A Novel View on Dental Service Management Optimization Using Markov Processes

Evgeniy V. Kostyrin; Sergey N. Perekhodov; Grigoriy G. Bagdasaryan; Sergey A. Arutyunov

doi:10.28991/HEF-2024-05-03-05

Authors

Evgeniy V. Kostyrin
evgeniy.kostyrin@yandex.ru
Bauman Moscow State Technical University, Moscow,, Russian Federation
Sergey N. Perekhodov 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,, Russian Federation
Grigoriy G. Bagdasaryan Bauman Moscow State Technical University, Moscow,, Russian Federation
Sergey A. Arutyunov 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,, Russian Federation

Vol. 5 No. 3 (2024): September

Research Articles

Downloads

PDF

Abstract
How to Cite
Metrics
References
License

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

Kostyrin, E. V., Perekhodov, S. N., Bagdasaryan, G. G., & Arutyunov, S. A. (2024). A Novel View on Dental Service Management Optimization Using Markov Processes. Journal of Human, Earth, and Future, 5(3), 366–386. https://doi.org/10.28991/HEF-2024-05-03-05

Download Citation

Sh, K. N., Putko, B. A., Trishin, I. M., & Fridman, M. N. (2002). Operations research in Economics: textbook for universities. YuNITI, Moscow, Russia. (In Russian).

Yang, X., & Zhu, C. (2024). Industrial Expert Systems Review: A Comprehensive Analysis of Typical Applications. IEEE Access, 12, 88558-88584. doi:10.1109/ACCESS.2024.3419047.

Ma, S., Flanigan, K. A., & Bergés, M. (2024). State-of-the-art review and synthesis: A requirement-based roadmap for standardized predictive maintenance automation using digital twin technologies. Advanced Engineering Informatics, 62, 102800. doi:10.1016/j.aei.2024.102800.

Kovalev, I. A. (2023). on the Perturbation Bounds and Their Application for Some Queueing Models. Systems and Means of Informatics, 33(1), 90–104. doi:10.14357/08696527230109.

Leontev, A. S., & Timoshkin, M. S. (2023). Mathematical models for evaluating reliability indicators to study the probabilistic and temporal characteristics of multi-machine complexes with regard to failures. International Research Journal, 1(127), 1–13.

Adamczak, M., Kolinski, A., Trojanowska, J., & Husár, J. (2023). Digitalization trend and its influence on the development of the operational process in production companies. Applied Sciences, 13(3), 1393. doi:10.3390/app13031393.

Abakarov, T. A. (2012). Improving the Organization and Analysis of Dental Care to the Population in Medical and Preventive Institutions with Various Forms of Ownership. Ph.D. Thesis, Dagestan State Medical University, Makhachkala, Russia.

Alimsky, A. V. (2000). Features of the spread of periodontal diseases among the elderly and the elderly. Dentistry for everyone, (2), 46-49.

Dakhkilgov, M. U. (2001). Epidemiological Study of the Prevalence and Intensity of Dental and Periodontal Diseases of the Population of the Republic of Ingushetia, Determination of the Need for Dental Care, Ph.D. Thesis, Dagestan State Medical University, Makhachkala, Russia.

Kurbanov, O. R. (2009). Functioning and Mechanisms of Development of the Regional Market of Dental Services. PhD Thesis, Dagestan State Medical University, Makhachkala, Russia.

Kurbanov, Z. O. (2013). Epidemiological Aspects of the Main Dental Diseases in the Adult Population of the Republic of Dagestan, Ph.D. Thesis, Dagestan State Medical University, Makhachkala, Russia.

Kuchiev, G. G. (2014). Dental Morbidity and the Need of the Adult Urban Population of the Republic of Dagestan for Orthopedic Dental Care, Ph.D. Thesis, Dagestan State Medical University, Makhachkala, Russia.

Kuznetsova, I. V. (2002). Dental Morbidity of the Population of the Republic of Dagestan and the Development of a Program for the Prevention of Dental Caries and Periodontal Diseases in Children, Ph.D. Thesis, Dagestan State Medical University, Makhachkala, Russia.

Rashkovsky, E. V. (2008). The Study of the Need for Orthopedic Dental Care for Elderly and Senile People, as well as Long-Livers and the Features of its Provision in Geriatric Hospitals, PhD Thesis, Dagestan State Medical University, Makhachkala, Russia.

