Economic-mathematical Model Research Articles

Stabilization and Chaos Control of an Economic Model via a Time-Delayed Feedback Scheme

This paper addresses the problem of chaos control in an economic mathematical dynamical model. By regarding the control variables as the bifurcation parameters, the stability of equilibria and the existence of Hopf bifurcations of the relevance feedback system are investigated, and the criterion of controllability for the chaotic system is obtained based on a time-delayed feedback control technique. Furthermore, numerical simulations are provided to demonstrate the feasibility of our methods and results.

К методике обоснования границ между открытыми и подземными работами

Introduction. Currently, in the development of mineral deposits, the most widely used are open and underground methods. At the same time, open-pit mining is characterized by an extremely negative impact on the environmental situation, while at enterprises that develop deposits by underground methods, labor productivity is lower and, with some development systems, the extraction of minerals is much worse. The possibility of using open pit and underground works at one field makes it possible to use the advantages of each of the development methods, while reducing the negative factors of one of them at the expense of the other. The aim of the work is to assess the impact of technological solutions involving internal dumping on the establishment of a boundary between open pit and underground operations, taking into account the reduction of the technogenic impact on the environment. Methods for determining the boundaries of the open pit can be divided into 2 groups: the first includes methods for determining the boundaries of the open pit by the minimum total costs or the maximum total profit, the other includes methods using the boundary stripping ratio. In this work, when developing an economic-mathematical model, the methodology proposed by Professor A.I. Arsentiev, where profit is used as a criterion for the transition from open to underground work. As a result of the research, an economic-mathematical model was developed and tested to solve the problem of determining the boundary of the transition from open to underground work, based on obtaining additional profit by reducing environmental costs and taking into account the change in the order of dumping. Dependences have been obtained that reflect the change in the economically justified depth of the open pit on the degree of use of the mined-out space, as well as on the area of external dumps. The analysis of the obtained dependences shows that within the established limits and the given modeling parameters, the use of the worked-out space of the quarry allows to reduce the area of external dumps from 13 ha to 2 ha, while the boundary stripping ratio increases to 5.04, and the depth of the open pit increases from 105 m to 116 m. The results of the study can be used in the design of field development by open pit and combined methods.

Improving the efficiency of management decision-making: developing a simulation model of a cultivated mushroom farm

Industrial production of edible mushrooms is now regarded as an independent agricultural industry not dependent on the seasonality of work inherent in most agricultural operations. Since agricultural production is characterized by high consumption of resources, cultivation and harvesting of mushroom produce are carried out by means of specialized technical and technological equipment, allowing one to provide the necessary microclimate conditions. These issues can be solved by using intensive technological resource-saving processes, which provide a sufficient level of production profitability. In this regard, there is a need to develop an economic-mathematical model able to simulate the process of the enterprise as an example. The study aims to develop a simulation model of a mushroom farm to improve the effectiveness of management decisions. The study employs the AnyLogic simulation instrument to create a model and test its accuracy with the cultivation of Pleurotus ostreatus oyster mushrooms. The authors develop a model of a farm for growing cultivated mushrooms and describe the created model, the algorithm of its operation, and the created interface. This model gives an idea about the optimal conditions for the cultivation of mushrooms and can be used for decision-making in techno-management complexes.

SIMULATION OF THE INFLUENCE OF INVESTMENT AND INNOVATION ACTIVITIES ON ENSURING THE INTERNATIONAL COMPETITIVENESS OF COUNTRIES

The purpose of this work is to study the quality of the innovation-investment component of the international competitiveness of EU countries and Ukraine, to reveal the potential of innovation-investment activity in ensuring the effectiveness of the national economy, as well as to substantiate the priority vectors of leveling external shocks and promoting economic growth in Ukraine. The work evaluates the quality of the innovation and investment component of the international competitiveness of Ukraine and its close neighbors - the countries of the Visegrad Group (Poland, the Czech Republic, Hungary and Slovakia) using econometric analysis; a multifactor economic-mathematical model was built, which determines the strength of the connection between indicators of innovation and investment activity in Ukraine and the main macroeconomic indicator - GDP; the European practice of developing strategic programs to increase the competitiveness of the country's economy was studied; strategic innovation and investment initiatives of Ukraine are substantiated. In addition, the article made a significant theoretical and practical contribution to solving the outlined problems. The results of the study revealed the main problems of the innovation-investment component of Ukraine's international competitiveness, as well as highlighted the potential prospects for its improvement, taking into account advanced European practices.

