http://ric.zntu.edu.ua/issue/feedRadio Electronics, Computer Science, Control2022-10-20T11:24:57+03:00Sergey A. Subbotinsubbotin.csit@gmail.comOpen Journal Systems<p dir="ltr" align="justify"><strong>Description:</strong> The scientific journal «Radio Electronics, Computer Science, Control» is an international academic peer-reviewed publication. It publishes scientific articles (works that extensively cover a specific topic, idea, question and contain elements of their analysis) and reviews (works containing analysis and reasoned assessment of the author's original or published book) that receive an objective review of leading specialists that evaluate substantially without regard to race, sex, religion, ethnic origin, nationality, or political philosophy of the author(s).<span id="result_box2"><br /></span><strong>Founder and </strong><strong>Publisher</strong><strong>:</strong> <a href="http://zntu.edu.ua/zaporozhye-national-technical-university" aria-invalid="true">National University "Zaporizhzhia Polytechnic"</a>. <strong>Country:</strong> Ukraine.<span id="result_box1"><br /></span><strong>ISSN</strong> 1607-3274 (print), ISSN 2313-688X (on-line).<span id="result_box3"><br /></span><strong>Certificate of State Registration:</strong> КВ №24220-14060ПР dated 19.11.2019. The journal is registered by the Ministry of Justice of Ukraine.<br /><span id="result_box4">By the Order of the Ministry of Education and Science of Ukraine from 17.03.2020 № 409 “On approval of the decision of the Certifying Collegium of the Ministry on the activities of the specialized scientific councils dated 06<br />March 2020”<strong> journal is included to the list of scientific specialized periodicals of Ukraine in category “А” (highest level), where the results of dissertations for Doctor of Science and Doctor of Philosophy may be published</strong>. <span id="result_box26">By the Order of the Ministry of Education and Science of Ukraine from 12.21.2015 № 1328 "On approval of the decision of the Certifying Collegium of the Ministry on the activities of the specialized scientific councils dated 15 December 2015" journal is included in the <strong>List of scientific specialized periodicals of Ukraine</strong>, where the results of dissertations for Doctor of Science and Doctor of Philosophy in Mathematics and Technical Sciences may be published.</span><br />The <strong>journal is included to the Polish List of scientific journals</strong> and peer-reviewed materials from international conferences with assigned number of points (Annex to the announcement of the Minister of Science and Higher Education of Poland from July 31, 2019: Lp. 16981). </span><span id="result_box27"><br /></span><strong> Year of Foundation:</strong> 1999. <strong>Frequency :</strong> 4 times per year (before 2015 - 2 times per year).<span id="result_box6"><br /></span><strong> Volume</strong><strong>:</strong> up to 20 conventional printed sheets. <strong>Format:</strong> 60x84/8. <span id="result_box7"><br /></span><strong> Languages:</strong> English, Ukrainian. Before 2022 also Russian<span id="result_box8"><br /></span><strong> Fields of Science :</strong> Physics and Mathematics, Technical Sciences.<span id="result_box9"><br /></span><strong> Aim: </strong>serve to the academic community principally at publishing topical articles resulting from original research whether theoretical or applied in various aspects of academic endeavor.<strong><br /></strong><strong> Focus:</strong> fresh formulations of problems and new methods of investigation, help for professionals, graduates, engineers, academics and researchers disseminate information on state-of-the-art techniques according to the journal scope.<br /><strong>Scope:</strong> telecommunications and radio electronics, software engineering (including algorithm and programming theory), computer science (mathematical modeling and computer simulation, optimization and operations research, control in technical systems, machine-machine and man-machine interfacing, artificial intelligence, including data mining, pattern recognition, artificial neural and neuro-fuzzy networks, fuzzy logic, swarm intelligence and multiagent systems, hybrid systems), computer engineering (computer hardware, computer networks), information systems and technologies (data structures and bases, knowledge-based and expert systems, data and signal processing methods).<strong><br /></strong> <strong> Journal sections:</strong><span id="result_box10"><br /></span>- radio electronics and telecommunications;<span id="result_box12"><br /></span>- mathematical and computer modelling;<span id="result_box13"><br /></span>- neuroinformatics and intelligent systems;<span id="result_box14"><br /></span>- progressive information technologies;<span id="result_box15"><br /></span>- control in technical systems. <span id="result_box17"><br /></span><strong>Abstracting and Indexing:</strong> <strong>The journal is indexed in <a href="https://mjl.clarivate.com/search-results" target="_blank" rel="noopener">Web of Science</a></strong> (WoS) scientometric database. The articles, published in the journal, are abstracted in leading international and national <strong>abstractig journals</strong> and <strong>scientometric databases</strong>, and also are placed to the <strong>digital archives</strong> and <strong>libraries</strong> with free on-line access. <span id="result_box21"><br /></span><strong>Editorial board: </strong><em>Editor in chief</em> - S. A. Subbotin, D. Sc., Professor; <em>Deputy Editor in Chief</em> - D. M. Piza, D. Sc., Professor. The <em>members</em> of Editorial Board are listed <a href="http://ric.zntu.edu.ua/about/editorialTeam" aria-invalid="true">here</a>.<span id="result_box19"><br /></span><strong>Publishing and processing fee:</strong> Articles are published and peer-reviewed <strong>free of charge</strong>.<span id="result_box20"><br /></span><strong> Authors Copyright: </strong>The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions. The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles. The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС BY -SA.<span id="result_box21"><br /></span><strong> Authors Responsibility:</strong> Submitting the article to the journal, authors hereby assume full responsibility for the copyright compliance of other individuals and organizations, the accuracy of citations, data and illustrations, nondisclosure of state and industrial secrets, express their consent to transfer for free to the publisher the right to publish, to translate into foreign languages, to store and to distribute the article materials in any form. Authors who have scientific degrees, submitting the article in the journal, thereby giving their consent to free act as reviewers of other authors articles at the request of the journal editor within the established deadlines. The articles submitted to the journal must be original, new and interesting to the reader audience of the journal, have reasonable motivation and aim, be previously unpublished and not be considered for publication in other journals. Articles should not contain trivial and obvious results, make unwarranted conclusions and repeat conclusions of already published studies.<span id="result_box22"><br /></span><strong> Readership: </strong>scientists, university faculties, postgraduate and graduate students, practical specialists.<span id="result_box23"><br /></span><strong> Publicity and Accessing Method :</strong> <strong>Open Access</strong> on-line for full-text publications<span id="result_box24">.</span></p> <p dir="ltr" align="justify"><strong><span style="font-size: small;"> <img src="http://journals.uran.ua/public/site/images/grechko/1OA1.png" alt="" /> <img src="http://i.creativecommons.org/l/by-sa/4.0/88x31.png" alt="" /></span></strong></p>http://ric.zntu.edu.ua/article/view/265752SYNTHESIS OF THE FINITE STATE MACHINE WITH DATAPATH OF TRANSITIONS ACCORDING TO THE OPERATIONAL TABLE OF TRANSITIONS2022-10-17T12:08:32+03:00A. A. Barkalovrvv@zntu.edu.uaL. A. Titarenkorvv@zntu.edu.uaR. M. Babakovrvv@zntu.edu.ua<p>Context. The problem of formalizing the description of a microprogram finite state machine based on the principle of operational transformation of state codes with the help of a modified transition table is considered. The object of research was a model of a microprogram finite state machine with datapath of transitions.