TECHNICAL SCIENCES

DOI: 10.12737/2219-0767-2023-16-4-7-15

A.V. Akimenko1, E.A. Anikeev1, R.Y. Medvedev1

Methodology and algorithm for calculating of local pressure losses in pipelines
  • 1Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The article is devoted to the hydraulic calculation of pipelines. For the storage of liquid products used in the national economy, there are tanks, which are usually combined into tank farms. Equipment for transporting liquids within the tank farm includes pumping units, pipelines, shut-off and control devices, etc. The growing needs of the economy create the necessity of build new and expand existing storage facilities for liquid products at industrial and transport objects. Hydraulic calculation is an important part of the tank farms pipeline systems design. This paper presents a methodology and algorithm for determining of local fluid pressure losses in pipelines. The calculation is based on the characteristics of pipeline system sections in which local hydraulic resistance occurs: a change in the diameter or direction of the pipeline, installation locations of auxiliary devices, etc. The Weisbach formula is used to calculate the local pressure losses. This takes into account the values of the local resistances coefficients and average flow velocities in the respective sections. The average flow velocities are determined by the given values of the flow rates and flow profiles on the sections. The local losses coefficients, depending on the type of resistance, are also found according to the calculation formulas, or are set as the initial values. Local pressure losses are calculated for curved sections of pipelines, conical transitions (confusers and diffusers), inlet and outlet sections, shut-off, control and safety valves, instrumentation, branches.
  • Ключевые слова — Methodology, algorithm, pipeline, local pressure losses, local resistance coefficient, average flow velocity.

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  • С. 7-15.

DOI: 10.12737/2219-0767-2023-16-4-15-23

Yu.V. Bugaev1, L.A. Korobova2, S.V. Chikunov2, N.Yu. Yudina3

The task of assignments in project management
  • 1Military Training and Scientific Center of the Air Force «Air Force Academy named after prof. N.E. Zhukovsky and Yu.A. Gagarina», This email address is being protected from spambots. You need JavaScript enabled to view it.

    2Voronezh State University of Engineering Technologies, This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

    3Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

  • When describing projects and tasks, consisting of a set of sequential and interconnected operations, dynamic models are used. A network diagram is used to visually represent the structure of the projects under consideration and the interaction of work during the project. The network diagram is represented as a graph. The components of the graph are interpreted in two ways. If the vertices are events, and the arcs between them are the duration of their occurrence, in this case the problem of project management is considered. If the vertex is the work, and the arcs are the time of their execution, then the problem of finding the optimal (or critical) path is solved. In both variants of the tasks under consideration, it is important to allocate resources or performers to commit events or perform tasks. The optimality criterion for such a formulation of tasks will be an expression for calculating the total time for the execution of work. As restrictions, expressions will be used that determine the individuality of the choice of work and the assignment of performers to them, as well as the expression on the target dates for the implementation of the project in full. The total time for the execution of work and compliance with the deadlines for the implementation of the project can be considered as two main criteria for project management. This article attempts to improve the algorithm for solving the project management problem by introducing a more flexible system of weights.
  • Ключевые слова — Project management, network diagrams, assignment problem, critical path, choice function, paths in a contourless graph.

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  • С. 15-23.

DOI: 10.12737/2219-0767-2023-16-4-23-32

S.A. Evdokimova1, T.P. Novikova1, A.I. Novikov1

Using clustering methods to analyze sales of auto parts at a truck service station
  • 1Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

  • Clustering methods are widely used to divide goods into groups depending on sales volumes in order to build an optimal purchasing planning and inventory management strategy. Cluster analysis methods do not provide an unambiguous partition of the original set of objects, therefore, in the work, existing clustering methods were analyzed to study sales of auto parts at truck service stations. To solve the problem, the following methods were chosen: k-means, hierarchical agglomerative clustering and DBSCAN. Before using the k-means method, the elbow method found the optimal number of clusters. The DBSCAN method is based on object density and automatically determines the number of clusters. The initial data for cluster analysis was information on sales of spare parts at truck service stations for 3 years; clustering was applied to data by year. The DBSCAN algorithm showed unsatisfactory results, since most of the goods (86%) were identified in one cluster, while others contained units of goods. The k-means method gave the best partitioning result, each group has a different volume. The distribution of goods in clusters changes over three years, so managers should study the change in the affiliation of goods to one group or another. The obtained clustering results will help determine the real needs of spare parts at truck service stations and build an optimal procurement strategy.
  • Ключевые слова — Cluster analysis, Data Mining, k-means, DBSCAN, hierarchical agglomerative clustering, dendrogram, elbow method.

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  • С. 23-32.