Агрегована модель енергозабезпечення за структурою даних продуктового енергетичного балансу

An economic-mathematical model of the production type was developed, intended for forecasting the country's energy supply by calculating the balanced supply of carbon-containing fuels, electricity and heat from fossil fuel and renewable energy sources. The model was built on the basis of open data sources according to the specific structure of technological methods by L.V. Kantorovich, which, unlike the known ones, uses subsystems for the production of abstract products that correspond to the range of outputs and inputs of the product energy balance, and also uses procedures for their selective aggregation to build various forms of inter-product balance matrices. This allowed us to obtain a tool for forecasting and assessing energy balances that is resistant to the growing limitations of information support, which is distinguished by a new system of conditions for a production-type model for the expanded range of the International Energy Agency's product energy balance, as well as a set of technological methods proposed for the first time by L.V. Kantorovich, which together determined the structure of output, costs and product links of individual producers of the energy supply system within the framework of a mutually agreed multi-product balance. The proposed model provides opportunities for using statistical and technological approaches to determining output and cost coefficients in solving forecasting problems, applying inherent means of analyzing retrospective balances to identify unaccounted volumes of FER, as well as volumes of their consumption and transformation in the country's energy sector with significant changes in the structure of electricity and heat generation capacities. The forecasted volumes of supply of the main types of energy resources obtained in the calculations using the developed energy supply model allowed us to assert that, given the indicators of energy efficiency achieved in 2020, the country's energy supply system is able to meet the country's needs mainly through the development of domestic fuel bases. Keywords: energy supply, product energy balance, production type model.

Update of the operational production system and organizational structure as the basis of the innovative development of the construction enterprise

The article presents a formalized economic-mathematical model that makes it possible to estimate the effect of the joint introduction of information modeling in construction and an integrated project management system to solve the tasks of extracting from the overall effect of the enterprises' activity the share that arises as a result of the introduction of innovations.
 It was determined that the analysis of empirical data is a mandatory condition for the formation of proposals for improving the activities of economic entities, in general, and the development of direct measures within the limits of individual functional types of activity, in particular. In order to obtain up-to-date and verified information about the activities of the studied enterprises, the work pays attention to the analysis of trends in the development of domestic construction. An analysis of the destabilizing effect of factors on the economic security of these enterprises is presented using the approaches and indicators of the rating assessment of Doing Business business conditions. This approach allows detailing the general state of the business environment at the macro level and explaining the deep processes of the response of the enterprise management system to the challenges of modernity, which form a certain security environment at different levels of management of complex socio-economic systems.
 A model of flexible management of the enterprise has been developed to ensure its economic security, which is built on the basis of two-component neural network diagnostics, taking into account the needs of the main stakeholders and determining the internal and external factors influencing the enterprise's activities. The model allows management to determine the most relevant list of management decisions and take into account external and internal threats, which ensures an increase in the level of economic security of the enterprise due to sufficient flexibility of the management system and timely response to current threats.

Economic assessment of the influence of weather conditions on the dynamics of energy consumption of a mining and processing plant

Methods includes experimental studies of the spectral density of electrical active power consumed by the mining and processing plant in winter and summer, its analysis and economic evaluation of the dynamics of energy consumption and electricity costs, which are determined by the operation of the mining and processing plant enterprise. Results are an economic-mathematical model of the dependence between the dynamics of energy consumption and the costs of electricity consumed by the mining and processing plant and determined by the operation of the mining transport complex, crushing and beneficiation factory. Novelty consists in establishing the dependence of the value of the dynamic component of electrical energy, which is determined by the work of individual divisions of the mining and processing plant, on the rhythmicity of its work in different weather conditions. Practical value of the work consists in the development of a method of economic evaluation of the efficiency of each unit of the mining and processing plant, namely the mining transport complex, crushing and beneficiation factories, with the aim of reducing electricity costs by improving the dynamics of energy consumption.