</p> <p>Objective. The goal of the work is development and research of a method for formally specifying a microprogram finite state machine with datapath of transitions in the form of a modified table of transitions containing sufficient information for synthesizing the logic circuit of the finite state machine in the basis of programmable logic devices.</p> <p>Method. A new way of representing the formal solution of the problem of algebraic synthesis of a microprogram finite state machine with datapath of transitions in the form of an operational table of transitions is proposed. This table is a modification of the direct structural table traditionally used in the synthesis of microprogram finite state machines. The use of the previously known representation of the formal solution of the problem of algebraic synthesis in the form of a system of isomorphisms of automaton algebras is too formalized and makes it difficult to synthesize the logical circuit of the finite state machine due to the separate description of the transition and output functions. It is shown that the structure of a microprogram finite state machine with datapath of transitions requires information about the set of interpretations of state codes and the transition operations used to be entered into the traditional table of transitions. It is noted that the proposed operational table of transitions contains sufficient information for the synthesis of the logical circuit of the finite state machine. An example of constructing an operational table of transitions for a finite state machine given by a graph-scheme of the implemented control algorithm is shown. The example demonstrates various ways to interpret state codes. The procedure for synthesizing the circuit for generating codes of transition operations and the circuit for generating microoperations according to the operational table of transitions is proposed.</p> <p>Results. An example of the implementation of the main stages of the synthesis of a finite state machine with datapath of transitions according to the operational table of transitions is considered. Examples of synthesized finite state machine models in the VHDL language are given, which take into account the peculiarities of the representation of finite state machine models in Xilinx Vivado CAD. The results of the synthesis of the finite state machine according to VHDL models in FPGA basis are shown.</p> <p>Conclusions. The experiments carried out confirmed the sufficiency of the operational table of transitions for describing a microprogram finite state machine with operational transformation of state codes for the purpose of further synthesizing its logic circuit. Prospects for further research are the use of the proposed operational table of transitions in the development of various methods for the synthesis and optimization of microprogram finite state machine with operational transformation of state codes.</p>2022-10-17T00:00:00+03:00Copyright (c) 2022 О. О. Баркалов, Л. О. Тітаренко, Р. М. Бабаковhttp://ric.zntu.edu.ua/article/view/265760METHODOLOGY OF INCREASING THE RELIABILITY OF VIDEO INFORMATION IN INFOCOMMUNICATION NETWORKS AEROSEGMENT2022-10-17T13:02:15+03:00D. V. Karlovrvv@zntu.edu.uaI. M. Tupitsyarvv@zntu.edu.uaM. V. Parkhomenkorvv@zntu.edu.ua<p>Context. The problem of localization of the effect of errors in data transmission channels when using compression and noiseimmune coding methods in the conditions of compliance with the speed of data delivery in infocommunication systems of the aerosegment. The object of the study is coding methods for increasing the reliability of video information resources in infocommunication networks using airmobile platforms.</p> <p>Objective. The goal of the work is to methodology development of increasing the reliability of video information in the infocommunication networks of the aerosegment.</p> <p>Method. The use of noise-immune coding methods to ensure the required level of reliability of video information transmitted in infocommunication systems of the aerosegment has a number of significant disadvantages: it leads to a significant increase in the bit volume of compactly presented video data; the time delay for the delivery of video information is growing, which is critical in the conditions of using airmobile platforms. An increase in time delays in the process of delivering video information leads to the fact that the video information will not be transmitted in full and, as a consequence, in the conditions of aeromonitoring, to the loss of data reliability; time for processing video data increases. The advantage of using compression coding technologies to solve the problem of increasing the reliability of video information transmitted in infocommunication systems of the aerosegment is to reduce the bit volume of the video information resource. However, the existing video processing technologies are based on the use of statistical coding methods and the identification of a series of identical sequences of repeating elements. But the use of such technologies does not provide the required level of error localization. Restructuring method was developed based on identifying patterns in the internal binary structure of message elements by a quantitative attribute. The sign of the number of series of units in the binary structure of message elements is used as a tool for restructuring. Distinctive features of the method are that the restructuring of the information space is carried out without loss of integrity on the basis of structural features by the number of binary series.</p> <p>Results. The analysis of existing directions for solving the problem of increasing the level of reliability of video information transmitted in the infocommunication systems of the aerosegment was carried out. A method of internal data restructuring has been developed, which allows obtaining the following results: conditions are provided for additional reduction of structural redundancy of code representation of information due to significant reduction of information space capacity as a result of using internal data restructuring on the basis of the number of series of units; conditions are created for localization of errors in the process of reconstruction of video information resources; conditions are created to reduce the time for data processing, due to the fact that the developed method of data restructuring does not require transformations over the elements of the message.</p> <p>Conclusions. It is necessary to improve the existing compression coding technologies in the direction of identifying patterns, taking into account which will allow localizing the destructive effect of errors arising in the communication channel.</p>2022-10-17T00:00:00+03:00Copyright (c) 2022 D. V. Karlov, I. M. Tupitsya, M. V. Parkhomenkohttp://ric.zntu.edu.ua/article/view/265792MODULE HIGH-EFFICIENCY MULTIPROCESSOR SYSTEM WITH MULTIDIMENSIONAL AGGREGATING OF CHANNELS OF NETWORK INTERFACE 2022-10-17T20:13:34+03:00D. M. Morozrvv@zntu.edu.ua<p>Context. In modern terms problem of constructing of the multiprocessor systems the special value acquires the base of standard popular technologies and components. It is caused by that such systems became popular and cheap vehicle platforms for highperformance calculations. In addition, practice pulls out problems complete decision of which in most cases possibly only due to application of high-performance calculations. Consequently, a theme of constructing of the cluster multiprocessor systems for today is actual, interesting and is on the stage of the active development. At the same time, the new high-quality stage of development of the multiprocessor cluster systems lies in area of the use of new modern network technologies. Presently the problem of choice and analysis of network technologies for the module multiprocessor cluster systems did not get due development, as well as problem of reorganization of structure ofnetwork interfaceby aggregating of channels of network interface.