
Main / Mathematical modeling
Section: "MATHEMATICAL MODELING"
Vladislav Nikolaevich Kovalnogov, Doctor of Sciences in Engineering; graduated from Kazan State University; Head of the Department of HeatandPower Engineering of Ulyanovsk State Technical University; a patent holder, an author of articles, monographs in the field of modeling, research and optimization of the thermal and hydro gasdynamic processes, firing and wind power engineering. email: kvn@ulstu.ruV.N. Kovalnogov,
Yury Andreevich Khakhalev, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Associate Professor at the Department of HeatandPower Engineering of UlSTU; a patent holder; an author of articles in the field of modeling and research of the hydrogasdynamic and thermal processes. email: ulstutdua@mail.ruI.A.Khakhalev,
Ekaterina Vladimirovna Tsvetova, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Associate Professor at the Department of HeatandPower Engineering of UlSTU; a patent holder; an author of articles in the field of modeling and research of the hydrogasdynamic and thermal processes. email: katf0k@mail.ruE.V. Tsvetova,
Larisa Valerevna Khakhaleva, Candidate of Sciences in Engineering; graduated from Ulyanovsk Polytechnic Insitute; Associate Professor at the Department of HeatandPower Engineering of UlSTU; a patent holder; an author of articles in the field of modeling and research of the hydrogasdynamic and thermal processes. email: larvall@mail.ruL.V. Khakhaleva 

Mathematical modeling and numerical study of atmospheric boundary layer near windfarms
The article analyzes Russian and foreign sources relating to the interaction of wind turbines with the surface layers of the atmosphere. It specifies the main problems of mathematical modeling of the atmospheric boundary layer near the wind farms due to adverse meteorological conditions, in particular, constant zero crossings in the autumnwinter period, various precipitation, a wide time range, air parameters, terrain and other features. The authors analyze the evolution of mathematical models of turbulence to describe the boundary layer near wind turbines from earlier to rapidly developing and currently used. To achieve greater accuracy and naturalism, it is proposed to use highperformance efficient algorithms based on combining scales and physics of phenomena. The authors propose a mathematical model for studying the state of the atmospheric polydisperse boundary layer under conditions of the Ulyanovsk wind farm, taking into account the dispersed particles in the flow, surface curvature, pressure gradient and other influences.
Mathematical modeling, model, boundary layer, turbulent flow, wind power, wind farm.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Vladimir Nikolaevich Kliachkin, Doctor of Sciences in Engineering; Professor; graduated from the Mechanical Faculty of Ulyanovsk Polytechnic Institute; Professor at the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical; an author of scientific works in the field of reliability and statistical methods. email: v_kl@mail.ruV.N. Kliachkin,
Anastasiia Valerevna Alekseeva, graduated from the Faculty of Information System and Technologies of Ulyanovsk State Technical University; Postgraduate Student at the Department of Applied Mathematics and Informatics of UlSTU, Standardization Engineer at the Ulyanovsk Design Bureau of Instrumentation; an author of articles in the field of the statistical methods in quality control. email: age89@mail.ruA.V. Alekseeva 

Optimization of parameters of generalized dispersion algorithm at statistical process control
When monitoring a real production process using statistical methods, the question of early detection of violations arises. In most cases, several indicators are monitored simultaneously in the production process, and a change in the values of some indicators leads to a change in others. If there is a dependence of indicators for their monitoring, multivariate statistical control tools are used, in particular generalized variance chart. By varying the parameters of the chart, its efficiency can be significantly increased, this allows minimizing the time the process is in an unstable state. Applying the approach of A. Duncan, which he developed for Shewhart charts, a formula for the expectation of the duration of an unstable state of a process was obtained and a Python program was developed to minimize it. To test the set optimization problem, the calculation of the data of two process indicators is given and the optimal parameters of the generalized variance chart are obtained, at which the duration of the process in an unstable state is minimal.
Scattering stability, generalized variance, duration of unstable process state, optimization task.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Aleksei Vladimirovich Golubkov, graduated from Ilya Ulyanov State Pedagogical University with the Master’s degree in the Methodology of Mathematical Education; Postgraduate Student at the Department of Higher Mathematics of the Faculty of Physics, Mathematics, and Technology Education of Ilya Ulyanov State Pedagogical University; an author of articles and certificates of software registration in the field of mathematical modeling and software engineering. email: kr8589@gmail.comA.V. Golubkov 

On algorithm for detecting changes in the object motion mode
The article deals with the solution to the problem of determining the motion mode of an object along a complex trajectory. A hybrid stochastic model is used to describe a complex trajectory. The solution of the problem is based on the application of a sequential decision rule about the choice at an unknown time of the hypothesis about the current mode of motion, with a limited size of the bank of competing Kalman filters. An algorithm is constructed for calculating the average size of the Kalman filter bank in the case of Mpossible motion modes. The algorithm is developed in a general form, therefore, it can be used not only for the four types of object motion models considered in this paper, but also for any linear discretetime models with Gaussian noise presented by equations in the state space. The algorithm for a priori estimation of the average size of a bank of competing Kalman filters for Mpossible modes of motion is implemented in MATLAB, the results of computer simulation are presented.
Stochastic discrete linear systems, hybrid stochastic model, Kalman filter bank, sequential decision rule.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Viktoria Vladislavovna Ovsiannikova, graduated from the Applied Mathematics Department of the Faculty of Information Systems and Technologies of Ulyanovsk State Technical University; an author of articles in the field of mathematical modeling in quality management problems. email: ovvika17@gmail.comV.V. Ovsiannikova 

The efficiency analysis of generalized variance algorithm under the trend of multidimensional scattering
The generalized variance algorithm is used to control the multidimensional scattering of the process. The generalized variance is understood as the determinant of the covariance matrix of the process. The control efficiency is estimated by the average length of the series, that is the number of observations from the moment of violation of the process to the moment of detection of this violation. Both analytical and numerical methods can be used to estimate the average length of the series for different control types. One of the most common types of the process violation is an abrupt or gradual increase in its dispersion. The aim of the article is to estimate the average length of the series of the generalized dispersion map under the trend of multidimensional scattering.
Multivariate statistical control, average series length, generalized variance, process scattering trend.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Frolova Anastasiia Alekseevna, graduated from the Faculty of Information Systems and Technologies of the Department of Applied Mathematics of Ulyanovsk State Technical University; an author of articles in the field of mathematical modeling in quality management problems. email: anastasya19990916@mail.ruF.A. Alekseevna 

The generalized variance algorithm application in multidimensional statistical control of the process based on individual observations
In practice, the use of instantaneous samples for statistical control of the process is often impossible due to technical conditions or is not economically feasible. In this case, the process is monitored by individual observations. To control the average level of a multiparametric process based on the Hotelling algorithm, appropriate methods have been developed, but when controlling multidimensional scattering based on the generalized variance algorithm, a number of problems arise. Various approaches to the estimation of the generalized variance are proposed in the article, and their comparative analysis is carried out. The practical application of the proposed algorithms is also considered.
Generalized variance, individual observations, sliding range.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Aleksandr Kupriianovich Ivanov, Doctor of Sciences in Engineering; graduated from the Faculty of Physics at Irkutsk State University, completed his postgraduate studies at Bauman Moscow Technical School, doctoral studies at Ulyanovsk State Technical University; Chief Staff Scientist of FRPC JSC ‘RPA ‘Mars’; an author of monographs, tutorial, articles in the field of the mathematical modeling of hierarchical realtime computeraided control systems. email: mars@mv.ruA.K. Ivanov,
Aleksandr Leonidovich Savkin, Candidate of Military Sciences, Associate Professor; graduated from the Ulyanovsk Higher Military Command School of Communications and the Marshal Budjonny Military Academy of Signal Corps; completed his postgraduate studies in the Military Academy of Communications; Head of Science and Engineering Support Department of FRPC JSC ‘RPA ‘Mars’; an author of scientific works, manuals, and articles in the field of the development and modeling of communication control systems, automated information systems. email: mars@mv.ruA.L. Savkin,
Dmitrii Mikhailovich Iastrebov, graduated from the Faculty of Economics and Mathematics of Ulyanovsk State Technical University; Deputy Director General and Head of Complex Research and Development Department of FRPC JSC ‘RPA ‘Mars’; research interests are in the field of computeraided design systems and mathematical modeling. email: mars@mv.ruD.M. Iastrebov,
Sergei Sergeevich Shumilov, graduated from the Radioengineering Faclty of Ulyanovsk State Technical University; Chief Designer of FRPC JSC ‘RPA ‘Mars’; research interests are in the field of computeraided design systems and mathematical modeling. email: mars@mv.ruS.S. Shumilov 