Strategic management, scenario analysis and competitive advantage analysis: New opportunities for anti-money laundering system reform

The article identifies and mathematically substantiates vectors of reforming the financial monitoring system based on the synergistic approach in the cross-country context by developing scenarios by selecting internal and external factors that stimulate money laundering. The key external and internal factors of the money laundering process intensification are indicated. Competitive advantages of the anti-money laundering processes, the achievement of which is possible in terms of key external and internal factors for activation of money laundering process are formed. The relationship between the key internal and external factors of money laundering intensification and competitive advantages by building a binary characteristic matrix is formed. The synergy effect made by the mutual influence of simultaneously acting internal and external factors – a quantitative feature of the further strategy of the financial monitoring system reforming in terms of cross-country analysis is calculated. An economic-mathematical model for evaluating and interpreting strategy for improving the financial monitoring system in terms of cross-country context based on integer optimization is developed. In the article, there is calculation of the number of competitive advantages received by each observed country, without considering the possible synergy effect of mutual influence of simultaneously acting internal and external factors on each other. Moreover, there is quantitative assessment of the synergy effect made by the emergence of additional competitive advantages due to a certain combination of simultaneous influence made by external and internal factors of the money laundering intensification. The “ideal” situation of the possibility of gaining all possible competitive advantages in reforming the financial monitoring system in terms of cross-country context by overcoming internal and external factors stimulating the money laundering is studied. The results of the cross-country analysis form a basis for the further formalization of the limits for quantitative evaluation of the developed strategies through a uniform distribution.

Simulation of interest coordination of economic subjects in housing construction

In the present paper, the consequences of the introduction of project financing against the backdrop of crises in 2020 and 2022 are analyzed. The subject interactions in the course of housing construction under the conditions of project financing are considered. A multi-criteria economic-mathematical model for the interest coordination of economic subjects in housing construction has been proposed. The model permits to understand and evaluate the economic consequences of choosing the possible options from the standpoint of each of the economic subjectss. The numerical calculations of choosing two (in pairs), and all three (developer, bank and consumer) economic subjects were performed using the proposed multi-criteria model with the stated limitations. The MATLAB software was employed to solve optimization problems and plotting. The solutions acceptable to the subjects were chosen from a set of Pareto-optimal alternatives. Despite the fact that all subjects of housing construction are involved in the interaction, this interaction does not occur simultaneously, but in a complex subordinate manner: the bank took the dictating position in project financing, and the consumer pays for everything. The state should play a role of the subject, which should coordinate the interests of the developer, the bank and the population. The task of the state is to create such conditions in the housing construction market so that economic subjects are interested in coordination of their interests to find a compromise. This opens routes for further research.

Формы взаимодействия участников в цепях поставок: полная интеграция против автономного функционирования

The restoration of the production and economic potential of Russian enterprises in the conditions of an economic war necessitates the search for the most effective forms of organizing the activities of firms in supply chains, which make it possible to increase their degree of competitiveness in the markets. The urgency of this task has increased in the context of diplomatic isolation and the imposition of economic sanctions that have affected the collapse of the main technological and logistics chains. In these circumstances, the need to understand which industry structure will give the largest increment in production volumes and the lowest prices while maintaining the stability of supply chains is of particular importance. The purpose of the study is to determine the principles and optimal forms of organizing the activities of firms in supply chains from the standpoint of market efficiency and profitability of the participants themselves. The set goal predetermined the solution of the following tasks: a comparative analysis of two options for the interaction of chain participants was carried out – autonomous functioning and full vertical integration; the model of contractual relations of firms is identified, which allows them to receive maximum profit; the most attractive variant of the chain organization from the position of the consumer (output volumes and prices) was determined; an economic-mathematical model has been developed for calculating the optimal parameters of activity in the supply chain of an industrial enterprise for two opposite models of firms’ behavior. The methodological basis of the study is a synthesis of theoretical, methodological and applied research of foreign and domestic specialists in the field of supply chain management theory, as well as the theory of industry markets. The scientific novelty of the study is a methodical approach to considering the supply chain as a system oriented to the market function of demand, i.e. the activities of all participants in the chain are set up to produce and sell such a volume of goods for which demand is presented. The article proposes a formal model that allows one to analyze the incentives for vertical integration and evaluate the results of alternative strategies for the behavior of firms in the supply chain.