</p> <p>Objective. An aim is in-process put improvement of structure and increase of the productivity of the multiprocessor computer system by the multidimensional aggregating of channels of network interface, adapted to the decision of tasks of the investigated class.</p> <p>Method. The task of increase of efficiency of the module multiprocessor computer system is decided due to multidimensional aggregating of channels of network interface. Offered approach allowed not only to promote efficiency of parallelization but also substantially to decrease time of calculations. Such results succeeded to be attained due to diminishing to time of border exchange of data between the calculable knots of the cluster system.</p> <p>Results. A feature offered approach is that he allowed to realize a direct exchange data between main memory of knots of the multiprocessor system, that promotes the fast-acting of calculations and provides high-speed access to memory of her slave -nodes. Thus during an exchange by data between the knots of the system the system CPU gets unloaded and loading of channel which passes between the knots of the computer system goes down, that assists diminishing of time of border exchange of data between the calculable knots of the system.</p> <p>Conclusions. The results of the conducted experiments showed that the worked out multiprocessor system was used for creation of new technological processes. So, she is used in a fluidizer intensification of the сфероидизируещего annealing of long-length steelwork. Directly the technological process of heat treatment of metal acquires such advantages, as a high yield, substantial mionectic energy consumption and allows to carry out control of technological parameters in the modes of unisothermal treatment of metal.</p>2022-10-17T00:00:00+03:00Copyright (c) 2022 D. M. Morozhttp://ric.zntu.edu.ua/article/view/265795NONLINEAR REGRESSION MODELS FOR ESTIMATING THE DURATION OF SOFTWARE DEVELOPMENT IN JAVA FOR PC BASED ON THE 2021 ISBSG DATA 2022-10-17T20:35:55+03:00S. B. Prykhodkorvv@zntu.edu.uaA. V. Pukhalevychrvv@zntu.edu.uaK. S. Prykhodkorvv@zntu.edu.uaL. M. Makarovarvv@zntu.edu.ua<p>Context. The problem of estimating the duration of software development in Java for personal computers (PC) is important because, first, failed duration estimating is often the main contributor to failed software projects, second, Java is a popular language, and, third, a personal computer is a widespread multi-purpose computer. The object of the study is the process of estimating the duration of software development in Java for PC. The subject of the study is the nonlinear regression models to estimate the duration of software development in Java for PC.</p> <p>Objective. The goal of the work is to build nonlinear regression models for estimating the duration of software development in Java for PC based on the normalizing transformations and deleting outliers in data to increase the confidence of the estimation in comparison to the ISBSG model for the PC platform.</p> <p>Method. The models, confidence, and prediction intervals of nonlinear regressions to estimate the duration of software development in Java for PC are constructed based on the normalizing transformations for non-Gaussian data with the help of appropriate techniques. The techniques to build the models, confidence, and prediction intervals of nonlinear regressions are based on normalizing transformations. Also, we apply outlier removal for model construction. In general, the above leads to a reduction of the mean magnitude of relative error, the widths of the confidence, and prediction intervals in comparison to nonlinear models constructed without outlier removal application in the model construction process.</p> <p>Results. A comparison of the model based on the decimal logarithm transformation with the nonlinear regression models based on the Johnson (for the SB family) and Box-Cox transformations as both univariate and bivariate ones has been performed.</p> <p>Conclusions. The nonlinear regression model to estimate the duration of software development in Java for PC is constructed based on the decimal logarithm transformation. This model, in comparison with other nonlinear regression models, has smaller widths of the confidence and prediction intervals for effort values that are bigger than 900 person-hours. The prospects for further research may include the application of bivariate normalizing transformations and data sets to construct the nonlinear regression models for estimating the duration of software development in other languages for PC and other platforms, for example, mainframe.</p>2022-10-17T00:00:00+03:00Copyright (c) 2022 S. B. Prykhodko, A. V. Pukhalevych, K. S. Prykhodko, L. M. Makarovahttp://ric.zntu.edu.ua/article/view/265397ANALYSIS OF METHODS FOR AUTOMATED RESEARCH OF DC VOLTAGE CONVERTERS OF MODULAR STRUCTURE 2022-10-01T08:01:38+03:00R. Yu. Kharchenkorvv@zntu.edu.uaA. V. Kochetkovrvv@zntu.edu.uaV. S. Mikhaylenkorvv@zntu.edu.ua<p>Context. DC voltage converters (DCV) are part of modern power supply systems (PSS) and power supply ensuring the operation of electronic and radio devices, telecommunication systems and communication and to a large extent determine their power consumption, reliability, time of readiness for operation, weight, size and cost indicators. Even though there are a large number of different software packages used in engineering practice for the study and design of radio engineering devices, such computer-aided design (CAD) systems and virtual computer simulation of electronic circuits have some limitations that do not allow to quickly carry out the entire complex of studies of DCV required for the analysis of electrical processes in various operating modes.</p> <p>Objective. In this section, the goal is to select the most suitable methods and algorithms that allow the development of software necessary for solving the problems of research and analysis of electrical processes for select energy parameters of the DCV of a modular structure in a separate power channel (PWC).</p> <p>Method. The paper proposes a method that consists in using mathematical models describing electrical processes in DC voltage converters and creating, on the basis of the developed calculation algorithms, specialized software for the automated study of electrical processes in the DCV of a modular structure using a computer.</p> <p>Results. The paper discusses the main methods of automated research of radio engineering devices, which can be used to analyze the electrical processes of pulsed DC voltage converters of a modular structure. Algorithms of calculation are given and, as an example, some results of automated research obtained using this method.</p> <p>Conclusions. The analysis of the known methods of automated research of DC voltage converters of modular structure is carried out. Their advantages and disadvantages are given. It is shown that the most suitable method is based on the use of mathematical models describing electrical processes in DC voltage converters of this type. On the basis of the mathematical models presented in the second section of the work, algorithms and specialized software have been developed that allow them to be widely used in the automated research and design of modular-structured DC voltage converters.