SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION
Introduction. The article considers mathematical modeling of the enterprise profit at technogenic pollution. In Ukraine, in modern conditions, the functioning of enterprises is based on maximizing profits, which in most cases leads to anthropogenic pollution of the environment. At the same time, env...
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| Format: | Article |
| Language: | English |
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Черкаський державний технологічний університет
2020-06-01
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| Series: | Збірник наукових праць Черкаського державного технологічного університету: Серія: Економічні науки |
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| Online Access: | http://ven.chdtu.edu.ua/article/view/206256 |
| _version_ | 1818821842985549824 |
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| author | Tetyana V. Kvitka |
| author_facet | Tetyana V. Kvitka |
| author_sort | Tetyana V. Kvitka |
| collection | DOAJ |
| description | Introduction. The article considers mathematical modeling of the enterprise profit at technogenic pollution. In Ukraine, in modern conditions, the functioning of enterprises is based on maximizing profits, which in most cases leads to anthropogenic pollution of the environment. At the same time, environmental requirements impose restrictions on these pollution, since they negatively affect both the nature and the state of health of people living in nearby areas to such enterprises.
Formulation of the problem. Of course, it is impossible to completely avoid technogenic pollution in modern conditions, but questions arise regarding the boundary of the limitations of such pollution.
The purpose of the article is to simulate the impact of man-made pollution on the profits of enterprises whose operating systems are the sources of this pollution.
The presentation of the material of the article. The peculiarity of the developed approach consists in the application of differential equations at qualitative level. This makes it possible to use "soft" mathematical models. On the one hand, it is necessary to take into account environmental restrictions, but at the same time, the existence of an optimal value of technogenic pollution is possible, at which the profit of the enterprise will be maximum. If such an optimal value of technogenic pollution turns out to be less than the ecologically maximum value, then it makes sense to adhere to this optimal value. Mathematical modeling of profit as a difference in income and costs for reducing technogenic pollution has allowed us to determine the conditions for the existence of an optimal value of technogenic pollution.
Results and discussion. The construction of a «soft» mathematical model of income has made it possible to determine the characteristics of the properties of income under technogenic pollution, which are structurally stable. In turn, the application of the methods of the theory of similarity and analysis of dimensions has made it possible to present mathematical model of the enterprise's profit in a dimensionless form, replaced individual parameters with complexes recorded in the form of works, and reduced the amount of necessary calculations during research. The management of the enterprises can carry out simulation modeling by means of the received universal models. For example, for the enterprises of mining and metallurgical complex, the dependence of profit is forecasted, taking into account the costs of reducing man-made pollution. This allows in pace with the process (in real-time) to conduct research and find optimal trajectories of production and profit.
Conclusions. It is important to emphasize that mathematical model of profit built in the conditions of technogenic pollution allows us to digitally substantiate and give recommendations on the optimal value of technogenic pollution of the worker at which the maximum profit will be achieved by appropriate calculations on a computer. The proposed model allows managers to simulate different operating systems of production with pollution minimization and rational profit. |
| first_indexed | 2024-12-18T23:14:37Z |
| format | Article |
| id | doaj.art-5aca400b1a9f4ee4886315099a8f3b97 |
| institution | Directory Open Access Journal |
| issn | 2306-4420 |
| language | English |
| last_indexed | 2024-12-18T23:14:37Z |
| publishDate | 2020-06-01 |
| publisher | Черкаський державний технологічний університет |
| record_format | Article |
| series | Збірник наукових праць Черкаського державного технологічного університету: Серія: Економічні науки |
| spelling | doaj.art-5aca400b1a9f4ee4886315099a8f3b972022-12-21T20:48:15ZengЧеркаський державний технологічний університетЗбірник наукових праць Черкаського державного технологічного університету: Серія: Економічні науки2306-44202020-06-01057354410.24025/2306-4420.0.57.2020.206256206256SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTIONTetyana V. Kvitka0Донецький національний університет економіки і торгівлі імені Михайла Туган-БарановськогоIntroduction. The article considers mathematical modeling of the enterprise profit at technogenic pollution. In Ukraine, in modern conditions, the functioning of enterprises is based on maximizing profits, which in most cases leads to anthropogenic pollution of the environment. At the same time, environmental requirements impose restrictions on these pollution, since they negatively affect both the nature and the state of health of people living in nearby areas to such enterprises. Formulation of the problem. Of course, it is impossible to completely avoid technogenic pollution in modern conditions, but questions arise regarding the boundary of the limitations of such pollution. The purpose of the article is to simulate the impact of man-made pollution on the profits of enterprises whose operating systems are the sources of this pollution. The presentation of the material of the article. The peculiarity of the developed approach consists in the application of differential equations at qualitative level. This makes it possible to use "soft" mathematical models. On the one hand, it is necessary to take into account environmental restrictions, but at the same time, the existence of an optimal value of technogenic pollution is possible, at which the profit of the enterprise will be maximum. If such an optimal value of technogenic pollution turns out to be less than the ecologically maximum value, then it makes sense to adhere to this optimal value. Mathematical modeling of profit as a difference in income and costs for reducing technogenic pollution has allowed us to determine the conditions for the existence of an optimal value of technogenic pollution. Results and discussion. The construction of a «soft» mathematical model of income has made it possible to determine the characteristics of the properties of income under technogenic pollution, which are structurally stable. In turn, the application of the methods of the theory of similarity and analysis of dimensions has made it possible to present mathematical model of the enterprise's profit in a dimensionless form, replaced individual parameters with complexes recorded in the form of works, and reduced the amount of necessary calculations during research. The management of the enterprises can carry out simulation modeling by means of the received universal models. For example, for the enterprises of mining and metallurgical complex, the dependence of profit is forecasted, taking into account the costs of reducing man-made pollution. This allows in pace with the process (in real-time) to conduct research and find optimal trajectories of production and profit. Conclusions. It is important to emphasize that mathematical model of profit built in the conditions of technogenic pollution allows us to digitally substantiate and give recommendations on the optimal value of technogenic pollution of the worker at which the maximum profit will be achieved by appropriate calculations on a computer. The proposed model allows managers to simulate different operating systems of production with pollution minimization and rational profit.http://ven.chdtu.edu.ua/article/view/206256прибутокдохідвитратитехногенна забрудненість«м’яка» модельструктурна стійкістьоптимальність |
| spellingShingle | Tetyana V. Kvitka SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION Збірник наукових праць Черкаського державного технологічного університету: Серія: Економічні науки прибуток дохід витрати техногенна забрудненість «м’яка» модель структурна стійкість оптимальність |
| title | SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION |
| title_full | SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION |
| title_fullStr | SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION |
| title_full_unstemmed | SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION |
| title_short | SIMULATION OF PROFIT IN THE CONDITIONS OF TECHNOGENIC POLLUTION |
| title_sort | simulation of profit in the conditions of technogenic pollution |
| topic | прибуток дохід витрати техногенна забрудненість «м’яка» модель структурна стійкість оптимальність |
| url | http://ven.chdtu.edu.ua/article/view/206256 |
| work_keys_str_mv | AT tetyanavkvitka simulationofprofitintheconditionsoftechnogenicpollution |