The purpose of the article is to model the activities of an industrial enterprise as an independent economic unit in order to increase the profit of the enterprise in terms of economic efficiency.Method. In the course of the research the methodology of economic-mathematical modeling was applied. The enterprise is considered as a complex system — a sublimated enterprise, an economic object. The use of simulation methods on specific statistical material of the industrial enterprise «PivdGOK» is given. The application of the methods of digital economy allowed to obtain the relevant indicators of the enterprise and to obtain appropriate visual and graphical representations of the results.Results. The economic and mathematical model of the industrial enterprise of PJSC «PivdGOK» is constructed, it allowed to generalize results of activity of the industrial enterprise. Analytical relations concerning the activity of an industrial enterprise are obtained, namely a systematic study of the relationship between costs, volume of activity and profit of the enterprise.Scientific novelty. For the first time the economic-mathematical model of activity of the industrial enterprise in the sense of definition of its effective functioning as economic unit is constructed. Obtained in the implicit form of the dependence of profit at a given economic efficiency allowed us to investigate this relationship in order to build a simulation model.Practical significance. The use of Mathcad software allowed to building a simulation model of the industrial enterprise. An analytical expression of the connection between economic efficiency and profit is obtained, which allows to carry out a corresponding analysis of the activity of an industrial enterprise. It is shown under what conditions it is possible to achieve the greatest profit at a given economic efficiency. The use of digital modeling allowed to numerically obtain the optimal values of profit and graphically display the results. Graphical representation of the obtained results allows for visual analysis.
Purpose. To build economic and mathematical model of impacts of investment from internal sources on the profit of an industrial enterprise. Methodology. An economic and mathematical model of enterprise operations is built to enable development of methods for analyzing the impact of the internal investment amount on the profit of an industrial enterprise through considering specific features of its operation. The research involves methodological principles of economic cybernetics, namely the representation of the enterprise as a multipolar object with an unknown structure. Application of the systemic approach enables comprehensive investigation of the process of the amount of internal investment impacting profits of this enterprise. The use of structural synthesis underlies determination of the type of economic and mathematical model without considering its parameters. Findings. Mathematical modeling of operation of an industrial enterprise as a complex object enables numerical determination of the impact of the internal investment amount on the profit of an industrial enterprise. This approach makes it possible to use regression models to obtain an analytical dependence of the enterprise profit on the size of its internal investment. Theoretical research results in the determined sequence of building an economic and mathematical model of internal investment amount impacts on profits. It is proved expedient to divide the process of building a model of an industrial enterprise operation into two stages: structural synthesis and identification of model parameters. Originality. For the first time, an economic and mathematical model of operation of an industrial enterprise in the form of a black box has been used to analyze the impact of internal investment of an industrial enterprise on its profits. Practical value. Analysis of results of economic and mathematical modeling of the PJSC PivdHZK operation proves expediency of estimating the statistical dependence of the profit on the amount of internal investment. It is recommended to introduce the developed system-logical scheme in the investment practice of enterprises.
Purpose. Improvement of regression economic-mathematical models taking into account the influence of residual error as a random variable. Methodology. Methods of economic-mathematical modeling, regression analysis are used. The real conditional law of distribution of residual error as a complete characteristic of a random variable is applied. Findings. A scientific and practical approach to economic and mathematical modeling based on the study on residual error, to improve the construction of regression equations. Originality. For the first time, the application of residual error analysis as a random variable has been proposed in order to construct its conditional differential distribution function, which allows improving the quality of economic-mathematical modeling in the form of regression equations. The use of the proposed method of taking into account the residual error allows eliminating the negative impact of the violation of the conditions of the properties of the residual error in the implementation of economic and mathematical modeling using regression equations. Practical value. The analysis of the obtained results of economic-mathematical modeling of economic activity of Inhulets Mining and Processing Plant on significant statistical material with the use of the developed algorithm of residual error research confirmed the effectiveness of the proposed approach. It is recommended to include the developed algorithm taking into account the properties of the residual error in the practice of managing the financial activities of mining enterprises.
purpose. To determine specific aspects of the influence of components of ore mining enterprises' production potential (evi dence from the PJSC "Kryvyi Rih Iron Ore Works") on financial efficiency of their activities and to establish a successful manage ment strategy under local and global competitive conditions considering impacts of technological trends. Methodology. Modeling and comparative analysis of econometric models of production potential development with and with out considering scientific and technological progress factors, applying best practices of forecasting an enterprise's financial results. findings. Additive and multiplicative models of influence of key components of production potential on the enterprise's finan cial activity results in Kryvyi Rih region are developed, and efficiency of these models is analyzed. Special attention is paid to sci entific and technological progress impacts on efficiency of the enterprise's activities, and specificity of the impact is considered when developing the program of strategic development of the enterprise. originality. The econometric modeling apparatus is applied for the first time to study impacts of production potential factors on efficiency of financial activities of a Kryvyi Rih region enterprise considering scientific and technological progress factors. The results are subject to detailed economicmathematical analysis and the built models are used for forecasting. practical value. The results obtained during the study are of practical value for managing large iron ore enterprises and can be used by them when developing strategic plans of managing their financial and operational activities.