</p>2022-10-01T00:00:00+03:00Copyright (c) 2022 Р. Ю. Харченко, О. В. Кочетков, В. С. Михайленкоhttp://ric.zntu.edu.ua/article/view/265892METHOD FOR WEIGHTS CALCULATION BASED ON INTERVAL MULTIPLICATIVE PAIRWISE COMPARISON MATRIX IN DECISIONMAKING MODELS 2022-10-18T22:02:59+03:00N. I. Nedashkovskayarvv@zntu.edu.ua<p>Context. The pairwise comparison method is a component of several decision support methodologies such as the analytic hierarchy and network processes (AHP, ANP), PROMETHEE, TOPSIS and other. This method results in the weight vector of elements of decision-making model and is based on inversely symmetrical pairwise comparison matrices. The evaluation of the elements is carried out mainly by experts under conditions of uncertainty. Therefore, modifications of this method have been explored in recent years, which are based on fuzzy and interval pairwise comparison matrices (IPCMs).</p> <p>Objective. The purpose of the work is to develop a modified method for calculation of crisp weights based on consistent and inconsistent multiplicative IPCMs of elements of decision-making model.</p> <p>Method. The proposed modified method is based on consistent and inconsistent multiplicative IPCMs, fuzzy preference programming and results in more reliable weights for the elements of decision-making model in comparison with other known methods. The differences between the proposed method and the known ones are as follows: coefficients that characterize extended intervals for ratios of weights are introduced; membership functions of fuzzy preference relations are proposed, which depend on values of IPCM elements. The introduction of these coefficients and membership functions made it possible to prove the statement about the required coincidence of the calculated weights based on the “upper” and “lower” models. The introduced coefficients can be further used to find the most inconsistent IPCM elements.</p> <p>Results. Experiments were performed with several IPCMs of different consistency level. The weights on the basis of the considered consistent and weakly consistent IPCMs obtained using the proposed and other known methods have determined the same rankings of the compared objects. Therefore, the results using the proposed method on the basis of such IPCMs do not contradict the results obtained for these types of IPCMs using other known methods. Rankings by the proposed method based on the considered highly inconsistent IPCMs are much closer to rankings based on the corresponding initial undisturbed IPCMs in comparison with rankings obtained using the known FPP method. The most inconsistent elements in the considered IPCMs are found.</p> <p>Conclusions. The developed method has shown its efficiency, results in more reliable weights and can be used for a wide range of decision support problems, scenario analysis, priority calculation, resource allocation, evaluation of decision alternatives and criteria in various application areas.</p>2022-10-18T00:00:00+03:00Copyright (c) 2022 N. I. Nedashkovskayahttp://ric.zntu.edu.ua/article/view/265896SYNTHESIS OF AN ALGORITHM FOR CONTROL OF A TRANSPORT CONVEYOR 2022-10-18T22:32:43+03:00O. M. Pihnastyirvv@zntu.edu.uaO. V. Ivanovskarvv@zntu.edu.ua<p>Context. The problem of optimal control of the flow parameters of a transport system of a conveyor type in the presence of stepwise regulation of the speed of the conveyor section belt is considered. The object of the study is the analytical model of the transport conveyor, which was used as a foundation for the synthesis of optimal control algorithms for the flow parameters of the transport conveyor. The purpose of the work is to develop methods for designing systems for optimal control of the flow parameters of a transport conveyor, taking into account the transport delay with stepwise regulation of the flow parameters of the transport system.</p> <p>Method. An analytical model of the conveyor section has been developed, taking into account the stepwise regulation of the values of the flow parameters of the transport system. When building a model of a conveyor section to determine the dependencies between the flow parameters of the transport system, equations in partial derivatives are written. For the synthesis of algorithms for optimal control of the speed of the conveyor section belt, a control quality criterion is introduced. Using the Pontryagin maximum principle, the problem of optimal control of the flow parameters of the conveyor section is posed. For the transport system, the Hamilton function is written, which takes into account the criterion of control quality, imposed restrictions and differential relationships between the system parameters. A technique for synthesizing an algorithm for optimal control of the speed of a conveyor section belt is demonstrated. The conditions for switching the speed of the conveyor belt are determined.</p> <p>Results. The developed model of the conveyor section is used to synthesize an algorithm for optimal control of the flow parameters of the transport system with stepwise switching of belt speed modes.</p> <p>Conclusions. A technique for synthesizing algorithms for optimal control of the flow parameters of a transport system with stepwise regulation of the speed of the belt of a conveyor section has been developed. The obtained algorithms can be used to reduce the specific energy costs for material transportation at mining enterprises.</p>2022-10-18T00:00:00+03:00Copyright (c) 2022 О. М. Пигнастый, О. В. Ивановскаяhttp://ric.zntu.edu.ua/article/view/265965BEHAVIOR CLASSIFICATION OF CONTROL UNIT OF SYSTEMS 2022-10-19T15:46:04+03:00M. O. Poliakovrvv@zntu.edu.ua<p>Context. The behavior of the system is included in the basic concepts that characterize its functioning. In an event-driven system, behavior is modeled using a state machine. Known classifications of behavior take into account the genus and type of automaton. At the same time, in modern systems, control automata are integrated into hierarchies and have a number of new properties that are not reflected in their classifications.</p> <p>Objective. The purpose of the work is to systematize the forms of specifying the behavior of integrated systems and methods for changing the behavior in the process of their use. The novelty of the proposed classification lies in taking into account the behavior of new types of non-binary, semantic, controlled and changeable individual automata and the structures of these automata.</p> <p>Method. The essence of behavior is presented as the ambiguity of reactions to the input signals of the control automaton, which manifests itself in a certain pattern of changing its states and outputs. When classifying behaviors, the expediency of exploratory behavior is determined. Such ways of achieving the goal as adaptation, change or absorption of the environment, change in the goals of behavior are noted. According to the level of complexity of behavior, systems with predetermined, regulated, organizing, predictable and autonomous behavior are distinguished. Along with the automaton model of behavior, the importance of modeling behavior in the form of a combination of statements is noted. The importance of describing the possible and emergency behavior of the system is noted. A classification of the system’s behavior in terms of constancy and variability is proposed. The structure and principles of the implementation of changeable behavior within the framework of the processes of external control of the automaton and its selfgovernment are described. Based on the concept of arity of behavior, the functional and technological behavior of a finite automaton are singled out. As part of the classification of behavior by the level of formation, the switching, combinational and automatic behavior of states, as well as the behavior of the automaton in the contours of activity and the typical behavior of the automaton in the hierarchy, are described.</p> <p>Experiments. With the use of the proposed classification features, the behavior of control devices of monitoring systems for power transformer parameters, object temperature control and integrated hierarchical systems is analyzed.</p> <p>Results. The proposed classification describes the directions for specifying behavior in complex integrated systems according to 13 main and 84 detailing features, which facilitates the process of designing behavior and highlights new system capabilities.