Decisionmaking based on the receptorligand interaction methods
The article deals with the mathematical models of decisionmaking in the management organization systems. The models are based on the receptorligand interaction methods studied in the biokinetics. The article describes an interaction between initial data coming to the organization system and knowledge database generated on the basis of operation experience. The combination of matching pairs creates decisions for resolving problems and achieving the goals. The interaction may take one or more stages. For one stage the models were developed in the form of differential equations when the starting amount of data is not equal to the one in knowledge database. When the amounts are equal, the model is represented as Riccati equation in a special form solving by an indefinite coefficient. The article considers cases when information recourses of initial data and the ones of knowledge database are not uniquely defined. The similar models are developed for two stages of interaction. The article gives the examples of calculation of information recourses amount for a decision in case of different ratios of initial data/ knowledge database.
Organization systems, decisionmaking, mathematical models, receptorligand interaction.



Sections: Automated control systems
Subjects: Automated control systems, Mathematical modeling. 
Viktor Rostislavovich Krasheninnikov, Doctor of Sciences in Engineering, Professor; graduated from Kazan State University; Head of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; an author of articles in the field of statistical methods of signal and image processing. email: kvrulstu@mail.ruV.R. Krasheninnikov,
Iulia Evgenevna Kuvaiskova, Candidate of Sciences in Engineering, Associate Professor; graduated from Ulyanovsk State Technical University; Associate Professor of the Department of Applied Mathematics and Informatics of UlSTU; an author of articles in the field of statistical methods for processing time series systems. email: u.kuvaiskova@mail.ruI.E. Kuvaiskova,
Olga Evgenevna Malenova, Postgraduate Student of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of statistical methods of signal and image processing. email: nikalilu@yandex.ruO.E. Malenova,
Aleksei Iurevich Subbotin, Postgraduate Student of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; graduated from UlSTU; Leading Engineer at FRPC JSC ‘RPA ‘Mars’; an author of articles in the field of statistical methods of signal and image processing. email: ashkael@mail.ruA.I. Subbotin 

Pseudogradient algorithm for identification of doubly stochastic cylindrical image
Nowadays image processing problems are becoming increasingly important due to development of the aerospace Earth monitoring systems, radio and sonar systems, medical devices for early diagnosis, etc. However, the most of the image processing works deals with images defined on rectangular twodimensional grids or grids of higher dimension. In some practical situations images are set on a cylinder, for example images of pipeline sections, blood vessels, rotary parts, etc. The peculiarity of the domain for specifying such images requires its consideration in their models and processing algorithms. The article deals with autoregressive models of cylindrical images and gives some expressions of the correlation function depending on the autoregression parameters are given. To represent heterogeneous images with random heterogeneities, ‘doubly stochastic’ models are used in which one or more images control the parameters of resulted image. The spiral scan of a cylindrical image can be considered as a quasiperiodic process due to the correlation of image rows. The article proposes the pseudogradient algorithms for the modal identification. The statistical modeling proves these algorithms give good model identification.
Cylindrical image, doubly stochastic model, pseudogradient algorithm, quasiperiodic process, identification.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Sergei Ivanovich Makarenko, Doctor of Sciences in Engineering, Associate Professor; graduated from the Military Aviation Engineering University named after Professor N.E. Zhukovsky; Leading Research Associate of the Saint Petersburg Federal Research Center of the Russian Academy of Sciences, Professor at the Department of Information Security of Saint Petersburg Electrotechnical University ‘LETI’; an author of research works, articles, monographs in the field of weapons and military equipment, communication systems, electronic warfare, information warfare, electronic intelligence. email: makserg@yandex.ru.S.I. Makarenko,
Ilia Evgenievich Afonin, Candidate of Sciences in Engineering, Associate Professor; graduated from Zhukovsky Air Force Engineering Academy; Associate Professor at the Department of Air and Radioelectronic Equipment of the Krasnodar Air Force Academy; a author of articles and research works in the field of weapons and military equipment, radar detection; recognition and target designation systems; radar signal processing, information warfare. email: ilyaafonin@yandex.ruI.E. Afonin,
Oleg Andreevich Kopichev, Candidate of Military Sciences; graduated from the Cherepovets Higher Military School of Engineering and Radioelectronics; Academic at the Military University of Radioeelectronics; an author of articles and research works in the field of systems theory, modeling of military engagement, modern military involvement. email: cvviur6@mil.ruO.A. Kopichev,
Alina Sergeevna Mamonchikova, an applicant for a degree of Candidate of Sciences in Engineering; graduated from the Northwestern State Technical University with External Degree Programs; Specialist of the Patent Bureau PAO Information Telecommunications Technologies; an author of articles in the field of dynamic information collisions. email: alinitta33@mail.ruA.S. Mamonchikova 

The general lanchester model defining multilateral conflicts
The analysed studies of combat simulation shows that the theory of dynamic systems, in particular the Lanchester model, is used for dynamic simulation of military conflicts. A large number of Lanchester models, each of which takes into account particular and specific factors, has already existed. However, these models examine a symmetric bilateral conflict. At the same time, in the Lanchester models class there are no models of multilateral conflicts. The purpose of the paper is to form the generalized Lanchester model of a multilateral conflict. The elements of scientific novelty of this model are to take into account different strategies of parties in a multilateral conflict and different conflict levels for the strategies. This model allows us to study the dynamics of resources changes of the conflict parties, to identify local wins and losses in the transition mode of the model, to draw conclusions about the global wins and losses of the parties, to form recommendations about choice of the parties’ strategies and the values of the parameters of their strategies for achieving a global win. The article outlines the ways for further research on the development of this generalized Lanchester model.
Combat simulation, war simulation, Lanchester model, conflict dynamics, multilateral conflict, conflict simulation.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Andrei Valerievich Vertemiagin, graduated from the Kiev Higher Military Engineering School of Communications; Head of a department of JSC ‘Order of the Red Banner of Labor V.S. Semenikhin Scientific Research Institute of Automatic Equipment’ (JSC ‘NIIAA’) in Moscow; an author of articles in the field of computing systems efficiency. email: a.vertemyagin@yandex.ruA.V. Vertemiagin,
Vasilii Grigorevich Litvin, Doctor of Sciences in Engineering, Professor; graduated from the Taganrog Radio Engineering Institute and postgraduate studies at the Institute of Control Sciences of the Russian Academy of Sciences; Chief Specialist at JSC ‘Order of the Red Banner of Labor V.S. Semenikhin Scientific Research Institute of Automatic Equipment’ ‘(JSC ‘NIIAA’) in Moscow; an author of monographs and articles in the field of modeling information and computing systems and networks. email: litvg@mail.ruV.G. Litvin,
Iurii Vasilevich Litvin, Candidate of Sciences in Economics, graduated from the Moscow Engineering Physics Institute; Director of the LLC ‘Research Institute of Economics and Management Organization in the Gas Industry Center’ (LLC ‘NIIgazekonomika’, OJSC ‘Gazprom’) in Moscow; an author of monographs and articles in the field of management and operations research. email: litvinj@simplecs.ruI.V. Litvin 