Ghezzi, E. M., & Ship, J. A. (2000). Systemic diseases and their treatments in the elderly: impact on oral health. Journal of public health dentistry, 60(4), 289-296. doi:10.1111/j.1752-7325.2000.tb03337.x.

Federal State Statistics Service, Moscow, Russia. Available online: https://eng.rosstat.gov.ru/ (accessed on May 2024)

United Nations. (2019). World Population Prospects 2019. United Nations, New York, United States. Available online: https://population.un.org/wpp/Publications/Files/WPP2019_Highlights.pdf (accessed May 2024).

Iordanishvili, A. K., Volodin, A. I., Muzykin, M. I., Lapina, N. V., & Samsonov, V. V. (2017). Age and Gender Features of Tooth Loss Across the Population of Krasnodar Krai. Kubanskij Nauchnyj Medicinskij Vestnik, 5(5), 31–36. doi:10.25207/1608-6228-2017-24-5-31-36.

Srinivasan, M., Kamnoedboon, P., McKenna, G., Angst, L., Schimmel, M., Özcan, M., & Müller, F. (2021). CAD-CAM removable complete dentures: A systematic review and meta-analysis of trueness of fit, biocompatibility, mechanical properties, surface characteristics, color stability, time-cost analysis, clinical and patient-reported outcomes. Journal of Dentistry, 113, 103777. doi:10.1016/j.jdent.2021.103777.

Frolova, E. V., Turusheva, A. V., Trezubov, V. N., Rozov, R. A., Kabanov, M. Y., Gvetadze, R. S., & Arutyunov, S. D. (2023). Healthy aging and oral health. Russian Family Doctor, 27(1), 5–14. doi:10.17816/RFD312945.

Darmadi, D., Gardanova, Z. R., Mikhailova, M. V., Al-Qaim, Z. H., Kostyrin, E. V., Kosov, M. E., & Vasiljeva, M. V. (2023). Enhancing Global Health System Resilience and Sustainability Post-COVID-19: A Grounded Theory Approach. Emerging Science Journal, 7(6), 2022–2049. doi:10.28991/ESJ-2023-07-06-011.

Arutunov, S. D., Mayev, I. V, Romanenko, N. V, & Surmayev, E. V. (2005). Features of a condition of periodontal tissues at the patients with a peptic ulcer of a duodenal intestine, associated with Helicobacter Pylori. Parodontologiya, 3, 30–33.

Carlsson, G. E., & Omar, R. (2010). The future of complete dentures in oral rehabilitation. A critical review. Journal of Oral Rehabilitation, 37(2), 143–156. doi:10.1111/j.1365-2842.2009.02039.x.

Aputiunov, S. D., Ibragimov, T. I., Tsarev, V. N., Lebedenko, I. I., Savkina, N. I., Trefilov, A. G., Arutiunov, A. S., & Klimashin, I. I. (2002). Microbiological validation of the choice of basic plastic for removable dentures. Stomatologiya, 81(3), 4–8.

Tsarev, V. N., Ippolitov, E. V., Trefilov, A. G., Arutiunov, S. D., & Pivovarov, A. A. (2014). Features of adhesion of anaerobic periodontopathogenic bacteria and Candida albicans fungi to experimental samples of basis dental plastic depending on surface roughness and polishing method. Journal of Microbiology, Epidemiology, and Immunobiology, 6(6), 21–27.

Muslov, S. A., Ruzuddinov, N. S., Arutyunov, S. D., Chizhmakov, E. A., Moiseev, S. I., Maslak, A. A., Pivovarov, A. A., & Platonova, M. S. (2022). Quality of life of patients with complete loss of teeth and the psychometric properties of the OHIP-20 DG questionnaire. Part 3. Investigation of latent variables. Russian Journal of Dentistry, 25(6), 483–493. doi:10.17816/1728-2802-2021-25-6-483-493.

Shurygin, K. N., Matveev, R. S., & Khanbikov, B. N. (2023). Problems of Adaptation To Removable Prostheses in Patients of Different Age Groups. Acta Medica Eurasica, 2(2), 53–59. doi:10.47026/2413-4864-2023-2-53-59.

Taylor, M., Masood, M., & Mnatzaganian, G. (2021). Longevity of complete dentures: A systematic review and meta-analysis. Journal of Prosthetic Dentistry, 125(4), 611–619. doi:10.1016/j.prosdent.2020.02.019.