</p> <p>Conclusions. The actual problem of systematization of the behavior of control devices of systems has been solved. Classification features give directions for the use of standard solutions for describing the behavior of the system, which simplifies the process and reduces the complexity of designing its functional structure.</p>2022-10-19T00:00:00+03:00Copyright (c) 2022 M. O. Poliakovhttp://ric.zntu.edu.ua/article/view/265866METHOD OF IMPROVING THE ACCURACY OF NAVIGATION MEMS DATA PROCESSING OF UAV INERTIAL NAVIGATION SYSTEM2022-10-18T18:55:47+03:00O. D. Fesenkorvv@zntu.edu.uaR. O. Bieliakovrvv@zntu.edu.uaH. D. Radzivilovrvv@zntu.edu.uaS. A. Sasinrvv@zntu.edu.uaO. V. Borysovrvv@zntu.edu.uaI. V. Borysovrvv@zntu.edu.uaT. M. Derkachrvv@zntu.edu.uaO. O. Kovalchukrvv@zntu.edu.ua<p>Context. Modern theory and practice of preparation and conduct of hostilities on land, at sea, in the air, and recently in cyberspace dictates the relentless modernization of military equipment. The development of fundamentally new weapons is carried out considering one of the main requirements – maximum automation of operational processes, which allows combatants to distance themselves from each other as much as possible.</p> <p>Among the newest models of armaments on the battlefield, due to the predominantly positional nature of the armed confrontation, unmanned aerial vehicles (UAVs) have become virtually indispensable due to their own multitasking. One of the ways to increase the efficiency of UAVs on the battlefield is to increase the level of technical perfection of flight control systems.</p> <p>Creating new approaches to the design of unmanned aerial vehicle navigation systems, in particular, based on a platformless inertial navigation system is an urgent task that will provide automatic control of the UAV flight route in the absence of corrective signals from the global satellite navigation system.</p> <p>Objective. The purpose of this work is to develop a method for improving the accuracy of MEMC navigation data processing of an inertial navigation system of an unmanned aerial vehicle based on an advanced Madgwik filter.</p> <p>This method will increase the speed of data processing of navigation parameters and the accuracy of determining the positioning parameters in the space of the UAV through the use of an advanced Madgwik filter.</p> <p>The paper shows the developed block diagram of MEMS PINS filtration on the basis of the improved Madgwik filter, the detailed mathematical description of filtration processes is carried out.</p> <p>This method was tested experimentally in the MATLAB software environment using a real set of data collected during the flight of the UAV.</p> <p>Method. To achieve this goal, the following methods were used: intelligent systems, theory of automatic control, pseudo-spectral method; methods based on genetic algorithm and fuzzy neural network apparatus.</p> <p>Results. A method for improving the accuracy of MEMC navigation data processing of an inertial navigation system of an unmanned aerial vehicle based on an advanced Madgwik filter has been developed. The possibility of practical application of the obtained results and in comparison, with traditional methods is investigated. An experiment was performed in the MatLab software environment, and a comparison was made with the method of processing navigation data based on the Madgwik filter and the Kalman filter.</p> <p>Conclusions. The developed method of increasing the accuracy of MEMC navigation data processing of an inertial navigation system of an unmanned aerial vehicle based on an advanced Madgwik filter shows an advantage over known methods in the absence of corrective signals from the global satellite navigation system for accuracy and speed of navigation data processing.</p>2022-10-18T00:00:00+03:00Copyright (c) 2022 O. D. Fesenko, R. O. Bieliakov, H. D. Radzivilov, S. A. Sasin, O. V. Borysov, I. V. Borysov, T. M. Derkach, O. O. Kovalchukhttp://ric.zntu.edu.ua/article/view/265697CREDIBILISTIC FUZZY CLUSTERING BASED ON ANALYSIS OF DATA DISTRIBUTION DENSITY AND THEIR PEAKS 2022-10-16T12:50:01+03:00Ye. V. Bodyanskiyrvv@zntu.edu.uaI. P. Plissrvv@zntu.edu.uaA. Yu. Shafronenkorvv@zntu.edu.uaO. V. Kalynychenkorvv@zntu.edu.ua<p>Context. The task of clustering – classification without a teacher of data arrays occupies a rather important place in Data Mining. To solve this problem, many approaches have been proposed at the moment, differing from each other in a priori assumptions in the studied and analyzed arrays, in the mathematical apparatus that is the basis of certain methods. The solution of clustering problems is complicated by the large dimension of the vectors of the analyzed observations, their distortion of various types.</p> <p>Objective. The purpose of the work is to introduce a fuzzy clustering procedure that combines the advantages of methods based on the analysis of data distribution densities and their peaks, which are characterized by high speed and can work effectively in conditions of classes that overlapping.</p> <p>Method. The method of fuzzy clustering of data arrays, based on the ideas of analyzing the distribution densities of these data, their peaks, and a confidence fuzzy approach has been introduced. The advantage of the proposed approach is to reduce the time for solving optimization problems related to finding attractors of density functions, since the number of calls to the optimization block is determined not by the volume of the analyzed array, but by the number of density peaks of the same array.</p> <p>Results. The method is quite simple in numerical implementation and is not critical to the choice of the optimization procedure. The experimental results confirm the effectiveness of the proposed approach in clustering problems under the condition of cluster intersection and allow us to recommend the proposed method for practical use in solving problems of automatic clustering of large data volumes.</p> <p>Conclusions. The method is quite simple in numerical implementation and is not critical to the choice of the optimization procedure. The advantage of the proposed approach is to reduce the time for solving optimization problems related to finding attractors of density functions, since the number of calls to the optimization block is determined not by the volume of the analyzed array, but by the number of density peaks of the same array. The method is quite simple in numerical implementation and is not critical to the choice of the optimization procedure. The experimental results confirm the effectiveness of the proposed approach in clustering problems under conditions of overlapping clusters.</p>2022-10-16T00:00:00+03:00Copyright (c) 2022 Є. В. Бодянський, І. П. Плісс, А. Ю. Шафроненко, О. В. Калиниченкоhttp://ric.zntu.edu.ua/article/view/265701OPTIMIZATION OF SWARM ROBOTICS ALGORITHMS 2022-10-16T15:54:01+03:00T. A. Vakaliukrvv@zntu.edu.uaR. P. Kukharchukrvv@zntu.edu.uaO. V. Zaikarvv@zntu.edu.uaA. V. Riabkorvv@zntu.edu.ua<p>Context. Among the variety of tasks solved by robotics, one can single out a number of those for the solution of which small dimensions of work are desirable and sometimes necessary. To solve such problems, micro-robots with small dimensions are needed, the mass of which allows them to move freely in tight passages, in difficult weather conditions, and remain unnoticed. At the same time, the small dimensions of the microrobot also impose some indirect restrictions; therefore, it is better to use groups of microrobots for the solution of these problems. The efficiency of using groups of microrobots depends on the chosen control strategy and stochastic search algorithms for optimizing the control of a group (swarm) of microrobots.