Performance evaluation of computing system and network objects at different levels of survivability
The article discusses an approach to calculating the performance of objects exposed to adverse effects (AE), based on Markov models of queuing theory operating in a random environment. Three types of models of service queuing systems with an unlimited and a limited queue are investigated differing from each other in the message processing modes performed in the recovery process after AE: (1) incoming messages continue to be executed with a different performance compared to the normal mode; (2) in the process of recovery, incoming messages are accumulated, and processing is blocked; (3) in the process of restoration, no messages are received and no processing of messages already in the queue is carried out.
The modes of operation of objects change as a result of random influences of the external environment (cyberattacks, influences of the external environment or object failures). The models are considered under the simplest assumptions about the distributions of the input flows of messages arriving at the object, their service time, the distributions of the time of occurrence of the AE and the recovery time of the object after that (Poisson flows and exponential time of the considered time intervals). The developed models make it possible to evaluate the design decisions taken from the performance point of view on the organization of message service for a given survivability under stationary assumptions. Numerical examples illustrate the use of models for assessing performance indicators and some indicators of survivability of the objects under study.
Performance, survivability, queuing systems, variable operation, Markov models.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Kirill Nikolaevich Laptev, graduated from the Faculty of Mathematics, Information and Aviation Technologies of Ulyanovsk State University; Postgraduate Student at the Department of Information Technologies of UlSU; Software Engineer at FRPC JSC ‘RPA ‘Mars’; his research interests are in the field of mathematical modeling, Kalman filtering, scientific programming. email: dinx0@yandex.ruK.N. Laptev 

Automation of the maple system calculations
for building the discrete models of the marinevessel course autopilot
The article deals with a script created in the Maple language that allows to check the properties of complete controllability and observability of a mathematical model for a ship’s course autopilot as well as to compute the matrix parameters of a discrete model for its subsequent use when building an adaptive discrete Kalman filter in order to identify the uncertainty parameters of the model.
Course autopilot of a marine vessel, Maple system, discrete model.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Sergei Aleksandrovich Ageev, Doctor of Sciences in Engineering, Associate Professor; graduated from the Radioengineering Faculty of Ulyanovsk Polytechnic Institute; Head of an research department of the Radioavionica, JSC in St. Petersburg; specialized in the design of telecommunication systems, automated communication management systems and the development of methods and algorithms for managing complex systems; a patent holder and author of articles in the field of designing telecommunication and multiservice systems and communication networks. email: serg123_61@ mail.ruS.A. Ageev,
Nina Sergeevna Ageeva, graduated from the Faculty of Engineering and Physics of the St. Petersburg National Research University of Information Technologies, Mechanics, and Optics (“ITMO University”); Research Associate of the Marshal Budjonny Military Academy of Signal Corps; specialized in the field of building the automated qualityofservice management systems in multiservice communication networks; an author of articles and patents in the field of data compression methods and algorithms in multiservice communication networks. email: nine11ia@yandex.ruN.S. Ageeva,
Vladimir Vladimirovich Karetnikov, Doctor of Sciences in Engineering, Professor; graduated from the St. Petersburg State University of Water Communications; Head of the Department of Inland Waterway Navigation at the St. Petersburg Admiral Makarov State University of Maritime and Inland Shipping; specialized in the design and development of systems, communication networks and radio navigation systems; a patent holder and author of articles in this subject area. email: spguwckaretnicov@yandex.ruV.V. Karetnikov,
Andrei Andreevich Privalov, Doctor of Military Science, Professor; graduated from the Marshal Budjonny Military Academy of Signal Corps; Professor of the Department of Electrical Communication of the Emperor Alexander I St. Petersburg State Transport University; specialized in mathematical modeling and the development of methods, algorithms and control systems of infocommunication systems; patent holder and author of articles in the field of operational management of communication networks and large cyberphysical systems. email: aprivalov@ inbox.ruA.A. Privalov 

Adaptive method and algorithm for rapid estimation of traffic parameters in highspeed corporate multiservice communication networks
The article deals with an adaptive method developed and an algorithm that implements it for the rapid evaluation of traffic characteristics and parameters in highspeed corporate multiservice communication networks. This algorithm operates in realtime environment.
Highspeed corporate multiservice networks are characterized by high dynamics of changing their state, including changes in the characteristics of transmitted traffic. Under these conditions, the automated network management system should provide the required quality of communication services and services provided to users. Thus, the relevance of this study is determined by the need to implement network management processes in a mode close to real time, with a given quality in the conditions of dynamic priority of unknown changes in network characteristics.
The basis of the proposed method is the concept of conditional nonlinear Pareto  optimal filtering by V.S. Pugachev, which consists in the fact that traffic parameters are estimated in two stages. Firstly, the forecast of parameter values is estimated, and then their correction is made with the following observations of parameters. Traffic parameter forecasts are made in a small sliding window, and refinement of current traffic parameter estimates is implemented by pseudogradient procedures, the parameters of which are regulated by the method of fuzzy TakagiSugeno logical output. In this case, increments in pseudogradient procedures are calculated relative to the average value of previous estimates calculated in a small moving window as well. This method reduced the average relative error of estimating the intensity parameters of nonstationary network traffic by 1.41.9 times, and also reduced the size of the sliding window in which it is processed from 1.7 to 4.2 times.
The proposed method and algorithm belong to the class of methods and algorithms which require a preliminary training. The average relative error in estimating traffic parameters does not exceed 7%, which is a sufficient value for the implementation of operational network management tasks.
Pseudogradient algorithm, conditionally nonlinear Paretooptimal filtering, fuzzy logical TakagiSugeno conclusion, fuzzy rule base, fuzzy knowledge base.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Aleksandr Kupriianovich Ivanov, Doctor of Sciences in Engineering; graduated from the Faculty of Physics at Irkutsk State University, completed his postgraduate studies at Bauman Moscow Technical School, doctoral studies at Ulyanovsk State Technical University; Chief Staff Scientist of FRPC JSC ‘RPA ‘Mars’; an author of monographs, tutorial, articles in the field of the mathematical modeling of hierarchical realtime computer aided control systems. email: mars@mv.ruA.K. Ivanov
Aleksandr Leonidovich Savkin, Candidate of Military Sciences, Associate Professor; graduated from the Ulyanovsk Higher Military Command School of Communications and the Marshal Budjonny Military Academy of Signal Corps; completed his postgraduate studies in the Military Academy of Communications; Head of Science and Engineering Support Department of FRPC JSC ‘RPA ‘Mars’; an author of scientific works, manuals, and articles in the field of the development and modeling of communication control systems, automated information systems. email: mars@mv.ruA.L.Savkin
Ilya Vasilyevich Chernyshev, Candidate of Military Sciences; graduated from the Novosibirsk Electronic Technical Institute of Communications; completed his postgraduate studies at the Marshal Budjonny Military Academy of Signal Corps; Associate Professor of the Department in Organizing Airport Activity and Information Technologies of Ulyanovsk Civil Aviation Institute; an author of textbooks and articles in the field of computeraided control systems design, information technologies, and mathematical modeling. email: chernyshev@ulstu.ruI.V. Chernyshev 