DOI: 10.12737/2219-0767-2023-16-4-33-40

P.Y. Kabankov1

Structural and parametric synthesis of an automated special-purpose information system for the formation and control of combat training activities
  • 1«Scientific and Production Association Russian Basic Information Technologies» (NGO «RusBITech»), This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The article considers the issue of solving the problem of structural parametric synthesis of an automated system for planning and monitoring the implementation of combat training activities in the Armed Forces of the Russian Federation. It is shown that the features of the proposed method and elements of particular methods for solving problems of structural parametric synthesis of automated special purpose systems (AS SN) open up new possibilities for optimizing the structure of the automated system for planning and controlling the implementation of combat training activities (ASPM BP). To reduce the dimensionality of the solved problems in structural-parametric synthesis and a compact description of alternative variants of their construction, formed on the basis of morphological analysis, a logical-combinatorial approach was applied. An example of a system for planning and controlling the implementation of combat training measures is considered - special training of specialists in the organization of air traffic (persons of hydraulic fracturing) of an aviation unit, which provides theoretical and practical training both on standard equipment and simulator training. It is concluded that the features of the method, as well as the novelty elements of particular methods for solving problems of structural-parametric synthesis of AS CH, open up new opportunities for optimizing the structure of the ASPM BP and the topology of computer networks, which currently should be widely used in practice when solving the tasks of its further modernization.
  • Ключевые слова — Management, planning, preparation, synthesis, automated system, electronic means, system model, flight guidance group.

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  • С. 33-40.

DOI: 10.12737/2219-0767-2023-16-4-40-48

O.V. Kochnov1, A.V. Kochegarov2, S.A. Sazonova2

Mathematical modeling in the management of fire protection systems of objects
  • 1Escort Group LLC, Moscow, This email address is being protected from spambots. You need JavaScript enabled to view it.

    2Voronezh State Technical University (VSTU), This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The problem of reliability of fire protection systems at the production stage and at the design stage is considered. Mathematical modeling of processes aimed at ensuring the safe evacuation of people in case of fire, taking into account the coefficient of compliance of the technical solution used in the methodology for calculating the amount of individual fire risk. The structural constructions of fire protection systems are analyzed with a demonstration of methods for assessing the reliability and structural significance of various structural constructions of fire protection systems on the basis and example of statistical data. To determine the coefficient of compliance of the fire alarm system, in the form of probabilities of effective operation of the fire alarm system, the following parameters are taken into account: the probability of effective operation of the fire alarm system, smoke protection system, and emergency warning system. The performance statistics of the SOUE for the period from 2013 to 2021 are graphically shown. It is shown that the resulting probability of effective operation of the SPS is determined by the structural design, and the corresponding formulas and examples are given. The dependences of the efficiency of the functioning of the SPZ on the efficiency of the SOUE for various structural arrangements have been constructed. Dependencies of the performance of the SDR were constructed based on statistical data. Analytical and graphical dependences of the reliability of the SOUE on the reliability of the SPS for various structural constructions are derived. Depending on the task being solved, the reliability (as well as efficiency) of the fire protection system can be controlled, while the reliability of the fire safety protection system can be determined depending on the required fire risk. Thus, one of the most important measures that minimizes individual risk should be considered to be increasing the efficiency of each of the subsystems included in the SDR, including the SOUE, as well as optimizing the structural design of the SDR.
  • Ключевые слова — Mathematical modeling, probability of effective operation of warning systems and management of evacuation of people in case of fire SOUE, minimizing the amount of individual fire risk, reliability and significance of the fire protection system, compliance coefficient of SOUE.

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  • С. 40-48.

DOI: 10.12737/2219-0767-2023-16-4-49-60

S.D. Nikolenko1, S.A. Sazonova1

Modeling of processes in bent beams with dispersed reinforcement under alternating influences
  • 1Voronezh State Technical University, This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The results of studies of the effect of dispersed reinforcement on the behavior of structures under static load of one sign or alternating static load under reinforcement with relatively long fibers are considered. The developed mathematical models and methods of experimental investigation of the behavior of beam elements with dispersed and combined reinforcement under alternating static effects, based on mathematical planning using a specially manufactured frame, are presented. The behavior of fibro-reinforced concrete and reinforced concrete beam elements under similar influences is compared. The results of experimental studies of cubes and prisms for static and compression are considered. The presented results of experimental studies allow us to conclude about the influence of dispersed reinforcement with relatively short fibers on the behavior of beam structures under alternating low-cycle static effects and the feasibility of combined reinforcement of structures operating under such influences. The results of the full-scale experiment are compared with the results of numerical modeling of processes in the studied structural elements. It is revealed that the use of dispersed reinforcement with relatively short fibers in combined reinforced beam structures operating under alternating influences will increase the crack resistance, and with a certain percentage of reinforcement, the strength of such structures. At the same time, the use of relatively short fibers will significantly reduce the complexity of manufacturing such structures.
  • Ключевые слова — Mathematical modeling, processes in beams, alternating effects, dispersed reinforcement, combined reinforcement, fibro-reinforced concrete, experimental study.