Goal. Study of the impact of investment on net income through the use of multifactor regression models of enterprise of Zaporizhia.Method. Based on econometric analysis, a methodology has been developed that allows to analyze the impact of the size of investment deposits on the net income of the enterprise, which is based on the use of multifactor regression models of economic activity of enterprises.Results. The versatility of information on the economic activity of enterprise in Zaporizhia indicated the difficulty of analyzing the results. At the same time, the transition to a digital economy based on modern IT technologies has made it possible to re-use statistical material on economic indicators of enterprises, synthesizing economic and mathematical models of enterprises as complex objects by deeper elaboration of statistical material with justification of the results. This approach made it possible to use multifactor regression models to obtain the dependence of net income on the value of investment deposits at specific enterprise in Zaporizhia.Scientific novelty. For the first time, multifactor regression models of economic activity of enterprises are used, taking into account multicollinearity and nonlinearity in the value of investment contributions for economic analysis of the impact of investment on net income by using the coefficient of elasticity.Practical significance. The analysis of the results of economic and mathematical modeling of Zaporizhia enterprise, which is based on statistical material using the algorithm of studying the dependence of net income on the value of investment contribution, showed the presence of critical values of investment deposits that qualitatively change the impact on net income. It is recommended to include the developed algorithm in the practice of appropriate calculations of the effectiveness of economic activity of enterprises.
Abstract. The purpose of the article is to study and analyze the competitive status of industrial enterprises (on the example of enterprises in the Kryvyi Rih region). Determining the long-term forecast of competitiveness on the basis of extrapolation of performance indicators of an industrial enterprise with the required accuracy. A methodological approach to long-term forecasting of competitiveness on the basis of extrapolation and the use of identification of discrete time series, which allowed to determine the predictive values of factors influencing the competitive status of the enterprise to make effective strategic management decisions. Modern methods of making effective strategic decisions are largely based on the use of forecasting methods, using appropriate statistical material. At the same time, such an approach requires the fulfillment of conditions, the neglect of which leads to the distortion of the obtained conclusions. In particular, this applies to the requirements relating to the identification of discrete time series. For the first time, the application of discrete time series identification is proposed, which is the basis for determining the forecast indicators of enterprise competitiveness on the basis of extrapolation. Analytical dependences on the competitive position of the industrial enterprise of the Kryvyi Rih region and the corresponding factors of influence are constructed. The main components of the impact on competitiveness are analyzed: sales volume; net profit; market share in the product market; intensity of competition in the industry; the ratio of market share of the enterprise being analyzed to the market leader. The results of the study are used in the practice of managers of relevant enterprises in making effective decisions in the system of strategic management. The use of identification of discrete time series allowed to conduct an appropriate assessment of the competitive status of the enterprise and the relevant factors of influence. It is offered to consider the competitive status, to an information and analytical component of competitiveness of the industrial enterprise. Keywords: enterprise, competitive status, forecast, identification, time series, extrapolation. JEL Classification C19, D29 Formulas: 6; fig.: 4; tabl.: 2; bibl.: 31.
Abstract. The article aims to investigate special aspects of investment risks and determine appropriate methods of assessment in the process of economic activity of enterprises. There has been formed a scientific and practical approach to economic and mathematical modeling based on minimizing risk of the investment portfolio aimed at effective managerial decision-making. Modern methods of economic management are largely based on application of economic and mathematical methods, namely modeling. The investment process is associated with risks. Instability in development of modern economy results in mistakes in making decisions on enterprise management. This is primarily due to distribution of financial resources of enterprises. As a result, this leads to financial risk in distribution of finances. Scientific developments determine topicality and need for further research into specifics of investing for enterprises with appropriate risk assessment. The article presents statement of the problem and its consistent solutionin the form of implementation of the appropriate algorithm to adjust its value. There is suggested and solved the problem of forming a financial portfolio on the basis of minimization of financial risk and corresponding losses. This enables effective distribution of financial resources of an enterprise. To maintain a stable portfolio structure, it is advisable to minimized is persion at restrictions imposed on the amount of investment and the profitability rate. The analysis of the obtained results of economic and mathematical modeling on the basis of static data on the activity of the industrial enterprise «Zaporizhstal» confirmed effectiveness of the suggested approach, this enabling scaling the portfolio value down. It is proved that profit ability of the portfolio can not exceed profitability of the most profitable security (share) included in the portfolio; it is always necessary to choose between profitability increase and risk reduction. Keywords: risk, investments, portfolio, model, enterprise, profitability JEL Classification C19, D29 Formulas: 25; fig.: 1; tabl.: 2; bibl.: 17.
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