The mathematical models of information decisions in operations controls
The article proves the relevance of developing decisionsupport systems that ensure an automation of intellectual activity of operation controls officers. It gives a brief review of scientific researches in terms of psychology of behavior, perception and thinking; and shows the viability of mathematical models for decisionmaking based on the analogue ones in other science and technology domains having a corresponding mathematical apparatus. The authors create the scheme of information decisions made by operation controls, which includes several stages of initial data conversion and gradient distribution of information resources in a onedimensional space of structural units. The complex of mathematical models for information decision making for three stages of conversion and for various modes of initial data entry has been developed. The first model describes the gradient distribution of initial data in the form of a partial differential equation, while converting stages are given as an ordinary differential one. The second model includes the gradient distribution of initial data and subsequently converted data in the space of operating controls. It is represented as a partial differential system. The third and fourth models additionally incorporate convective terms of partial differential equations. The article gives the analytical solutions of all models and the estimated structures of information resources allocation.
Decisionmaking, mathematical models, partial differential equations, ordinary differential equations.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Nikita Aleksandrovich Pchelin, Candidate of Sciences in Engineering; graduated from the Ulyanovsk Higher Military Command School of Communications; completed his postgraduate studies at Ulyanovsk State Technical University; Chief Designer at Federal Research and Production Center JointStock Company ‘Researchand Production Association ‘Mars’; an author of articles and RF patents in the field of errorcorrecting coding. email: pna3@yandex.ruN.A. Pchelin
Mohammed A. Y. Damdam, Postgraduate Student of the Department of Telecommunications of Ulyanovsk State Technical University majoring in Informatics and Computer Engineering; graduated from UlSTU; an author of publications in the field of errorcorrecting coding and information protection. email: dam_love@mail.ruM.A.Y. Damdam
Ali S.A. AlMesri, Postgraduate Student of the Department of Telecommunications of Ulyanovsk State Technical University majoring in Informatics and Computer Engineering; graduated from UlSTU; an author of publications in the field of errorcorrecting coding and information protection. email: ali_almassry@mail.ruA.S.A. AlMesri
Aleksandr Aleksandrovich Brynza, Master’s Student at the Department of Telecommunications of Ulyanovsk State Technical University majoring in Infocommunication Technologies and Communication Systems; an author of publications in the field of errorcorrecting coding and information protection. email: abrynza73@gmail.comA.A. Brynza 

The paradigm of neural network decoding of nonbinary redundant codes
The use of noisetolerant coding in modern communication systems remains the only means of increasing the efficient energy of such systems. This parameter tends to increase in conditions when the receiver of the communication system is able to correct errors of a large multiplicity. At the same time, the existing experience of using various methods for decoding the received data to achieve such a goal in the format of algebraic or iterative procedures does not give a noticeable effect and leads to a large time cost and an exponential increase in the complexity of implementing the decoder processor. The reason for this situation is the passive position of the receiver, which, when processing each code vector, remains a fixator of the picture that occurred in the communication channel and, in general, by compiling a system of linear equations and then solving it, tries to identify the error vector. Some exceptions are permutation decoding systems, which, by selecting and using reliable characters from the number received at the reception, simulate the operation of their transmitter and compare the received (almost errorfree) result of such encoding with the received combination [1, 2]. With the growing influence of destructive factors, such methods are ineffective.
A natural question arises: are modern solutions in neural network technologies capable of improving the characteristics of code vector recognition systems in order to obtain acceptable machine time costs in order to achieve an increase in the energy characteristics of communication systems.
Neural networks, redundant codes, cluster, pattern recognition.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Iaroslav Gennadevich Tetenkin, Candidate of Sciences in Engineering; graduated from the Radioengineering Faculty of Ulyanovsk State Technical University; Leading Engineer of the Ulyanovsk Branch of the Kotel’nikov Institute of Radioengineering and Electronics (IRE) of RAS; an author of scientific publications and inventions in the field of computeraided measurement and parameter analysis of semiconductor devices and integrated circuits and measuring their thermal characteristics. email: ufire@mv.ruI.G. Tetenkin
Viacheslav Andreevich Sergeev, Doctor of Sciences in Engineering, Professor; graduated from the Physics Faculty of Gorky State Technical University; Head of the Ulyanovsk Branch of the Kotel’nikov Institute of Radioengineering and Electronics (IRE) of RAS; Head of the Department of Radioengineering, Opto and Nanolectronics of Ulyanovsk State Technical University at the Ulyanovsk Branch of Kotel’nikov IRE of RAS; an author of monographs, inventions, and articles in the field of researching and simulating semiconductor devices and integrated circuits performance, and measuring their thermal characteristics. email: sva@ulstu.ruV.A. Sergeev 

The measurement of thermal parameters by changing frequency of embedded ring oscillator
The article describes a brief analysis of linear thermal models of digital integrated circuits (DIC) and algorithms for determining the parameters of thermal equivalent circuits of DICbased on transient thermal characteristics (TTC). It distinguishes the difficulties in implementing the algorithm for determining the thermal parameters of the DICbased on the method of structure functions according to the JESD5114 document and describes a new method for measuring the FPGA TTC by changing the frequency of a ring oscillator embedded in the FPGA logic elements. It also considers the hardwaresoftware complex used for measuring the thermal parameters of FPGAs and proposes a simple algorithm for calculating the thermal parameters of FPGAs based on the analysis of the FPGA TTC using methods of numerical differentiation. The specified algorithm for calculating thermal parameters has been tested on the example of FPGA TTC EPM240T100C5 and Lattice M4A564/32.
Digital integrated circuits, thermal circuit, thermal parameters, transient thermal characteristics, FPGA, measurement, calculating algorithm.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Inna Aleksandrovna Martynova, Candidate of Sciences in Physics and Mathematics; graduated from the Department of Problems of Physics and Energetics of the Moscow Institute of Physics and Technology, National Research University (MIPT); completed her postgraduate studies at MIPT; Senior Research Associate of the Sarov Institute of Physics and Technology at MIPT of National Research Nuclear University; an author of monographs, manuals, inventions, and articles in the field of system analysis of cryptographic information system elements. The present work was carried out at the Department of Radiophysics and Electronics of the Sarov Institute of Physics and Technology. email: dim010307@yandex.ruI.A. Martynova 

Methodological support for the dividing of factorial sets substitutions
The substitution and permutation functions are the main functions of information cryptographic systems that provide diffusion and mixing of information. It is required to analyze these cryptographic primitives while creating new algorithms for data transformation using such functions. A new scale of notation has been proposed for performing such analysis. This is the factorial sets statistical series notation scale. This scale of notation helps to index the factorial sets statistical series elements and establish a onetoone correspondence between the number and a specific type of substitution. The use of this system provides a way to find new characteristics and properties of substitutions. Since substitutions of the factorial sets form a cyclic group, the operation on elements of this group can be determined. In the general case, the operation used is a multiplication of substitutions, but this paper suggests another operation for group determination. The article presents a capability for dividing the factorial sets substitutions. Two methods for implementing the substitution division operations
are proposed such as a method of successive transition and a method of group transition, which are implemented through non commutative operation of multiplying on inverted substitutions.
Substitutions, factorial sets, multiplying, dividing.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Aleksei Konstantinovich Khalaidzhi, graduated from Bauman State Technical University with Master’s degree in Computer Science and Engineering; Postgraduate Student at the Department of Computer Systems and Networks of BMSTU; an author of articles in the field of humanoperator state monitoring by biosignals. email: aleksei_halaidzh@mail.ruA.K. Khalaidzhi 

