A Novel View on Dental Service Management Optimization Using Markov Processes
To develop a mathematical model for managing dental services as a Markov random process based on the state graph of the process of providing dental care to the population. Markov chains, limiting probabilities of states and equations of A.N. Kolmogorov, and a graph of possible states of the dental c...
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| Format: | Article |
| Language: | English |
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Ital Publication
2024-09-01
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| Series: | Journal of Human, Earth, and Future |
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| Online Access: | https://hefjournal.org/index.php/HEF/article/view/361 |
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| author | Evgeniy V. Kostyrin Sergey N. Perekhodov Grigoriy G. Bagdasaryan Sergey A. Arutyunov |
| author_facet | Evgeniy V. Kostyrin Sergey N. Perekhodov Grigoriy G. Bagdasaryan Sergey A. Arutyunov |
| author_sort | Evgeniy V. Kostyrin |
| collection | DOAJ |
| description | To develop a mathematical model for managing dental services as a Markov random process based on the state graph of the process of providing dental care to the population. Markov chains, limiting probabilities of states and equations of A.N. Kolmogorov, and a graph of possible states of the dental care provision process, enabling to mathematically describe and optimize the process of managing dental services using a Markov random process in Moscow. With a full return of patients for correction of defects in the same dental medical organization where the poor-quality service was provided and a maximum warranty period of 5 years, the average financial result (gross profit) of the considered dental medical organization and the relative average increase in the financial result are maximum and equal to Rub 5,018,18 and 64.42%, respectively. It is shown that with a slight increase in the warranty period from one to three years, the financial result (gross profit) grows faster than with a warranty period of 3 to 5 years. To achieve a relative average increase in financial results by a factor of 1.5, the warranty period for dental services provided should be 3.13 years.
Doi: 10.28991/HEF-2024-05-03-05
Full Text: PDF |
| format | Article |
| id | doaj-art-e8303cca61384f7785ab22fc0072cec4 |
| institution | OA Journals |
| issn | 2785-2997 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Ital Publication |
| record_format | Article |
| series | Journal of Human, Earth, and Future |
| spelling | doaj-art-e8303cca61384f7785ab22fc0072cec42025-08-20T02:13:11ZengItal PublicationJournal of Human, Earth, and Future2785-29972024-09-015336638610.28991/HEF-2024-05-03-05150A Novel View on Dental Service Management Optimization Using Markov ProcessesEvgeniy V. Kostyrin0Sergey N. Perekhodov1Grigoriy G. Bagdasaryan2Sergey A. Arutyunov3Bauman Moscow State Technical University, Moscow,Federal State Budgetary Educational Institution of Higher Education "Russian University of Medicine" of the Ministry of Health of the Russian Federation (FSBEI HE "ROSUNIMED" MOH of Russia), Moscow,Bauman Moscow State Technical University, Moscow,Federal State Budgetary Educational Institution of Higher Education "Russian University of Medicine" of the Ministry of Health of the Russian Federation (FSBEI HE "ROSUNIMED" MOH of Russia), Moscow,To develop a mathematical model for managing dental services as a Markov random process based on the state graph of the process of providing dental care to the population. Markov chains, limiting probabilities of states and equations of A.N. Kolmogorov, and a graph of possible states of the dental care provision process, enabling to mathematically describe and optimize the process of managing dental services using a Markov random process in Moscow. With a full return of patients for correction of defects in the same dental medical organization where the poor-quality service was provided and a maximum warranty period of 5 years, the average financial result (gross profit) of the considered dental medical organization and the relative average increase in the financial result are maximum and equal to Rub 5,018,18 and 64.42%, respectively. It is shown that with a slight increase in the warranty period from one to three years, the financial result (gross profit) grows faster than with a warranty period of 3 to 5 years. To achieve a relative average increase in financial results by a factor of 1.5, the warranty period for dental services provided should be 3.13 years. Doi: 10.28991/HEF-2024-05-03-05 Full Text: PDFhttps://hefjournal.org/index.php/HEF/article/view/361mathematical modelmarkov chainskolmogorov equationslimiting probabilities. |
| spellingShingle | Evgeniy V. Kostyrin Sergey N. Perekhodov Grigoriy G. Bagdasaryan Sergey A. Arutyunov A Novel View on Dental Service Management Optimization Using Markov Processes Journal of Human, Earth, and Future mathematical model markov chains kolmogorov equations limiting probabilities. |
| title | A Novel View on Dental Service Management Optimization Using Markov Processes |
| title_full | A Novel View on Dental Service Management Optimization Using Markov Processes |
| title_fullStr | A Novel View on Dental Service Management Optimization Using Markov Processes |
| title_full_unstemmed | A Novel View on Dental Service Management Optimization Using Markov Processes |
| title_short | A Novel View on Dental Service Management Optimization Using Markov Processes |
| title_sort | novel view on dental service management optimization using markov processes |
| topic | mathematical model markov chains kolmogorov equations limiting probabilities. |
| url | https://hefjournal.org/index.php/HEF/article/view/361 |
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