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  • С. 49-60.

DOI: 10.12737/2219-0767-2023-16-4-61-70

T.P. Novikova1, S.A. Evdokimova1, R.Y. Medvedev1

Computer-aided design of the location of wireless cellular base stations
  • 1Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The planning of wireless base stations is a multi-purpose task of optimizing combinations, and the main goals of optimization include cost reduction, increased coverage and quality preservation. The paper pays attention to the consideration of the coverage radius, the quality of signal transmission and two types of signal interference. To implement the tasks set for the location of the base station, the following algorithms were used: PMET-PSO and PPSO-GA, which became the basis for the module for solving problems of designing the location of base stations in the proposed automated design system. Using the C/S architecture and 3D CAD based on ACIS and Google Earth, based on an in-depth analysis of the actual requirements for the base station, a CAD for the location of wireless cellular base stations is proposed. The main technical modules of the system are the technology of rapid modeling involving objects in the planning of base stations, the technology of multi-purpose modeling and solving problems of planning base stations and the technology of distributed joint integration of program modules. The technology for solving planning problems uses the PMET-PSO and PPSO-GA algorithms. Both algorithms compensate for the disadvantages of their original algorithms (MET-PSO and PSO-GA) and retain their respective advantages: time - PMET-PSO, and if the user does not care about time and wants to get the optimal possible solution, then the PPSO-GA algorithm. Both algorithms combine memory computing with good parallelism, which plays a crucial role in solving multi-purpose optimization problems.
  • Ключевые слова — PMET-PSO, PPSO-GA, base station, wireless communication, design, station layout.

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  • С. 61-70.

DOI: 10.12737/2219-0767-2023-16-4-71-80

A.V. Poluektov1, D.V. Shekhovtsov2, I.V. Skorkin2, P.A. Chubunov3

Integrating the Calibre software product into the Cadence Virtuoso environment and increasing the intelligent properties of CAD IC design
  • 1Voronezh State University of Forestry and Technologies named after G.F. Morozov

    2SC «Russian Electronics»

    3JSC «Research Institute of Space Instrumentation»

  • The article discusses the technology for integrating Caliber into the Cadence Virtuoso environment and describes the impact of this integration on the productivity of engineers. The possibility of ensuring optimal interaction between developers and increasing the overall efficiency of the design team is considered, leading to end-to-end design optimization. The integration of Caliber and Cadence Virtuoso represents an important step in Electronic Design Development (EDA) and can solve a number of problems while improving the efficiency of the verification and analysis process. Here are a few aspects that demonstrate the need and benefits of such integration, data interoperability, ensuring that information received from Virtuoso can be used correctly and efficiently in Caliber and vice versa, automating the data transfer process and performing verification, speeding up all development cycles, verification can carry out, even in the early stages of design, smoother interaction between different teams using Virtuoso and Caliber. In the second part of the article, physical verification and extraction of the project is carried out using the graphical interface of the Mentor Graphics Caliber CAD system, where the topology is checked for compliance with the CTO (DRC check). For the DRC check of a project, check is performed using the Caliber application. Using Caliber in Cadence Virtuoso allows for more accurate verification of designed electronic circuits and microchips. Caliber provides deeper analysis of physical parameters such as layer compatibility, electrical and geometric rules, leading to the identification of potential problems earlier in development.
  • Ключевые слова — Integration, Caliber, Cadence Virtuoso, verification, Mentor Graphics Caliber CAD graphical interface, artificial intelligence.

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  • С. 71-80

DOI: 10.12737/2219-0767-2023-16-4-81-88

S.A. Sazonova1, A.V. Kochegarov1, D.V. Logachev1

Mathematical modeling of flow distribution of the perturbed state of a thermal power system
  • 1Voronezh State Technical University», This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The results of the development of a model for the analysis of the disturbed state of a thermal power hydraulic system on the example of a heat supply system are presented. The parameters of the operating mode of the thermal power hydraulic system after the influence of disturbing factors on it were evaluated. It is shown that the classification of stationary states of the studied fragment of the system with steady flow distribution is oriented to boundary conditions. The boundary conditions classified into four types are considered. It is noted that the choice of boundary conditions must be carried out taking into account the use of energy equivalence in the analysis of the perturbed state of the studied fragment of the hydraulic system. The developed model of steady-state flow distribution with a non-isothermal flow of a viscous medium is presented. It is concluded that the developed mathematical model represents a qualitatively new approach to formalizing the problems of flow distribution analysis in systems with adjustable parameters. The model can be considered as a generalized form of representation of particular flow distribution models when describing the object under study, which can be considered as a hydraulic circuit with adjustable parameters with a non-isothermal flow of a viscous medium. It is shown that this model can be used to analyze and describe the flows and properties of a viscous medium in such systems where it is possible to regulate the parameters, and non-isothermal flow is taken into account.
  • Ключевые слова — Mathematical modeling, processes of formation of boundary conditions, thermal power hydraulic system, perturbed state of the system, flow distribution analysis, energy equivalence, variational principle.

