, a description of all the blocks and their functions of the resulting model is provided. At the last stage, the C code is generated, ready for loading it into the microcontroller and further controlling the motor as part of the electric drive.

Keywords: Model-based design, Matlab/Simulink, STM32, the control algorithm, STM32 Embedded Target, Embedded Coder

The article deals with the issue of automation of technological production of dispersed materials. The mathematical model of dry charge dosing is described. A fast Fourier transform (FFT) method is proposed for the analysis of acoustic emission signals. The conclusion is made about the economic aspect of production and the accuracy of dosing fractions.

Keywords: automation of production, technology, dispersion composition, the method of fast Fourier transform

The study is set to determine room's air exchange scheme's influence on exhaust ventilation appliances' effectiveness. Open-type exhausts (exhaust ventilation hoods) used in different industrial manufacturing processes are selected. In particular, a food processing working space with an adjacent meat heat-treating chamber, where ventilation hood is installed near an open doorway, is evaluated. Two options of supply air ducts' installation (air inflow in the center of a working space or, alternatively, side areas of it) are analysed. Geometrical models of heat-treating chamber, raw material loading room, ventilation hood placed over chamber's door, and supply air duct with air-distributing appliances are constructed. The article presents results of numerical simulation for the model of heat-treating chamber's exhaust ventilation system operation. It is established that, in case of a supply ducts' installation in a side areas of a room, an air exchange could be lowered by 28% under condition of a removal of a gas-air mixture without breaching into the room.

Keywords: exhaust ventilation, ventilation hood, simulation, heat-treatment chamber, numerical experiment

Many organizations in the process turn to services related to the delivery of different categories of cargo. Transport logistics is responsible for the process of moving the required amount of cargo to a given point using the optimal route. At the same time, there is often an additional restriction - the delivery of cargo to a given point should be carried out strictly during a certain time interval. The presence of time restrictions lead to the fact that the routes formed without their consideration are not permissible. This article considers developing a solution of the planning and optimizing routes problem with time constraints.

Keywords: route, route planning, route optimization, time constraints, vehicle route problem

In this paper, we consider the simulation of a 5.1 kW synchronous electric motor with a two-link frequency converter with a control system that monitors the speed on the shaft in the PSIM simulation environment. IGBT M2TKI-50-12 manufactured by Elektrovypryamitel Saransk were selected for the load current. In this case, the load on the shaft abruptly changed from 1.25 to 2 of the nominal value. Presented are graphs of current, output power, motor speed and torque on the shaft.

Keywords: permanent magnet synchronous motor, PSIM, two-link frequency inverter, spasmodic load variation

The article presents the results of experiments to study the possibilities of short-term forecasting of financial time series using various types of forecasting algorithms. There are results of testing of ARIMA method and Long short-term memory algorithm on a data set wich describes the value of the US dollar relative to the Russian ruble for one day, to predict the future value of the indicator under study. The estimation of the accuracy of forecasting of each of the methods and their suitability for solving such problems is made.

Keywords: forecasting, time series, neural networks, finance, regression algorithms, data analysis, reccurent neural networks, python, numpy, pandas, keras