</p> <p>Objective. The purpose of this work is to consider a group of swarm algorithms (methods) belonging to the class of metaheuristics. The group of these algorithms includes, in particular, the ant colony algorithm, the possibilities of which were investigated to solve the traveling salesman problem, which often arises when developing an algorithm for the behavior of a group of microrobots.</p> <p>Method. At the first stage of the study, the main groups of parameters were identified that determine the flow and characterize the state at any time of the ant colony algorithm: input, control, disturbance parameters, output parameters. After identifying the main groups of parameters, an algorithm was developed, the advantage of which lies in scalability, as well as guaranteed convergence, which makes it possible to obtain an optimal solution regardless of the dimension of the graph. At the second stage, an algorithm was developed, the code of which was implemented in the Matlab language. Computer experiments were carried out to determine the influence of input, control, output, and disturbance parameters on the convergence of the algorithm. Attention was paid to the main groups of indicators that determine the direction of the method and characterize the state of the swarm of microrobots at a given time. In the computational experiment, the number of ants placed in the nodes of the network, the amount of pheromone, the number of graph nodes were varied, the number of iterations to find the shortest path, and the execution time of the method were determined. The final test of modeling and performance of the method was carried out.</p> <p>Results. Research has been carried out on the application of the ant algorithm for solving the traveling salesman problem for test graphs with a random arrangement of vertices; for a constant number of vertices and a change in the number of ants, for a constant number of vertices at different values of the coefficient Q; to solve the traveling salesman problem for a constant number of vertices at different values of the pheromone evaporation coefficient p; for a different number of graph vertices. The results showed that ant methods find good traveling salesman routes much faster than clear-cut combinatorial optimization methods. The dependence of the search time and the found optimal route on the values of control parameters are established using the example of test networks for a different number of graph vertices and iterations.</p> <p>Conclusions. The studies were carried out to make it possible to give recommendations on the application of the ant colony algorithm to control a group (swarm) of microrobots.</p>2022-10-16T00:00:00+03:00Copyright (c) 2022 T. A. Vakaliuk, R. P. Kukharchuk, O. V. Zaika, A. V. Riabkohttp://ric.zntu.edu.ua/article/view/265704EVOLUTIONARY METHOD FOR SYNTHESIS SPIKING NEURAL NETWORKS USING THE NEUROPATTHERN MECHANISM2022-10-16T16:24:05+03:00S. D. Leoshchenkorvv@zntu.edu.uaA. O. Oliinykrvv@zntu.edu.uaS. A. Subbotinrvv@zntu.edu.uaYe. O. Gofmanrvv@zntu.edu.uaM. B. Ilyashenkorvv@zntu.edu.ua<p>Context. The problem of synthesizing pulsed neural networks based on an evolutionary approach to the synthesis of artificial neural networks using a neuropathic mechanism for constructing diagnostic models with a high level of accuracy is considered. The object of research is the process of synthesis of pulsed neural networks using an evolutionary approach and a neuropathic mechanism.</p> <p>Objective of the work is to develop a method for synthesizing pulsed neural networks based on an evolutionary approach using a neuropathic mechanism to build diagnostic models with a high level of accuracy of work.</p> <p>Method. A method for synthesizing pulsed neural networks based on an evolutionary approach is proposed. At the beginning, a population of pulsed neural networks is generated, and a neuropathic mechanism is used for their encoding and further development, which consists in separate encoding of neurons with different activation functions that are determined beforehand. So each pattern with multiple entry points can define the relationship between a pair of points. In the future, this simplifies the evolutionary development of networks. To decipher a pulsed neural network from a pattern, the coordinates for a pair of neurons are passed to the network that creates the pattern. The network output determines the weight and delay of the connection between two neurons in a pulsed neural network. After that, you can evaluate each neuromodel after evolutionary changes and check the criteria for stopping synthesis. This method allows you to reduce the resource intensity during network synthesis by abstracting the evolutionary changes of the network pattern from itself.</p> <p>Results. The developed method is implemented and investigated on the example of the synthesis of a pulsed neural network for use as a model for technical diagnostics. Using the developed method to increase the accuracy of the neuromodel with a test sample by 20%, depending on the computing resources used.</p> <p>Conclusions. The conducted experiments confirmed the operability of the proposed mathematical software and allow us to recommend it for use in practice in the synthesis of pulsed neural networks as the basis of diagnostic models for further automation of tasks of diagnostics, forecasting, evaluation and pattern recognition using big data. Prospects for further research may lie in the use of a neuropathic mechanism for indirect encoding of pulsed neural networks, which will provide even more compact data storage and speed up the synthesis process.</p>2022-10-20T00:00:00+03:00Copyright (c) 2022 С. Д. Леощенко, А. О. Олійник, С. О. Субботін, Є. О. Гофман, М. Б. Ільяшенкоhttp://ric.zntu.edu.ua/article/view/265709IMAGE CLASSIFIER RESILIENT TO ADVERSARIAL ATTACKS, FAULT INJECTIONS AND CONCEPT DRIFT – MODEL ARCHITECTURE AND TRAINING ALGORITHM2022-10-16T16:53:19+03:00V. V. Moskalenkorvv@zntu.edu.uaA. S. Moskalenkorvv@zntu.edu.uaA. G. Korobovrvv@zntu.edu.uaM. O. Zaretskyrvv@zntu.edu.ua<p>Context. The problem of image classification algorithms vulnerability to destructive perturbations has not yet been definitively resolved and is quite relevant for safety-critical applications. Therefore, object of research is the process of training and inference for image classifier that functioning under influences of destructive perturbations. The subjects of the research are model architecture and training algorithm of image classifier that provide resilience to adversarial attacks, fault injection attacks and concept drift.</p> <p>Objective. Stated research goal is to develop effective model architecture and training algorithm that provide resilience to adversarial attacks, fault injections and concept drift.</p> <p>Method. New training algorithm which combines self-knowledge distillation, information measure maximization, class distribution compactness and interclass gap maximization, data compression based on discretization of feature representation and semi-supervised learning based on consistency regularization is proposed.</p> <p>Results. The model architecture and training algorithm of image classifier were developed. The obtained classifier was tested on the Cifar10 dataset to evaluate its resilience over an interval of 200 mini-batches with a training and test size of mini-batch equals to 128 examples for such perturbations: adversarial black-box L∞-attacks with perturbation levels equal to 1, 3, 5 and 10; inversion of one randomly selected bit in a tensor for 10%, 30%, 50% and 60% randomly selected tensors; addition of one new class; real concept drift between a pair of classes. The effect of the feature space dimensionality on the value of the information criterion of the model performance without perturbations and the value of the integral metric of resilience during the exposure to perturbations is considered.