Research of the cetlin method of automatic arrhythmia detection by ecg signals from mitbih
This article presents and solves the problem of evaluating the quality of the Cetlin method, which classifies the sequence of RRintervals by the recordings of ECG signals from MITBIH, which have labels on Rpeaks. To solve this problem, author proposes new quality metrics and describes developed algorithms for calculating them in real time with taking into account segmentation errors. Author analyzes the influence of the accuracy of the segmentation procedure for extracting the positions of Rpeaks from ECG signal on the proposed quality metrics. Paper compares the quality of the Cetlin method and other existing algorithms for arrhythmia detection that analyze the duration of RRintervals in accordance with a set of rules in real time. Article reveals advantages and limitations of the method. Paper shows that the method successfully detects SVEB and VEB arrhythmias. but has inertia, that leads to false positives, and is immune to morphological abnormalities that do not change the duration of RRintervals. Author analyzes the influence of parameters of the Cetlin method on its quality according to the proposed metrics. Paper describes the procedure for searching the best parameters configuration. In conclusion, author reveals that there is no the only configuration, that achieves the best quality for each signal from MITBIH.
The Cetlin method, arrhythmia, ECG, RRinterval, quality metric, segmentation, Rpeak, MITBIH, realtime mode.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Anatolii Afanasevich Gladkikh, Doctor of Sciences in Engineering; graduated from the Marshal Budjonny Military Academy of Signal Corps; completed his postgraduate studies at the same Academy, Professor of the Telecommunication Department at Ulyanovsk State Technical University; an author of monographs, textbooks, papers, and patents in the field of noiseimmune coding and information security. email: a.gladkikh@ulstu.ruA.A. Gladkikh,
Anastasiia Denisovna Bakurova, Master Student of the Telecommunication Department at Ulyanovsk State Technical University majoring in Infocommunication Technologies and Communication Systems; an author of publications in the field of noiseimmune coding and information security. email: bakurova.ad@mail.ruA.D. Bakurova,
Artem Vladimirovich Menovshchikov, Postgraduate Student of the Telecommunication Department at Ulyanovsk State Technical University; graduated from the Military Academy of Communications (Affiliated Branch of Novocherkassk) with a degree in the Communication Networks and Switching Systems; an author of publications in the field of noiseimmune coding and information security. email: menovshikov@ulstu.ruA.V. Menovshchikov,
Basem A.S. Said, Postgraduate Student of the Telecommunication Department at Ulyanovsk State Technical University; graduated from Ulyanovsk State Technical University with the Master’s Degree in Telecommunication Technologies and Communication Systems; an author of publications in the field of noiseimmune coding and information security. email: alsamery@mail.ruBasem A.S. Said,
Sergei Valentinovich Shakhtanov, graduated from the Leningrad Higher Military Engineering School of Communications; Senior Lecturer of the Department of Infocommunication Technologies and Communication Systems at the Nizhny Novgorod State University of Engineering and Economics; an author of publications in the field of noiseimmune coding and information security. email: r155p@bk.ruS.V. Shakhtanov


Fractal clustering of group codes in the system of galois field The permutation decoding (PD) of group systematic noiseimmune codes is proved to be the most efficient method in using the redundant data entered to the code as against other methods of decoding digital data [15]. This opens up the opportunity of solving a complex computational problem of finding an equivalent code (EC), which is used to search for the error vector. The essence of this solution is that the computational procedure of realtime search for EC for each new combination of redundant code is replaced by a preliminary process of training the decoder to put in accordance with each new permutation of characters the generating matrix of EC parameters, which are recorded in the decoder’s memory card during training. Thus, such a memory card is called a cognitive card (CC). The article estimates the memory size of the CC, when using the block code (15,7,5), and shows the possibility of implementing a permutation decoder on basis of existing integrated circuits based on proven statements. For the first time, the apparatus of fractal partitioning of augmented binary Galois fields using the clustering of the common space of code vectors of a given code is used to prove the main statements. An efficient algorithm is presented to search for a set of invertible matrices of rearranged codes that do not provide an EC and for this reason should be primarily detected in the decoding procedure of the received code vectors.
Permutation decoding, cognitive decoder map, fractal, cluster.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Viktor Rostislavovich Krasheninnikov, Doctor of Sciences in Engineering, Professor; graduated from Kazan State University; Head of Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; an author of articles in the field of statistical methods of signal and image processing. email: kvrulstu@mail.ruV.R. Krasheninnikov,
Iulia Evgenevna Kuvaiskova, Candidate of Sciences in Engineering, Associate Professor; graduated from Ulyanovsk State Technical University; Associate Professor of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; an author of articles in the field of statistical methods for processing the time series systems. email: u.kuvaiskova@mail.ruI.E. Kuvaiskova,
Olga Evgenevna Malenova, Postgraduate Student of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of statistical methods of signal and image processing. email: nikalilu@yandex.ruO.E. Malenova,
Aleksei Iurievich Subbotin, Postgraduate Student of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of statistical methods of signal and image processing. email: ashkael@mail.ruA.I. Subbotin


The hypothesis test of covariation functions of quasiperiodic processes systems represented by cylindrical image models The generally accepted mathematical model of a wide variety of natural, technical, economic and other objects that exist in time are random processes, for example sea waves, wind, vibrations of engines and hydraulic units, biorhythms, etc. An object is usually described by several parameters, that is a system of random processes or time series. The processes occurring in many objects have a form close to periodic – quasiperiodic, namely there is a periodicity with an element of unpredictability, for example speech sounds, vibrations of various technical objects, daily temperature fluctuations, etc. In order to formulate the problems of processing the quasiperiodic process systems, their mathematical models are required. For this purpose, authors propose models in which the processes are presented in the form of spiral sweeps on autoregressive cylindrical images. A suitable set of parameter values for these models provides a given degree of quasiperiodicity of individual processes and the given covariance relationships between the processes of the system. A criterion is proposed for testing the hypotheses about the correspondence of the observed system of time series to their model of the described type. The authors provide the examples of the application of this criterion with an analysis of the sensitivity to deviations of the model parameters from the expected ones are given.
Quasiperiodic process, covariance function, hypothesis tests, criterion, significance level, test power.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Aleksandr Nikolaevich Zolotov, Postgraduate Student at the Department of Heat Power Engineering of Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of numerical modeling of hydrogasdynamic processes. email: anzolotov@bk.ruA.N. Zolotov,
Vladislav Nikolaevich Kovalnogov, Doctor of Sciences in Engineering; graduated from Kazan State University named after V.I. UlyanovLenin; Head of the Department of Heat Power Engineering of UlSTU; an author of articles, monographs, and inventions in the field of modeling, research and optimization of the thermal and hydrogasdynamic processes in power installations and processing equipment. email: kvn@ulstu.ruV.N. Kovalnogov,
Ruslan Vladimirovich Fedorov, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Associate Professor of the Department of Heat Power Engineering of UlSTU; an author of articles, monographs and inventions in the field of modeling and studying of thermal and hydrogasdynamic processes in heat engineering. email: r.fedorov@ulstu.ruR.V. Fedorov