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  • С. 81-88.

DOI: 10.12737/2219-0767-2023-16-4-89-98

M.A. Soldatova1

Development of a simulation model of the influence of communication with users on management and decision-making to assess the investment attractiveness of the region
  • 1Russian State Agrarian University - Moscow Timiryazev Agricultural Academy, This email address is being protected from spambots. You need JavaScript enabled to view it.

  • Communication with users is of great importance for management and decision-making in assessing the investment attractiveness of the region. Most app users have little interest in updates to the financial situation of the regions or the adoption of new laws on subsidizing the regions. To better inform users, applications use various forms of notifications. Many Russian companies are considering the use of direct communication with users and most of them choose the communication channel – email. Informing about important changes via email is most convenient for users due to its conciseness and unobtrusiveness of the solution. The article presents the results of a study of the impact of sending email notifications on the investment activity of users of the application for assessing the investment attractiveness of the regions of the Russian Federation. From this study, conclusions were drawn that information based on the results of assessing the investment attractiveness of regions will become more widespread and popular, which will allow a greater number of private investors to participate in investment projects in the regions. If the application sends updated information on the investment attractiveness of the regions of the Russian Federation, new provisions in legislation and subsidies, this will increase private investment activity.
  • Ключевые слова — Investment attractiveness of Russian regions, communication channel, email notification, simulation model, A/B testing, investment activity, investment projects.

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    [8] Investicionnaya privlekatel'nost' regionov: gosudarstvo podderzhalo status-kvo [Investment attractiveness of the regions: the state has supported the status quo]. – URL: https://raexpert.ru/researches/regions/regions_invest_2022/(data obrascheniya: 25.05.2023).

    [9] V kakie regiony gosudarstvo i biznes vlozhili bol'she vsego deneg v 2022 godu [In which regions the state and business invested the most money in 2022]. – URL: https://journal.tinkoff.ru/news/reg-investments-2022/(data obrascheniya: 01.06.2023).

    [10] Investicionnaya privlekatel'nost' regionov Rossii [Investment attractiveness of Russian regions]. – URL: https://investprojects.info/regions(data obrascheniya: 01.06.2023).

    [11] Regional'nyy investicionnyy standart [Regional Investment Standard]. – URL: https://asi.ru/government_officials/rating/investment/(data obrascheniya: 01.06.2023).

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  • С. 89-98.

DOI: 10.12737/2219-0767-2023-16-4-99-106

V.I. Sumin1, A.S. Kravchenko2

Features of modeling the functioning of universities as complex organizational systems of law enforcement agencies
  • 1Voronezh Institute of the Russian Federal Penitentiary Service, This email address is being protected from spambots. You need JavaScript enabled to view it.

    2Voronezh State University of Forestry and Technologies named after G. F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

  • The article considers an approach to solving the problem of improving the indicators characterizing the state of the educational group of a modern university, which is currently difficult to imagine without the use of systems operating on the basis of mathematical models of SED. The elements of assessing approaches to improving the effectiveness of management decision-making are considered, which cannot always be characterized quantitatively. To increase the effectiveness of the R&D, it is proposed to use methods and tools that implement a quantitative assessment of the state of the management system, which is able to justify the decision made. When modeling managerial decision-making in complex organizational systems of law enforcement agencies, a conceptual approach is proposed that is based on situational modeling and provides information to the decision-maker in this system about his current state. Based on this situational information, the decision-maker will make recommendations in the interests of situational management and ensure its adaptation to real needs. The situational approach uses a set-theoretic representation of models, which will allow combining the spatial and structural interpretation of this model. Determining the relationships between employees in complex organizational systems of law enforcement agencies will allow you to link tasks with employees based on input-output information flows using a multi-criteria assessment of alternative.
  • Ключевые слова — Complex organizational systems of power structures; objective and subjective parameters; situational modeling; operations research; systematic approach; set-theoretic approach; zero-unit matrix, multi-criteria assessment of alternatives.

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    [2] Application of the information systems in decision-making at the different levels of an enterprise management / V.I. Sumin, D.G. Zybin, R.B. Golovkin [et al.] // Journal of Physics: Conference Series. – 2021. – Vol. 1902. – S. 012090. – DOI: 10.1088/1742-6596/1902/1/012090.