</p> <p>Conclusions. The proposed model architecture and learning algorithm provide absorption of part of the disturbing influence, graceful degradation due to hierarchical classes and adaptive computation, and fast adaptation on a limited amount of labeled data. It is shown that adaptive computation saves up to 40% of resources due to early decision-making in the lower sections of the model, but perturbing influence leads to slowing down, which can be considered as graceful degradation. A multi-section structure trained using knowledge self-distillation principles has been shown to provide more than 5% improvement in the value of the integral mectric of resilience compared to an architecture where the decision is made on the last layer of the model. It is observed that the dimensionality of the feature space noticeably affects the resilience to adversarial attacks and can be chosen as a tradeoff between resilience to perturbations and efficiency without perturbations.</p>2022-10-16T00:00:00+03:00Copyright (c) 2022 V. V. Moskalenko, A. S. Moskalenko, A. G. Korobov, M. O. Zaretskyhttp://ric.zntu.edu.ua/article/view/265730MULTILINGUAL TEXT CLASSIFIER USING PRE-TRAINED UNIVERSAL SENTENCE ENCODER MODEL 2022-10-16T21:57:00+03:00O. V. Orlovskiyrvv@zntu.edu.uaKhalili Sohrabrvv@zntu.edu.uaS. E. Ostapovrvv@zntu.edu.uaK. P. Hazdyukrvv@zntu.edu.uaL. M. Shumylyakrvv@zntu.edu.ua<p>Context. Online platforms and environments continue to generate ever-increasing content. The task of automating the moderation of user-generated content continues to be relevant. Of particular note are cases in which, for one reason or another, there is a very small amount of data to teach the classifier. To achieve results under such conditions, it is important to involve the classifier pre-trained models, which were trained on a large amount of data from a wide range. This paper deals with the use of the pre-trained multilingual Universal Sentence Encoder (USE) model as a component of the developed classifier and the affect of hyperparameters on the classification accuracy when learning on a small data amount (~ 0.05% of the dataset).</p> <p>Objective. The goal of this paper is the investigation of the pre-trained multilingual model and optimal hyperparameters influence for learning the text data classifier on the classification result.</p> <p>Method. To solve this problem, a relatively new approach to few-shot learning has recently been used – learning with a relatively small number of examples. Since text data is still the dominant way of transmitting information, the study of the possibilities of constructing a classifier of text data when learning from a small number of examples (~ 0.002–0.05% of the data set) is an actual problem.</p> <p>Results. It is shown that even with a small number of examples for learning (36 per class) due to the use of USE and optimal configuration in learning can achieve high accuracy of classification on English and Russian data, which is extremely important when it is impossible to collect your own large data set. The influence of the approach using USE and a set of different configurations of hyperparameters on the result of the text data classifier on the example of English and Russian data sets is evaluated.</p> <p>Conclusions. During the experiments, a significant degree of relevance of the correct selection of hyperparameters is shown. In particular, this paper considered the batch size, optimizer, number of learning epochs and the percentage of data from the set taken to train the classifier. In the process of experimentation, the optimal configuration of hyperparameters was selected, according to which 86.46% accuracy of classification on the Russian-language data set and 91.13% on the English-language data, respectively, can be achieved in ten seconds of training (training time can be significantly affected by technical means used).</p>2022-10-16T00:00:00+03:00Copyright (c) 2022 O. V. Orlovskiy, Khalili Sohrab, S. E. Ostapov, K. P. Hazdyuk, L. M. Shumylyakhttp://ric.zntu.edu.ua/article/view/265399HOMOGENEOUS PLANS OF MULTI-FACTORY EXPERIMENTS ON QUASI-RANDOM R-ROBERTS SEQUENCES FOR SURROGATE MODELING IN A VORTEX STYLE STRUCTUROSCOPY 2022-10-01T08:52:49+03:00V. Ya. Galchenkorvv@zntu.edu.uaM. D. Koshevoyrvv@zntu.edu.uaR .V. Trembovetskayarvv@zntu.edu.ua<p>Context. The article is devoted to the creation of multifactorial experimental plans based on quasi-random recursive Roberts Rsequences. The object of the research is the process of creating computer-aided experimental design plans. The aim of the article is to create multifactorial, namely six- and seven-factor, uniform plans of experiments with low discrepancies, study of their projection properties and demonstrate their use on the example of surrogate modeling in eddy current structuroscopy.</p> <p>Method. An iterative method of unit hypercube even filling with reference points was used for constructing multidimensional experimental plans. It provides acceptable indicators of homogeneity and is realized on the basis of quasi-random nonparametric additive recursive Roberts R-sequences using irrational numbers, which, in turn, are obtained on the basis of the generalized Fibonacci sequence. The criterion for plans perfection is the assessment of homogeneity in terms of differences invariant with respect to the rotation of coordinates and re-marking and ordering of factors and which quantitatively characterize the deviation of the generated distribution from the ideal uniform.</p> <p>Results. Six- and seven-factor computer uniform experimental plans have been created for cataloging, which are characterized by low discrepancies and sufficiently high-quality projection properties. The tendency, which had been previously proved in the authors' research, for preserving these experimental plans characteristics in multidimensional factor spaces, which is observed with increasing number of plan points, has been confirmed. The evaluation of the quality of the created experimental plans is carried out both by visual analysis of the scattering matrix of all two-dimensional projections and by quantitative indicators of heterogeneity of the set of vectors that form the plan, namely centered and cyclic discrepancies.</p> <p>The example of the initial stage of creating a surrogate model to solve the problem of identifying profiles of electrophysical parameters in eddy current structuroscopy shows certain features of the application for created plans, in particular the transition from the plan for a unit hypercube to the plan in real factor space in the form of a hyperparallelepiped, which does not significantly affect its characteristics of homogeneity of the distribution of points.</p> <p>Conclusions. For the first time, the problem of creating six- and seven-factor uniform plans of experiments with low rates of centered and cyclic discrepancies based on R-sequences of Roberts was solved. The projection properties of the created experimental plans for different number of points were investigated. The method of constructing multidimensional computer plans of experiments taking into account the peculiarities of eddy current structuroscopy was improved. The use of six-dimensional experimental plans on the example of surrogate modeling in eddy current structuroscopy was demonstrated. The results of the study can be used in the construction of surrogate mathematical models of physical processes by any known methods of approximation.</p>2022-10-01T00:00:00+03:00Copyright (c) 2022 V. Ya. Galchenko, M. D. Koshevoy, R .V. Trembovetskayahttp://ric.zntu.edu.ua/article/view/265400KOLMOGOROV-WIENER FILTER FOR CONTINUOUS TRAFFIC PREDICTION IN THE GFSD MODEL 2022-10-01T09:26:22+03:00V. N. Gorevrvv@zntu.edu.uaA. Yu. Gusevrvv@zntu.edu.uaV. I. Korniienkorvv@zntu.edu.ua<p>Context. We investigate the Kolmogorov-Wiener filter weight function for the prediction of continuous stationary telecommunication traffic in the GFSD (Gaussian fractional sum-difference) model.</p> <p>Objective. The aim of the work is to obtain an approximate solution for the corresponding weight function and to illustrate the convergence of the truncated polynomial expansion method used in this paper.