Software and information system for analyzing the thermal state of turbine machine blades Increased input parameters of the pressure and temperature of the working fluid in gas turbine installations result in the complex gasdynamic and temperature operation modes of the blade apparatus, but it is the principal tool for improving the energy efficiency of gas turbine installations in general. Applying the efficient methods of mathematical modeling and numerical study of gasdynamic processes of a turbine machine may simplify this process and reduce financial costs. The article considers the main methods of increasing the energy efficiency of modern gas turbine machines are considered. One of the implementation ways is the use of software systems for calculating the thermal state of turbine machine blades.
Numerical modeling, thermal protection, convective film cooling, software and information system, dispersed flow, gasdynamic temperature stratification.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Inna Aleksandrovna Martynova, Candidate of Sciences in Engineering; graduated from the Moscow Institute of Physics and Technology at National Research University with the Bachelor’s, Master’s and Academic degree in physics problems and energetics; Senior Research Associate of the Sarov Institute of Physics and Technology at National Research Nuclear University MEPhI; an author of monographies, manuals, inventions, and articles in the field of system analysis of cryptographic information system elements. The present work was carried out at the Department of Radiophysics and Electronics of the Sarov Institute of Physics and Technology. email: dim010307@yandex.ruI.A. Martynova


Substitution characteristics of factorial sets and criteria for choosing the single substitutions The substitution and permutation function, which are presented in the article as elements of a number of factorial sets, are the key functions of cryptographic systems that provide diffusion and mixing of information. A new scale of notation is proposed while analyzing this problem. This is the notation scale of a number of factorial sets. This scale of notation helps to index the elements of a number of factorial sets and establish a onetoone correspondence between the number and a specific type of substitution. This allows analyzing substitutions characteristics systematically. This paper presents the basic concepts of a number of the factorial sets. It is noted that the permutations of the factorial sets form symmetric permutation groups, and specific permutations (when raised to a power) form cyclic groups. The group axioms are fulfilled for the permutations of a number of factorial sets. Also, the definition domain, the group operation of multiplication, and identical and inverse substitutions are given for them. The number of independent cycles, decrement, inverse, parity and sign are common characteristics of the substitutions of a number of factorial sets. The criteria for choosing single substitutions with the best characteristics are proposed.
Substitution, a number of factorial sets, a number of insensitive cycles, decrement, inverse.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Iulia Valerevna Pokladova, Candidate of Sciences in Physics and Mathematics, Associate Professor; graduated from the Faculty of Economics and Mathematics of Ulyanovsk State Technical University; Associate Professor of the Department of Higher Mathematics at UlSTU; an author of articles and monographs in the field of aerohydroelasticity, mathematical modeling. email: pokladovau@inbox.ruI.V. Pokladova
Petr Aleksandrovich Velmisov, Doctor of Sciences Physics and Mathematics, Professor; graduatedfromthe Faculty of Mechanics and Mathematics of Saratov State University; Head of the Department of Higher Mathematics at Ulyanovsk State Technical University; an author of articles and monographs in the field of aerohydromechanics, aerohydroelasticity, mathematical modeling. email: velmisov@ulstu.ruP.A. Velmisov


The study of the stability of aeroelastic systems by linear approximation This paper proposes an approximate method of studying the stability of solutions of nonlinear differential equations with partial derivatives, describing the dynamics of one class of aeroelastic systems. Based on the Galerkin (KrylovKantorovich) method, when presenting the desired deformations in the form (formula), the study of problems for differential equations with partial derivatives for w(x,t) reduces to the study of problems for nonlinear systems of ordinary differential equations for functions (formula) . It is shown that the structure of these systems allows using the known stability theorems by linear approximation. Thus, the study of the dynamic stability of aeroelastic systems is reduced to the study of uniform problems combined by a common approach to solving them. As examples, vibration stability conditions of a pipeline with liquid flowing inside it and a plate streamlined by a supersonic gas flow are obtained.
Pipeline, plate, deformation, dynamics, aerohydroelasticity, stability, nonlinear model, partial differential equations.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Nikolai Viktorovich Dorofeev, Doctor of Sciences in Engineering; graduated from the Faculty of Radioengineering and Computer Systems at Vladimir State University; Head of the Department of Management and Control in Technical Systems of VlSU; an author of articles, monographs, inventions in the field of information processing of data and forecasting of nearsurface geodynamics. email: DorofeevNV@yandex.ruN.V. Dorofeev
Anastasia Vladimirovna Grecheneva, Candidate of Sciences in Engineering; graduated from the Faculty of Radioengineering and Computer Systems at Vladimir State University; Associate Professor of the Department of Management and Control in Technical Systems of VlSU; an author of articles and a monograph in the field of instruments and methods for monitoring the mechanical and kinematic parameters of complex objects. email: GrechenevaAV@yandex.ruA.V. Grecheneva
Ekaterina Sergeevna Pankina, graduated from the Department of Instrument Engineering, Metrology and Certification of Oryol State Technical University; Research Fellow at the Department of Management and Control in Technical Systems of VlSU; an author of articles in the field of modeling and analysis of relationships in natural and technical systems. email: pankina@bsu.edu.ruE.S. Pankina
Roman Viacheslavovich Romanov, Candidate of Sciences in Engineering; graduated from the Faculty of Radioengineering and Computer Systems at Vladimir State University; Associate Professor at the Department of Management and Control in Technical Systems, of VlSU; an author of articles and a monograph in the field of distributed data processing and monitoring of groundwater in decentralized water supply. email: romanov. roman.5@yandex.ruR.V. Romanov


Simulation and bifurcation analysis of geotechnical system stability under vibration The automation of control processes for the stability of geotechnical systems is a great challenge involving the development of methods for multivariate analyzing and forecasting the stability with the subject to the nonlinearity of material stiffness parameters. The aim of the study is to improve the efficiency of automated control systems for geotechnical stability by developing an approach to detect negative changes in bifurcation diagrams of vibration displacement parameters of object structures. The authors present a mathematical model of the dynamic behavior of structural elements of an object as an elementary unit of a geotechnical system that describes a response to an external vibration action. An algorithm of bifurcation analysis is presented, which allows authors to determine the initial transition stage of the object structure to an unstable state by the acceleration values of forced oscillations exceeding the model parameters. A bifurcation diagram of stability changes in the structure of object at the displacement resulting from the load increase under vibration action has been constructed. This diagram, which type of codimensionone bifurcations is merging, enabled to determine the critical load values resulting in an unstable state transition of a system due to the influence of a combination of vibration factors. The efficiency evaluation of the proposed approach was carried out by the comparison with the results of construction stability calculations obtained by the use of the dynamic coefficient. The difference between the values of the maximum object displacement without loss of the stability under vibration action, obtained by the standard calculation method and using the developed model, is 32.5%, and it is significant in the theory of structure stability. When exogenous vibration noise is used as a source of a sounding signal, the application of the developed approach in automated control systems for geotechnical stability enable to change the permissible stability thresholds of objects being exploited depending on the level and combination of influencing factors.
Geotechnical system, automated monitoring, stability, nonlinear dynamics model, vibration action, bifurcation diagram.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Anastasiia Valerevna Alekseeva, Postgraduate Student of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; graduated from the Faculty of Information Systems and Technologies at UlSTU; a standardization engineer at the Ulyanovsk Instrument Manufacturing Design Bureau, JSC; an author of scientific publications in the field of the statistical methods in quality management. email: age 89@mail.ruA.V. Alekseeva