    [3] Levina, S.Sh. Upravlencheskie resheniya : konspekt lekciy dlya napravleniy podgotovki 38.03.02 "Menedzhment" i 38.03.03 "Upravlenie personalom" [Managerial decisions : lecture notes for training areas 38.03.02 "Management" and 38.03.03 "Personnel management"] / S.Sh. Levina, M.V. Chernikovskaya. – Penza : Penzenskiy gosudarstvennyy universitet arhitektury i stroitel'stva, 2022. – 124 s.

    [4] Yukaeva, V.S. Prinyatie upravlencheskih resheniy [Managerial decision–making] : uchebnik / V.S. Yukaeva, E.V. Zubareva, V.V. Chuvikova. – M. : Dashkov i K, 2016. – 324 s.

    [5] Kuznecova, L.D. Ispol'zovanie situacionnogo modelirovaniya dlya prinyatiya upravlencheskih resheniy [The use of situational modeling for managerial decision-making] / L.D. Kuznecova, D.A. Tananyhin, P.K. Hovanov // Informacionnye tehnologii v stroitel'nyh, social'nyh i ekonomicheskih sistemah. – 2021. – № 1(23). – S. 14-18.

    [6] Prostranstvo celey v upravlenii obuchaemym v processe obucheniya sotrudnikov FSIN Rossii [The space of goals in student management in the process of training employees of the Federal Penitentiary Service of Russia] / A.S. Kravchenko, A.I. Sumin, S.L. Saharov, P.S. Bochkin // Vestnik Voronezhskogo instituta FSIN Rossii. – 2013. – № 2. – S. 71-73.

    [7] Sumin, V.I. Analiz processa optimizacii formirovaniya ierarhicheskih mnogourovnevyh slozhnyh organizacionnyh sistem [Analysis of the optimization process of the formation of hierarchical multilevel complex organizational systems] / V.I. Sumin, T.E. Smolenceva // Vestnik Voronezhskogo instituta FSIN Rossii. – 2020. – № 2. – S. 139-144.

    [8] Research of the process of functioning of hierarchical multi-level complex organizational systems / V.l. Sumin, D.G. Zybin, R.B. Golovkin [et al.] // Journal of Physics: Conference Series. – 2021. – Vol. 1902. – S. 012089. – DOI: 10.1088/1742-6596/1902/1/012089.

    [9] Optimization of the task of forming a management system of hierarchical multilevel complex organizational systems / A.S. Zuev, T.E. Smolentseva, R.A. Isaev // Journal of Physics: Conference Series. – 2021. – Vol. 2094. – S. 032034. – DOI: 10.1088/1742-6596/2094/3/032034.

    [10] Information model of trainee characteristics with definition of stochastic behavior of dynamic system / V.I. Sumin, T.E. Smolentseva, S.V. Belokurov, O.V. Lankin // Journal of Physics: Conference Series. – 2018. – Vol. 973. – S. 012047. – DOI: 10.1088/1742-6596/973/1/012047.

    [11] Yusupova, N.I. Ierarhicheskie situacionnye modeli dlya SPPR v slozhnyh sistemah [Hierarchical situational models for DSS in complex systems] / N.I. Yusupova, O.N. Smetanina, K.R. Enikeeva // Sovremennye problemy nauki i obrazovaniya. – 2013. – № 4. – S. 63.

    [12] Razrabotka matematicheskoy modeli optimizacii processa obucheniya kursantov silovyh struktur v vysshih uchebnyh zavedeniyah kak slozhnoy sistemy [Development of a mathematical model for optimizing the training process of cadets of law enforcement agencies in higher educational institutions as a complex system] / V.I. Sumin, A.S. Dubrovin, S.V. Rodin, V.K. Zol'nikov // Modelirovanie sistem i processov. – 2023. – T. 16, № 3. – S. 70-78. – DOI: 10.12737/2219-0767-2023-16-3-70-78.

    [13] Matematicheskie modeli proverki kachestva obucheniya na etape dovuzovskoy podgotovki [Mathematical models for checking the quality of education at the stage of pre-university training] / Yu.V. Korypaeva, N.E. Krasova, L.D. Kuznecova, S.V. Ryabov // Vestnik Voronezhskogo instituta FSIN Rossii. – 2019. – № 4. – S. 91-98.

    [14] Sumin, V.I. Razrabotka modeley i algoritmov informacionnyh struktur i processov ob'ektov osoboy vazhnosti [Development of models and algorithms of information structures and processes of objects of special importance] / V.I. Sumin, D.Yu. Churakov, E.G. Car'kova // Promyshlennye ASU i kontrollery. – 2019. – № 4. – S. 30-39.