ECONOMIC-MATHEMATICAL MODEL OF FORMATION OF INNOVATION AND ENGINEERING INDUSTRIAL CLUSTER

The subject of the article is the use of industrial clusters as tools for innovative economic growth. The purpose of the article is to develop an economic-mathematical model of the formation of an industrial cluster, and to create an algorithm for cluster zoning of the economy. Tasks to be solved – analysis of the principles of innovative growth, development of a model of an innovation-engineering industrial cluster, formulation of a methodology for the formation of a regional innovation-engineering cluster, analysis and assessment of the features that arise in clusters, use of cluster analysis for systematization, classification and reduction of the number of features. Applied methods: system analysis, project approach, institutional theory, clustering methods, Bartlett’s sphericity criterion and Kaiser–Meyer–Olkin sampling adequacy criterion, multivariate regression analysis, Fisher’s F-test. The results obtained: it was determined that the best approach to unification of the main components of innovative development, namely state bodies, business and development institutes, is the creation of innovation and engineering clusters. The principles of creation and functioning of such clusters are described. It is shown that the basis of the cluster construction algorithm of regions is the integration of quantitative and qualitative methods of identification and clustering of the economy. This makes it possible, in contrast to existing approaches, not only to identify cluster elements, but also to model the levels of interaction between them. It is proposed to use the synergistic effect from the use of the newly formed structure as an assessment of the efficiency of the cluster. Conclusions: the use of regional innovation and engineering clusters allows for the formation of an effective strategy for the development of the region’s economy. The developed algorithm of cluster zoning integrates quantitative and qualitative methods of determining the clustering possibilities of the region’s economy. The complex interaction of economic and political factors leads to a synergistic effect and allows modeling cluster formation with the identification of the composition of participants and the level of interaction between them.

OPTIMIZATION OF LOGISTICS PROCESS MANAGEMENT IN TRADE

The article considers the theoretical and methodological and practical principles of logistics processes management. Current trends in logistics development are outlined. It is shown that the trends demonstrate active implementation in the management processes of the elements of Logistics 4.0. The expediency of using economic-mathematical methods and models to solve logistics tasks is reasoned. An overview of ecommerce processes, typical for today, both in the world and in Ukraine, which directly cause changes in logistics, is made. The problem of optimization of transport costs for delivery of goods from the warehouses of the online store "Hope" to customers, taking into account the non-stationarity (seasonality) factor is defined. The economic-mathematical model of the problem of logistics processes management has been built and adapted as follows: selection of two seasonally-leased warehouses from five reserve ones and optimization of transport costs for delivery of goods from warehouses of the online store to customers. This optimization model was implemented to solve the problem of optimizing logistics costs for the online store "Hope", taking into account seasonal demand, transport tariffs, warehouses capacity and forecasted sales volumes. Various ways to solve the problem of logistics process management, which allows us to show the additional benefits of using these methods and determine the effectiveness of the decision taken are considered as well. The solution for the choice of warehouses and the optimal plan for delivery of goods to customers in order to minimize transportation costs is obtained. It is shown that with the use of economic and mathematical modeling to solve the problem of seasonally adaptive transition for logistics process management, it is possible to make the best choice of two additional leased warehouses from the five reserve ones, to find the optimal delivery plan, to reduce the total length of delivery route and, consequently, the costs of transportation of goods, to avoid shortages of goods in warehouses, in a timely manner and with minimal costs to satisfy the interests of customers of online store "Hope" goods. The economic interpretation of the results of the models implementation is presented and recommendations for their use are provided to achieve minimization of transportation costs, maximum flexibility, speed, reliability of the supply chain, ie to make effective management decisions.

Economic assessment of dynamics of energy consumption by production units of the enterprise

Methods. The study of energy consumption dynamics is based on the methods of spectral analysis. The economic evaluation of the results of the implementation of energy saving measures was carried out using the method of economic analysis. The method of economic-mathematical modeling was applied when creating a cost model for the dynamic component of electricity consumed by the enterprise. Results. It was established that the spectral analysis of the active power consumed by the enterprise allows to estimate the saving of electricity and the economic efficiency of energy-saving measures by improving the dynamics of energy consumption. It is proposed to form a fund for the economic stimulation of energy saving due to the improvement of consumption dynamics and to distribute it among the main workshops of the enterprise by means of a frequency analysis of the dynamics of energy consumption by the production units of the enterprise. An economic-mathematical model of costs for the dynamic component of electricity consumed by the enterprise and its main technological divisions has been developed, which allows to calculate and distribute the fund for material stimulation of the dynamics of energy consumption between the main technological divisions of the enterprise. Spectral analysis of the active power consumed by the enterprise allows to assess not only the economic efficiency of energy saving measures, but also the losses in case of their non-fulfillment, which allows to impose fines on the personnel of the relevant units of the enterprise. Novelty. For the first time, an economic-mathematical method for diagnosing the effectiveness of energy-saving measures by individual units of the enterprise was developed based on spectral analysis and economic assessment of energy consumption dynamics. Practical value. The developed method of forming a fund of financial incentives for the company's personnel for the effective implementation of measures to improve the dynamics of energy consumption allows taking into account the contribution of the company's divisions to the overall saving of electricity.