Improving the efficiency of statistical control of hydrounit vibrations
Some techniques of statistical process control can be applied in investigating an object for likely defects. In this regard, the multidimensional scattering is monitored with the use of a generalized variance algorithm. At fixed time intervals samples of observations are recorded, according to which the values of the determinant of covariance matrix (the generalized variance) are calculated. The corresponding point, falling outside the borders of control chart, indicates the process failure. The test results based on vibration data obtained from the hydraulic unit at the Krasnopolianskaia Hydroelectric Power Station showed that the algorithm of the generalized variance has an insufficient quick response relating to both gradual and spasmodic changes in the scattering level. To make the monitoring process more efficient, the following techniques have been suggested. The first one detects defects by analyzing special kind structures on the generalized variance chart. The second technique applies the warning borders on the chart and the third one implies an algorithm of exponentially weighted moving averages for generalized variance. All the tests revealed that the search for nonrandom structures on the generalized variance chart is most effective for the early detection of changes in the scattering process
Generalized variance, average run length, hydraulic unit vibrations, warning borders, exponentially weighted moving averages.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Olga Mikhailovna Gorbacheva, graduated from Orenburg State University with the Master’s degree in the Management and Information Technologies in Engineering Systems; Postgraduate Student of the Department of Production Automation Systems at OSU; an author of articles in the field of automation and control of production and manufacturing processes. email: Ol.gorba4ewa2017@yandex.ruO.M. Gorbacheva
Aleksandr Sergeevich Borovskii, Doctor of Sciences in Engineering, Associate Professor; graduated from Tula Higher Artillery Engineering College with the specialty in Automated Control Systems; ViceRector for Scientific Affairs of OSU; an author of numerous scientific publications in the field of analysis and synthesis of information and engineering systems. email: borovski@mail.ruA.S. Borovskii


Analysis of the mathematical model of the waste oil purification in a diesel locomotive engine
The article analyses a mathematical model of the waste oil purification in the oil system of a diesel locomotive engine. Waste oil purification takes place directly in the engine during its operation, which enables to reduce considerably the time taken to purify, and to decrease the concentration of impurities in the oil. In the proposed system for automatic control of waste oil purification, the main monitored parameters are pressure and temperature of the oil being purified. During analyzing the analytical solution of the system, the authors studied an increase in the concentration of impurity particles, the behavior of particle velocities in the centrifuge, and determined assumptions, within the framework of which the velocity of impurity particles was simulated. The influence of the impurity particle shape in the oil was taken into account in making these assumptions.
Centrifuge, parallel velocity component, perpendicular velocity component, monitored parameters, automatic system.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Vladimir Aleksandrovich Baboshin, Candidate of Sciences in Engineering, Associate Professor; graduated from the Ulyanovsk Higher Military Command School of Communications; Associate Professor of the Department of Reconstruction of Automatic, Telemechanic, and Communication Devices on Railways at the Military Institute of Railway Troops and Military Communications of the Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; an author of articles, inventions in the field of analysis (synthesis) of information systems and mathematical modeling, reconstruction of railway automatic and telemechanic devices. email: boboberst@ mail.ruV.A. Baboshin
Andrei Klimentevich Chernykh, Doctor of Sciences in Engineering, Associate Professor; graduated from Leningrad State University n.a. A.A. Zhdanov; Professor of the Department of Informatics and Mathematics at the St. Petersburg Military Institute of the National Guard Troops of the Russian Federation; an author of articles, inventions in the field of analysis (synthesis) of information systems and mathematical modeling, organization system control. email: nataliachernykh@mail.ruA.K. Chernykh
Mikhail Gennadievich Iashin, Candidate of Sciences in Engineering, Associate Professor; graduated from the St. Petersburg Military Institute of Railway Troops and Military Communications; Associate Professor of the Department of Reconstruction of Automation, Telemechanic and Communication Devices on Railways at the Military Institute of Railway Troops and Military Communications of the Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; an author of articles, inventions in the field of analysis (synthesis) of information systems and mathematical modeling, reconstruction of railway automation and telemechanic devices. email: mikl771@rambler.ruM.G. Iashin
Konstantin Nikolaevich Savinov, Candidate of Military Sciences, Associate Professor; graduated from the Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; Head of the Department of Reconstruction of Automation, Telemechanic and Communication Devices on Railways at the Military Institute of Railway Troops and Military Communications of the Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; an author of articles, monographs, scientific research papers in the field of the technical and engineering coverage of railways, the reconstruction of railway automation and telemechanic devices. email: savinoff@mail.ruK.N. Savinov


Optimization elements in the plan of technical covering of objects in communication lines A method is proposed for solving the problem of distributing a limited integer resource of forces and means of transport support for technical cover facilities. The prospects of developing special mathematical software with the aim of improving the quality of management based on the automation of the processes of meaningful processing of information and decision support are justified. The novelty of the method is determined by the statement of the indicated problem in the form of an integer programming model. The method is characterized by the stability of the computational scheme to change the dimension of the problem, a small number of iterations and its rapid convergence to the optimal solution, which determines its effectiveness.
Transport support, distribution, technical cover, algorithm for solving the distribution problem, mathematical methods, software.



Sections: Automated control systems
Subjects: Automated control systems, Mathematical modeling. 
Elena Ivanovna Stepnova, graduated from the Faculty of Information System and Technologies of Ulyanovsk State Technical University; Postgraduate Student of the Department of Measuring and Computing Systems of UlSTU; an engineer of AeropriborVoskhod, JSC; an author of articles in the field of instrumentation. email: seistep1992@yandex.ruE.I. Stepnova
Sergei Konstantinovich Kiselev, Doctor of Sciences in Engineering; graduated from Ulyanovsk Polytechnic Institute with a degree in Aircraft and Instrument Engineering; Head of the Department of Measuring and Computing Systems of UlSTU; an author of monographs, articles, inventions in the field of instrumentation. email: ksk@ ulstu.ruS.K. Kiselev


Adaptation of displayed flight and navigation data in the aircraft electronic display system The problem of flight safety continues to be of great importance in civil aviation, despite today aviation is the safest mode of transport. Particular attention is paid to the human factor, since it has a significant impact on safety. The article analyzes the impact of eye strain caused by displayed flight navigation data on a pilot during landing and discusses how to reduce it. It considers how the pilot interacts with aircraft equipment. The flight data, increasing eye strain, but having no affects on successful landing of the aircraft is specified. The article substantiates the necessity of adaptive display of flight data on the screen during landing. The proposed adaptive method for displaying flight navigation data is supposed to reduce the pilot’s eye strain, which contributes to improved quality of piloting and ensures flight safety.
Flight and navigation display, electronic display system, aircraft, display adaptation, pilot’s eye strain.



Sections: Automated control systems
Subjects: Automated control systems, Mathematical modeling. 
Oleg Valentinovich Zhiliaev, Postgraduate Student at the Department of Heat and Fuel Energetics of Ulyanovsk State Technical University; graduated from the Faculty of Special Machine Building of Bauman Moscow State Technical University; Lecturer at Kazan National Research Technological University; an author of articles and inventions in the field of liquid’s measuring. email: oleg_zhilyaev@rambler.ruO.V. Zhiliaev
Vladislav Nickolaevich Kovalnogov, Doctor of Sciences in Engineering, Professor, Head of Department of Heat and Fuel Energetics of Ulyanovsk State Technical University; graduated from UlyanovLenin Kazan State University; an author of articles, monographs, inventions in the field of mathematical modeling, research and optimization of heat, gas and hydrodynamic processes in applications to the problems of creation of energy equipment, heat equipment, transport energetic and energy machines. email: kvn@ulstu.ruV.N. Kovalnogov


The analysis of a new physical method for measuring the fluid mass flow rate and density
This paper gives the preliminary analysis of a new physical method of measuring the fluid’s mass flow rate and density which has been discovered by other authors. The need for exploration and development of the method is defined by its advantages in comparison with other currently existing systems for mass flow rate measuring such as Coriolis flowmeter. The new physical method under consideration is based on measuring the alternating pressure difference which would occur along the flow due to harmonic oscillations of the crosssection area of the pipeline which has flexible walls. It is shown that the new physical method gives the opportunity of simultaneous measurement of mass flow rate and liquid’s density. A mathematical model of the process of nonstationary flow of a liquid is built. The problem of nonstationary flow of a liquid is considered and solved as to be onedimensioned one. The detailed and thorough derivation of the formulae of the mathematical model is performed. Some inaccuracies in formulae permitted by authors of the method are indicated at. The limitations in applicability of the method which had been indicated at by its authors are also essentially weaken. The theoretical examination and approval of conclusions about the applicability of the new method are made.
Liquid, density, mass flow rate, pipeline, oscillations, measuring.