    [15] Informacionno-algoritmicheskoe obespechenie effektivnyh sistem upravleniya [Information and algorithmic support of effective control systems] / Yu.S. Tverskoy, I.A. Kolesov, A.V. Golubev [i dr.] // Vestnik Ivanovskogo gosudarstvennogo energeticheskogo universiteta. – 2022. – № 3. – S. 45-56. – DOI: 10.17588/2072-2672.2022.3.045-056.

    [16] Informacionno-algoritmicheskoe obespechenie effektivnyh sistem upravleniya [Information and algorithmic support of effective control systems] / Yu.S. Tverskoy, I.A. Kolesov, A.V. Golubev [i dr.] // Vestnik Ivanovskogo gosudarstvennogo energeticheskogo universiteta. – 2022. – № 3. – S. 45-56. – DOI: 10.17588/2072-2672.2022.3.045-056.

    [17] Osnovy upravleniya v pravoohranitel'nyh organah [Fundamentals of management in law enforcement agencies] : uchebnoe posobie / V.P. Balan, A.V. Dushkin, V.I. Novosel'cev, V.I. Sumin. – Voronezh : Nauchnaya kniga, 2022. – 100 s.

    [18] Saati, T. Prinyatie resheniy. Metod analiza ierarhiy [Decision-making. The method of hierarchy analysis] / T. Saati ; per. s angl. R.G. Vachnadze. – M. : Radio i svyaz', 1993. – 278 s.

    [19] Semenihina, N.B. Metod analiza ierarhiy kak sistemnyy podhod k probleme prinyatiya resheniy [Method of hierarchy analysis as a systematic approach to the problem of decision-making] / N.B. Semenihina // Diskussiya. – 2023. – № 2(117). – S. 38-48. – DOI: 10.46320/2077-7639-2023-2-117-38-48.

    [20] Analysis of methods of processing of expert information by optimization of administrative decisions / D.Y. Churakov, E.G. Tsarkova, E.V. Grechishnikov, N.D. Marchenko // Journal of Physics: Conference Series. – 2018. – Vol. 973. – S. 012030. – DOI: 10.1088/1742-6596/973/1/012030.

  • С. 99-106.

DOI: 10.12737/2219-0767-2023-16-4-107-116

V.I. Sumin1, S.V. Rodin2, A.S. Kravchenko3

Development of a mathematical optimization model and application of dynamic programming methods in the task of managing the learning group of the training process of cadets of law enforcement agencies in higher educational institutions
  • 1Voronezh Institute of the Russian Federal Penitentiary Service, This email address is being protected from spambots. You need JavaScript enabled to view it.

    2Voronezh Institute of the Ministry of Internal Affairs of Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.

    3Voronezh State University of Forestry and Technologies named after G. F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

  • This article discusses the problem of developing a mathematical model and applying dynamic programming methods to improve the effectiveness of the training process for students in the interests of law enforcement agencies of the Russian Federation in subordinate higher educational institutions, which, within the framework of this article, are considered as a complex organizational system. Currently, due to the existential challenges presented to our country, it is necessary to solve more multifaceted professional tasks by employees of law enforcement agencies in their practical activities. All this requires advanced professional training for solving professional tasks by law enforcement officers who study at higher educational institutions. The training of law enforcement officers in higher education institutions, like any complex organizational system, depends on the objective and subjective parameters that affect the functioning of this system. To this end, in order to increase the effectiveness of managerial decision-making in the process of training cadets of law enforcement agencies, heads of higher educational institutions responsible for improving the quality of the educational process should introduce information systems into the activity that operate on the basis of a mathematical apparatus describing the model of preparing students to perform professional duties. The development of mathematical models involves the use of the apparatus of the theory of operations research, as well as the theory of Markov random processes, in particular, the description of functioning based on processes with discrete states and continuous time and using game theory in order to achieve the necessary practical results is considered.
  • Ключевые слова — Complex organizational systems, management decision-making, operations research method, Markov random process theory, Poisson flow, exponential distribution law, Kolmogorov equations, game theory.

  • [1] Sumin, V.I. Struktura kachestva obucheniya v uchebnyh zavedeniyah [The structure of the quality of education in educational institutions] / V.I. Sumin, A.I. Sumin, L.D. Kuznecova // Problemy informacionnogo obespecheniya deyatel'nosti pravoohranitel'nyh organov : Materialy 3-y Mezhdunarodnoy nauchno-prakticheskoy konferencii, Belgorod, 14 oktyabrya 2016 goda. – Belgorod, 2017. – S. 193-195.