MANAGEMENT OF THE FINANCIAL SECURITY OF THE ENTERPRISE IN MODERN CONDITIONS

The article examines the concept of financial support as a set of necessary resources and sources of their formation for the effective functioning of the enterprise. It is noted that significant difficulties in the formation and adoption of the current production plan arise with limited resources. The essence of the financial support structure is determined, the main principles on which the financial support mechanism is based and the importance of financial support both at the operational and strategic level of enterprise management are characterized. The analysis was carried out and directions for improvement of resource provision at the enterprise were considered. The resource limitations of an industrial enterprise during the formation of a plan include limitations on the provision of material, labor, financial and informational resources. The principle of calculating the need for the specified types of resources using the economic-mathematical model of the cumulative production technology of the industrial enterprise is proposed. It is substantiated that the synergistic effect of the corporate security system depends on such factors as the resource provision of the enterprise, the consistency of the direction of movement of the vectors of subsystems of economic, technological, informational, legal, financial, personnel, transactional, logistical and resource security with the goals of the general strategy of corporate security, construction features dynamic system of corporate security; influential changes in the micro- and macroeconomic environment, reliability of the general system of corporate security, stability and efficiency of the management system of the system of corporate security; characteristics of the corporate security system. It was concluded that the basis of the synergistic effect of the corporate security system is the optimal combination of individual elements of the system, the effectiveness of their interaction and quality. A model of the organizational and economic interaction of the processes of using structural components of financial support for enterprise activity is proposed, and an algorithm for the formation of resource support for enterprise activity in modern conditions is presented.

ECONOMIC MATHEMATICAL MODEL OF RISK MINIMIZATION IN THE SYSTEM OF RAILWAY SERVICES

In this article, on the basis of the scientific work carried out by our scientists in the organization of railway transport services, the classification of management decisions regarding the management of services in railway networks in relation to risk, an economic-mathematical model of risk minimization based on classification was developed, and a methodology for evaluating the effectiveness of risk minimization system management was recommended. done These recommendations can be used to categorize risks and minimize them in enterprises and organizations

Економіко-математичне моделювання оптимізації виробничих витрат у садівництві

Goal. To build an economic-mathematical model of optimizing the structure of production costs and to reveal the relationship between the investigated indicators and the factors that influence their value. Methods. Scientific abstractions — for the formation of theoretical generalizations and conclusions; the economic-mathematical method — to optimize the cost structure in horticulture; the method of system analysis and synthesis — to establish cause-and-effect relationships in the formation of production costs in horticulture. Results. To improve the management of expenses in the direction of their optimization, it is advisable to use the method of optimization modeling for various structures of apple plantations. The analysis of the simulation results indicates the possibility of reducing the cost of growing apples under the condition of rational distribution of costs. A comparison of the actual indicators of financing apple cultivation with those obtained in the modeling process shows the need for a reasonable approach to spending money on mineral and organic fertilizers, means of protection, and wages. It is these cost items that are the most important in shaping the yield of apples according to the correlation-regression analysis and the data obtained during the calculation of the economic-mathematical model of cost optimization. From the equation obtained as a result of conducting such an analysis, it follows that the listed factors should be placed in the following order according to the degree of importance: depreciation of agricultural machinery, other direct costs, costs of organic fertilizers and mineral fertilizers, fuel and lubricants, general production costs, costs of protective equipment, depreciation of perennial plantings, labor costs. Using the results of cost optimization modeling, it is quite possible not only to increase the yield of apples by 11.88–28.81% but also to reduce their cost price and to reduce total costs by 6.3–67.7%. Conclusions. Optimizing the cost structure using the methods of economic-mathematical modeling is one of the ways to effectively manage funds. The optimal cost structure justified for the horticulture industry makes it possible to reduce the cost price and increase the yield of apples.