</p> <p>Method. The truncated polynomial expansion method is used for the obtaining of an approximate solution for the KolmogorovWiener weight function under consideration. In this paper we used the corresponding method on the basis of the Chebyshev polynomials of the first kind orthogonal on the time interval on which the filter input data are given. It is expected that the results based on other polynomial sets will be similar to the results obtained in this paper.</p> <p>Results. The weight function is investigated in the approximations up to the eighteen-polynomial one. It is shown that approximations of rather large numbers of polynomials lead to a good coincidence of the left-hand side and the right-hand side of the Wiener-Hopf integral equation. The quality of the coincidence is illustrated by the calculation of the corresponding MAPE errors.</p> <p>Conclusions. The paper is devoted to the theoretical construction of the Kolmogorov-Wiener filter for the prediction of continuous stationary telecommunication traffic in the GFSD model. The traffic correlation function in the framework of the GFSD model is a positively defined one, which guarantees the convergence of the truncated polynomial expansion method. The corresponding weight function is obtained in the approximations up to the eighteen-polynomial one. The convergence of the method is illustrated by the calculation of the MAPE errors of misalignment of the left-hand side and the right-hand side of the Wiener-Hopf integral equation under consideration. The results of the paper may be applied to practical traffic prediction in telecommunication systems with data packet transfer.</p>2022-10-01T00:00:00+03:00Copyright (c) 2022 В. М. Горєв, О. Ю. Гусєв, В. І. Корнієнкоhttp://ric.zntu.edu.ua/article/view/265691MATHEMATICAL MODEL FOR DECISION MAKING SYSTEM BASED ON THREE-SEGMENTED LINEAR REGRESSION2022-10-16T11:13:18+03:00V. M. Kuzminrvv@zntu.edu.uaR. V. Khrashchevskyirvv@zntu.edu.uaM. S. Kulikrvv@zntu.edu.uaO. B. Ivanetsrvv@zntu.edu.uaM. Yu. Zaliskyirvv@zntu.edu.uaYu. V. Petrovarvv@zntu.edu.ua<p>Context. The problem of approximation of empirical data in the decision-making system in safety management.. The object of the study was to verify the adequate coefficients of the mathematical model for data approximation using information technology.</p> <p>Objective. The goal of the work is the creation adequate math-ematical model using information technology on the bases analyze different approaches for approximating empirical data an that can be used to predict the current state of the operator in the flight safety system..</p> <p>Method. A comparative analysis of the description of the transformation of information indicators with a non-standard structure. The following models of transformation of information indicators with similar visual representation are selected for comparison: parabolas of the second and third order, single regression and regression with jumps. It is proposed to use new approaches for approximation, based on the use of the criterion proposed by Kuzmin and the Heaviside function. The adequacy of the approximation was checked using these criteria, which allowed to choose an adequate mathematical model to describe the transformation of information indicators. The stages of obtaining a mathematical model were as follows: determining the minimum sum of squares of deviations for all information indicators simultaneously; use of the Heaviside function; optimization of the abscissa axis in certain areas; use of the linearity test. The obtained mathematical model adequately describes the process of transformation of information indicators, which will allow the process of forecasting changes in medical and biological indicators of operators in the performance of professional duties in aviation, as one of the methods of determining the human factor in a proactive approach in flight safety.</p> <p>Results. The results of the study can be used during the construction of mathematical models to describe empirical data of this kind.</p> <p>Conclusions. Experimental studies have suggested recommending the use of three-segment linear regression with jumps as an adequate mathematical model that can be used to formalize the description of empirical data with non-standard structure and can be used in practice to build models for predicting operator dysfunction as one of the causes of adverse events in aviation.</p> <p>Prospects for further research may be the creation of a multiparameter mathematical model that will predict the violation of the functional state of the operator by informative parameters, as well as experimental study of proposed mathematical approaches for a wide range of practical problems of different nature and dimension.</p>2022-10-16T00:00:00+03:00Copyright (c) 2022 V. M. Kuzmin, R. V. Khrashchevskyi, M. S. Kulik, O. B. Ivanets, M. Yu. Zaliskyi, Yu. V. Petrovahttp://ric.zntu.edu.ua/article/view/265695OUTLIER DETECTION TECHNIQUE FOR HETEROGENEOUS DATA USING TRIMMED-MEAN ROBUST ESTIMATORS 2022-10-16T11:58:33+03:00A. V. Shvedrvv@zntu.edu.uaYe. O. Davydenkorvv@zntu.edu.ua<p>Context. Fortunately, the most commonly used in parametric statistics assumptions such as such as normality, linearity, independence, are not always fulfilled in real practice. The main reason for this is the appearance of observations in data samples that differ from the bulk of the data, as a result of which the sample becomes heterogeneous. The application in such conditions of generally accepted estimation procedures, for example, the sample mean, entails the bias increasing and the effectiveness decreasing of the estimates obtained. This, in turn, raises the problem of finding possible solutions to the problem of processing data sets that include outliers, especially in small samples. The object of the study is the process of detecting and excluding anomalous objects from the heterogeneous data sets.</p> <p>Objective. The goal of the work is to develop a procedure for anomaly detection in heterogeneous data sets, and the rationale for using a number of trimmed-mean robust estimators as a statistical measure of the location parameter of distorted parametric distribution models.</p> <p>Method. The problems of analysis (processing) of heterogeneous data containing outliers, sharply distinguished, suspicious observations are considered. The possibilities of using robust estimation methods for processing heterogeneous data have been analyzed. A procedure for identification and extraction of outliers caused by measurement errors, hidden equipment defects, experimental conditions, etc. has been proposed. The proposed approach is based on the procedure of symmetric and asymmetric truncation of the ranked set obtained from the initial sample of measurement data, based on the methods of robust statistics. For a reasonable choice of the value of the truncation coefficient, it is proposed to use adaptive robust procedures. Observations that fell into the zone of smallest and lowest ordinal statistics are considered outliers.</p> <p>Results. The proposed approach allows, in contrast to the traditional criteria for identifying outlying observations, such as the Smirnov (Grubbs) criterion, the Dixon criterion, etc., to split the analyzed set of data into a homogeneous component and identify the set of outlying observations, assuming that their share in the total set of analyzed data is unknown.</p> <p>Conclusions. The article proposes the use of robust statistics methods for the formation of supposed zones containing homogeneous and outlying observations in the ranked set, built on the basis of the initial sample of the analyzed data. It is proposed to use a complex of adaptive robust procedures to establish the expected truncation levels that form the zones of outlying observations in the region of the lowest and smallest order statistics of the ranked dataset. The final level of truncation of the ranked dataset is refined on the basis of existing criteria that allow checking the boundary observations (minimum and maximum) for outliers.</p>2022-10-16T00:00:00+03:00Copyright (c) 2022 A. V. Shved, Ye. O. Davydenko