    [2] Razrabotka matematicheskoy modeli optimizacii processa obucheniya kursantov silovyh struktur v vysshih uchebnyh zavedeniyah kak slozhnoy sistemy [Development of a mathematical model for optimizing the process of training cadets of law enforcement agencies in higher educational institutions as a complex system] / V.I. Sumin, A.S. Dubrovin, S.V. Rodin, V.K. Zol'nikov // Modelirovanie sistem i processov. – 2023. – T. 16, № 3. – S. 70-78. – DOI: 10.12737/2219-0767-2023-16-3-70-78.

    [3] Osnovy upravleniya v pravoohranitel'nyh organah : uchebnoe posobie [Fundamentals of management in law enforcement agencies] / V.P. Balan, A.V. Dushkin, V.I. Novosel'cev, V.I. Sumin. - Voronezh : Nauchnaya kniga, 2022. – 100 s.

    [4] Information model of trainee characteristics with definition of stochastic behavior of dynamic system / V.I. Sumin, T.E. Smolentseva, S.V. Belokurov, O.V. Lankin // Journal of Physics: Conference Series. – 2018. – Vol. 973. – S. 012047. – DOI: 10.1088/1742-6596/973/1/012047.

    [5] Smolentseva, T.E. Description of the process of information flows formalization in the quality management system of education / T.E. Smolentseva, E.G. Berger, I.S. Gantz // III International Workshop on Modeling, Information Processing and Computing (MIP: Computing-2021). – 2021. – Vol. 2899. – Pp. 48-53. – DOI: 10.47813/dnit-mip3/2021-2899-48-53.

    [6] Matematicheskoe modelirovanie v zadache o vybore optimal'nogo mesta sluzhby dlya voennosluzhaschego [Mathematical modeling in the problem of choosing the optimal place of service for a serviceman] / Yu.V. Korypaeva, L.D. Kuznecova, V.I. Sumin, D.B. Desyatov // Vestnik Voronezhskogo instituta FSIN Rossii. – 2022. – № 4. – S. 107-112.

    [7] Sumin, V.I. Optimizaciya funkcionirovaniya informacionnyh sistem special'nogo naznacheniya [Optimization of the functioning of special purpose information systems] / V.I. Sumin, Yu.Yu. Gromov, V.M. Tyutyunnik // Nauchno-tehnicheskaya informaciya. Seriya 2: Informacionnye processy i sistemy. – 2023. – № 5. – S. 1-6. – DOI: 10.36535/0548-0027-2023-05-1.

    [8] Svidetel'stvo o gosudarstvennoy registracii programmy dlya EVM № 2023617279 Rossiyskaya Federaciya. "Ekspertnaya sistema "OUFSIS" ["Expert system "OUFSIS"] : № 2023615542 : zayavl. 23.03.2023 : opubl. 07.04.2023 / M.A. Lukin, V. I. Sumin, V. A. Mel'nik, E. D. Grachev.

    [9] Rylin, V.V. Modelirovanie processa obucheniya specialistov voysk radiacionnoy, himicheskoy i biologicheskoy zaschity na osnove teorii markovskih processov [Modeling of the process of training specialists in radiation, chemical and biological protection troops based on the theory of Markov processes] / V.V. Rylin // Vestnik voennogo obrazovaniya. – 2022. – № 1(34). – S. 67-72.

    [10] Sumin, V.I. Analiz processa optimizacii formirovaniya ierarhicheskih mnogourovnevyh slozhnyh organizacionnyh sistem [Analysis of the optimization process of the formation of hierarchical multilevel complex organizational systems] / V.I. Sumin, T.E. Smolenceva // Vestnik Voronezhskogo instituta FSIN Rossii. – 2020. – № 2. – S. 139-144.

    [11] Arkhipov, A.E. Structure synthesis of visualization system for the adaptive training complexes / A. E. Arkhipov, S. V. Karpuhskin, A. V. Kalach // Journal of Physics: Conference Series. – 2021. – Vol. 1902. – S. 012048. – DOI: 10.1088/1742-6596/1902/1/012048.

    [12] Levina, S.Sh. Upravlencheskie resheniya : konspekt lekciy dlya napravleniy podgotovki 38.03.02 "Menedzhment" i 38.03.03 "Upravlenie personalom" [Managerial decisions : lecture notes for training areas 38.03.02 "Management" and 38.03.03 "Personnel management"] / S. Sh. Levina, M. V. Chernikovskaya. – Penza : Penzenskiy gosudarstvennyy universitet arhitektury i stroitel'stva, 2022. – 124 s.

    [13] Yukaeva, V.S. Prinyatie upravlencheskih resheniy : uchebnik [Managerial decision-making] / V.S. Yukaeva, E.V. Zubareva, V.V. Chuvikova. – Moskva : Dashkov i K, 2016. – 324 s.