A comparative analysis of the core quality of life indicators of the population of the Arctic regions of the Republic of Sakha (Yakutia)

Subject. This article analyzes the economic situation in the Republic of Sakha (Yakutia). Objectives. The article aims to classify the Arctic regions of the Republic of Sakha (Yakutia) according to the key indicators of the standard of living of the population. Methods. For the study, I used the methods of mathematical modeling in economics. Results. The article presents the results of the analysis of the basic parameters characterizing the standard of living of the population. It divides the Arctic regions of the Republic of Sakha (Yakutia) into three clusters depending on the value of socioeconomic indicators. The article also lists the objectives relevant to the Arctic regions of the Republic of Sakha (Yakutia). Relevance. The results of the study help to determine the main areas of development of hard-to-reach regions of Russia.

A Decade for the Mathematics: Bibliometric Analysis of Mathematical Modeling in Economics, Ecology, and Environment

Our study commemorates this event by presenting a retrospective of the publications related to the use of mathematical tools for the analysis of economic, ecological, and environmental phenomena. We analyzed 1257 scientific publications using bibliometric techniques to examine the most productive and influential authors and their contributions in the economic, ecological, and environmental fields. Co-authorship among the top authors and countries, co-occurrence of the keywords, bibliographic coupling of the documents and authors, and author co-citation were analyzed by applying network analysis techniques using VOSviewer software, identifying the intellectual structure of the research and the collaborative networks in the fields. The results show that mathematics has grown impressively in terms of publication and citation. The contributions come from all over the world, but the majority are from the People’s Republic of China and Spain. The results also show themes and trends in the economic, environmental, and ecological fields and a predominant use of mathematical tools in optimization processes in order to rigorously substantiate the decisions of investors and policymakers. Thus, our study offers support for any researcher to understand the current state of the art and develop a comprehensive understanding of journal publications.

Methodologically improved model of international competitiveness

It is known that the study of economic processes includes micro, macro, and an international level analysis of certain individual economic entities, that is, firms and industries (branches). While the process of studying and making decisions on the international economic behavior of specific individual subjects in order to maximize the satisfaction of unlimited needs in the context of limited resources is a research object and subject of the field of international economy. The modern economic theories researched in the scientific article require wider use of mathematical instruments in the study of quantitative aspects of economic processes. One of the more widely used models in practice is the economic-mathematical model. An economic-mathematical model is a formalized classification of economic processes or phenomena, the composition of which is formed depending on the objective or subjective characteristics arising from the research purpose. Economic-mathematical models expressed quantitative aspects of economic processes through functions, equations, or inequalities. Modern economic theories, mathematical models, and functions (equalities or inequalities) used in the implementation of micro, macro, or international economic analysis of gross income increase in the article indicate the scientific basis, expediency, and relevance of the chosen topic.

КЕЙС-МЕТОД В ОБУЧЕНИИ БАКАЛАВРОВ НАПРАВЛЕНИЯ «ПЕДАГОГИЧЕСКОЕ ОБРАЗОВАНИЕ», ПРОФИЛЯ «МАТЕМАТИКА И ИНФОРМАТИКА» (НА ОСНОВЕ ИСПОЛЬЗОВАНИЯ ЦИФРОВОГО РЕСУРСА «МАТЕМАТИЧЕСКИЕ МОДЕЛИ В ЭКОНОМИКЕ»)

The relevance of the study is due to the lack of digital resources in various disciplines, with the help of which it is possible to form the research skills of future bachelors and the lack of methodologies for implementing the case method to form these skills using digital resources. The article proposes a methodology for the formation of research skills of bachelors in the area of «Pedagogical education, profile Mathematics and Computer Science» based on the case method using the developed digital resource «Mathematical Models in Economics». The general approach to designing cases for conducting a laboratory workshop on the discipline «Аpplication software» is considered. A system of cases for the study of economic models has been developed, options for using the software package in organizing individual, pair and group research activities, and evaluation criteria have been proposed. When organizing pair and group work, networking is used: cloud services and videoconferencing. The proposed methodology and the developed didactic support of the educational process make it possible to more effectively, in comparison with traditional teaching, form the research skills of students.