Sections: Automated control systems
Subjects: Automated control systems, Mathematical modeling. 
Vladimir Aleksandrovich Baboshin, Candidate of Sciences in Engineering, Associate Professor; graduated from the Ulyanovsk Higher Military Command School of Communications; Associate Professor of the Department of Reconstruction of Automatic, Telemechanic, and Communication Devices on Railways at the Military Institute of Railway Troops and Military Communications of Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; an author of articles, inventions in the field of analysis (synthesis) of information systems and mathematical modeling, reconstruction of railway automatic and telemechanic devices. email: boboberst@mail.ruV. A. Baboshin
Branislav Gavrilovich, Doctor of Sciences in Engineering; graduated from the Electrical Engineering Department of Veljko Vlahovic University in Titograd; Professor of the Department of the Higher Railway School in Belgrade, Serbia; an author of articles, inventions, scientific and methodological works in the field of power generation, operation of railway transport, railway automation and telemechanic devices. email: gavrilovicbranislav5@gmail.comB. Gavrilovich
Anton Anatolevich Iakovlev, Candidate of Sciences in Economics; graduated from Leningrad Higher Military Combined Armies Command Institute; Lecturer of SaintPetersburg University of Management Technologies and Economics; an author of articles, scientific and methodological works in the field of industrial economic management. email: yakovlev16@yandex.ruA. A. Iakovlev


To the study of analysis on how harmonic radio interference affects the power supply systems of railway transport
The railway transport is a complex organizational and technological system. Transit by rail freightage is contingent on many factors, including the traffic and carrying capacity of stations and track infrastructure. The efficient management of an operating station, as well as arrangement of safe rail traffic control affected by adverse factors is of crucial importance [1]. One of such significant factors is the radio interference influencing electrical and electronic equipment, and equipment ensuring the automation of railway, remote control and telecommunications [2]. The article discusses some issues of electromagnetic compatibility of the equipment, analyses how voltage variation in the overhead system affects the generation of harmonic radio interference for the equipment of power supply network, railway automation, telemechanics and telecommunications, when traction motors are running. This issue is essential to ensure the compliance with Eurostandards and concepts, regarding the compatible functionality of equipment, which influences the railway economics. The article emphasizes the compensating filters, which are put to practice use at traction substations of Serbian Railways as primary protection means [3].
Railway transport, complex organizational and technological system, overhead system, distribution network, radio interference, harmonics, railway automation and telemechanics, telecommunications, economical efficiency, reliability.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Vladislav Nikolaevich Kovalnogov, Doctor of Sciences in Engineering; graduated from Kazan State University; Head of the Department of HeatandPower Engineering of Ulyanovsk State Technical University (UlSTU); an author of articles, monographs, and inventions in the field of simulation, research, and optimization of thermal and gasdynamic processes in power installations and processing equipment. email: kvn@ulstu.ruV. N. Kovalnogov
Ruslan Vladimirovich Fedorov, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Associate Professor at the Department of HeatandPower Engineering of UlSTU; an author of articles and inventions in the field of numerical modeling the hydrogasdynamic processes. email: r.fedorov@ulstu.ruR. V. Fedorov
Andrei Valentinovich Chukalin, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Junior Scientist of the Scientific Research Office of the Department for Research Activities and Innovations at UlSTU; an author of articles and inventions in the field of numerical modeling the hydrogas dynamic processes. email: chukalin.andrej@mail.ruA. V. Chukalin
Larisa Valerevna Khakhaleva, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Associate Professor at the Department of HeatandPower Engineering of UlSTU; an author of articles and inventions in the field of numerical modeling the hydrogasdynamic processes. email: larvall@mail.ruL. V. Khakhaleva


Mathematical modeling of exchange processes in the turbulent boundary layer. Model analysis and verification The fundamental tool for studying complexgasdynamic processes occurring under nonstationary conditions is mathematical modeling, which allows reliable studies to carry out comprehensive research and development of technical solutions. A promising area of research is the search and development of methods for controlling the boundary layer of gas flows, which can intensify or reduce exchange processes in the boundary layer of power plants used in various industries of our country, such as: energy, aircraft manufacturing, shipbuilding. A modern and effective control method is a method based on the use of a damping surface. The impact of the damping surface is expressed in a decrease in the intensity of generation of turbulent vortices, which in turn leads to an increase in the velocity in the boundary layer and a decrease in the friction and heat transfer resistance. Research and development of technology will allow developing technical solutions for efficient and resourcesaving energy. The paper considers a method for modeling a turbulent boundary layer, which allows one to take into account the effect of the damping surface on the metabolic processes occurring in the boundary layer of the gas stream. The paper also presents the results of a comprehensive hotwires anemometric study of the boundary layer of a gas stream on a damping surface. The experiment was carried out using certified equipment in a wind tunnel and aimed at developing the theory and verifying the software package, in which the simulation method is implemented.
Mathematical modeling, numerical research, boundary layer, turbulence, laminarization, damping surface, heat and mass transfer.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Iuliia Aleksandrovna Radionova, Candidate of Sciences in Engineering; graduated from the Faculty of Mathematics and Mechanics of Ulyanovsk State University; finished her postgraduate study at Ulyanovsk State Technical University; Lead Programming Engineer at FRPC JSC ‘RPA ‘Mars’; an author of articles in the field of automated workflow systems, intelligent technical documentation storage bases and systems for statistical analysis of supplier appraisal; research interests are in the field of electronic document management, archival depositories, statistical data analysis, decision support systems. email: juliaowl@mail.ruI. A. Radionova
Aleksandr Leonidovich Savkin, Candidate of Military Science, Associate Professor; graduated from the Ulyanovsk Higher Military Command School of Communications and the Marshal Budjonny Military Academy of Signal Corps; completed his postgraduate studies at the Military Academy of Communications; Head of Science and Engineering Support Department of FRPC JSC ‘RPA ‘Mars’; an author of scientific works, manuals, and articles in the field of the development and modeling of computeraided control systems of communications and statistical analysis of supplier appraisal. email: mars@mv.ruA. L. Savkin


Forecast modeling of peak work loads based on time series analysis The article deals with the analysis of work load in a technical documentation department of researchandproduction association. Data for the analysis are formalized as unstructured time series (time series). Basic definitions of time series, methods for detecting anomalous data, trend criteria, trend equation types are studied. Methodology for data structuring of initial time series intended for the following analysis is developed. Modification of the criterion for anomalous point detection is proposed. All the considered algorithms are implemented; database structure is developed. Information on the department work performed during the period 2008 to 2018 was captured to carry out computing experiments. Data are structured according to the proposed methodology. Anomalous data are detected by standard and modified criteria; trend availability is identified. Conclusions are made on criteria and equations that are optimal for initial data set. Data for year 2018 are modelled based on various equations; results are compared with actual data. Conclusions were drawn up regarding the ability to be used the methods examined for the selected data set.
Time series, trend, anomalous data, work load.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