    [14] Scheglov, K.A. Korrektnost' markovskih modeley s diskretnymi sostoyaniyami i nepreryvnym vremenem [Correctness of Markov models with discrete states and continuous time] / K.A. Scheglov, A.Yu. Scheglov // Izvestiya vysshih uchebnyh zavedeniy. Priborostroenie. – 2019. – T. 62, № 1. – S. 40-49. – DOI: 10.17586/0021-3454-2019-62-1-40-49.

    [15] Sumin, V.I. Razrabotka modeley i algoritmov informacionnyh struktur i processov ob'ektov osoboy vazhnosti [Development of models and algorithms of information structures and processes of objects of special importance] / V.I. Sumin, D.Yu. Churakov, E.G. Car'kova // Promyshlennye ASU i kontrollery. – 2019. – № 4. – S. 30-39.

    [16] Solodov, A.A. Optimal'naya puassonovskaya kognitivnaya sistema s markovskoy model'yu obucheniya [Optimal Poisson cognitive system with a Markov learning model] / A.A. Solodov // Otkrytoe obrazovanie. – 2021. – T. 25, № 6. – S. 45-52. – DOI: 10.21686/1818-4243-2021-6-45-52.

    [17] Solodov, A.A. Bayesovskaya adaptaciya v puassonovskih kognitivnyh sistemah [Bayesian adaptation in Poisson cognitive systems] / A.A. Solodov // Otkrytoe obrazovanie. – 2019. – T. 23, № 4. – S. 23-31. – DOI: 10.21686/1818-4243-2019-4-23-31.

    [18] Kolmogorov, A.V. Puassonovskiy dvurukiy bandit: novyy podhod [Poisson's two-armed bandit: a new approach] / A.V. Kolmogorov // Problemy peredachi informacii. – 2022. – T. 58, № 2. – S. 66-91. – DOI: 10.31857/S0555292322020065.

    [19] Razrabotka logiko-matematicheskih modeley prinyatiya upravlencheskih resheniy v slozhnyh organizacionnyh sistemah special'nogo naznacheniya [Development of logical and mathematical models of managerial decision-making in complex organizational systems of special purpose] / V.I. Sumin, A.V. Mel'nikov, V.I. Anciferova, S.A. Sazonova // Modelirovanie sistem i processov. – 2023. – T. 16, №. 1. – S. 26-34. – DOI: 10.12737/2219-0767-2023-16-1-26-34.

    [20] Application of the information systems in decision-making at the different levels of an enterprise management / V.I. Sumin, D.G. Zybin, R.B. Golovkin [et al.] // Journal of Physics: Conference Series. – 2021. – Vol. 1902. – S. 012090. – DOI 10.1088/1742-6596/1902/1/012090.

    [21] Sumin, V.I. Razrabotka metodiki predproektnogo obsledovaniya sistem upravleniya uchrezhdeniya ugolovno-ispolnitel'noy sistemy [Development of a methodology for a pre-project survey of management systems of an institution of the penal enforcement system] / V.I. Sumin, S.V. Ivanov // Modelirovanie sistem i processov. – 2019. – T. 12, № 4. – S. 84-89. – DOI: 10.12737/2219-0767-2020-12-4-84-89/.

    [22] Danilov, A.I. Metodika chislennogo analiza effektivnosti podgotovki i primeneniya slozhnoy tehnicheskoy sistemy [Methodology of numerical analysis of the effectiveness of preparation and application of a complex technical system] / A.I. Danilov, A.M. Zubachev, A.A. Danilov // Izvestiya Tul'skogo gosudarstvennogo universiteta. Tehnicheskie nauki. – 2018. – №8. – S. 186-199.

    [23] Ob odnom algoritme poiska sedlovoy tochki dlya nepreryvnyh lineynyh igr primenitel'no k zadacham zaschity informacii [On one algorithm for finding a saddle point for continuous linear games in relation to information security problems] / A.Yu. Bykov, I.A. Krygin, M.V. Grishunin, I.A. Markova // Vestnik Moskovskogo gosudarstvennogo tehnicheskogo universiteta im. N.E. Baumana. Seriya Priborostroenie. – 2020. – № 4(133). – S. 58-74. – DOI: 10.18698/0236-3933-2020-4-58-74.

    [24] Nazin, A.V. Poisk sedlovoy tochki vypuklo-vognutoy stohasticheskoy igry adaptivnym metodom zerkal'nogo spuska [Search for the saddle point of a convex-concave stochastic game by the adaptive method of mirror descent] / A.V. Nazin // Trudy Kol'skogo nauchnogo centra RAN. – 2020. – T. 11, № 8(11). – S. 182-184. – DOI: 10.37614/2307-5252.2020.8.11.025.

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