Vozza, I., Manzon, L., Passarelli, P. C., Pranno, N., Poli, O., & Grippaudo, C. (2021). The effects of wearing a removable-partial-denture on the bite forces: A cross-sectional study. International Journal of Environmental Research and Public Health, 18(21), 11401. doi:10.3390/ijerph182111401.

Peres, M. A., Macpherson, L. M. D., Weyant, R. J., Daly, B., Venturelli, R., Mathur, M. R., Listl, S., Celeste, R. K., Guarnizo-Herreño, C. C., Kearns, C., Benzian, H., Allison, P., & Watt, R. G. (2019). Oral diseases: a global public health challenge. The Lancet, 394(10194), 249–260. doi:10.1016/S0140-6736(19)31146-8.

Vasiljeva, M. V., Semin, A. N., Ponkratov, V. V., Kuznetsov, N. V., Kostyrin, E. V., Semenova, N. N., Ivleva, M. I., Zekiy, A. O., Ruban-Lazareva, N. V., Elyakov, A. L., & Muda, I. (2023). Impact of Corporate Social Responsibility on the Effectiveness of Companies' Business Activities. Emerging Science Journal, 7(3), 768–790. doi:10.28991/ESJ-2023-07-03-08.

Ananiev, A. V., Ivannikov, K. S., & Kazhanov, A. P. (2022). Model of the Aviation Target Destruction Process Based on Non-Stationary Markov Random Processes. Trudy MAI, 123(123), 1–18. doi:10.34759/trd-2022-123-18.

Lepeshkin, O. M., Vershennik, A. V., Ostroumov, O. A., & Ostroumov M. A. (2023). Model of the process of monitoring the functioning of a communication system based on the theory of Markov random processes. Information and Space, 1, 93-104.

Malinkovsky, Yu. V. (2021). Asymptotically equilibrium Markov random processes. News of the F. Skorina Gomel State University, 6(129), 100-103.

Kustov, A. I., Moiseev, S. I., & Stepanov, L. V. (2022). Modeling the Promotion of New Goods and Services on the Market Based on Markov Random Processes. Management Systems and Information Technologies, 3(89), 19–24. doi:10.36622/vstu.2022.89.3.005. (In Russian).

Pertsev, N. V., Loginov, K. K., & Topchii, V. A. (2020). Analysis of a Stage-Dependent Epidemic Model Based on a Non-Markov Random Process. Journal of Applied and Industrial Mathematics, 14(3), 566–580. doi:10.1134/S1990478920030151.

Huang, J. J., & Chen, C. Y. (2024). Using Markov Random Field and Analytic Hierarchy Process to Account for Interdependent Criteria. Algorithms, 17(1), 1. doi:10.3390/a17010001.

Pogorui, A. A., & Rodríguez-Dagnino, R. M. (2022). Stationary density function for a random evolution driven by a Markov-switching Ornstein-Uhlenbeck process with finite velocity. Random Operators and Stochastic Equations, 30(2), 113–120. doi:10.1515/rose-2022-2075.

Barkalov, S. A., Moiseev, S. I., & Serebryakova, E. A. (2023). Risk Analysis Dynamic Model in the Implementation of Construction Projects Based on Markov Random Processes. Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics, 23(2), 40–51. doi:10.14529/ctcr230204.

Barkalov, S. A., Moiseev, S. I., & Serebryakova, S. A. (2023). Inventory management model in the construction industry based on Markov random processes. Engineering Bulletin of the Don, 2(98), 211–223.

Bogdanov, R. A. (2023). Central limit theorem and its applications. In Stars of Science and Education, Collection of Articles of the International Research Competition, 7-10, Penza.

Lomovskoi, R. A. (2023). Statistical Data Analysis: Methods and Applications in Scientific Research. Current Research, 15-1, 29–34. doi:10.51635/27131513_2023_15_1_29. (In Russian).

Zolotarev, S. A., & Feshina, E. V. (2023). Application of queuing theory in automation of delivery enterprises. Trends in the Development of Science and Education, 95(6), 20-23. doi:10.18411/trnio-03-2023-273.

Yanushevich, O. O., Arutunov, S. D., Zolotnitskiy, I. V., Bagdasaryan, G. G., Kirakosyan, L. G., Sokolov, E. V., & Kostyrin, E. V. (2022). Economic efficiency of digital transformation of non-removable prosthetics technology in the management of dental services. Russian Stomatology, 15(2), 3–13. doi:10.17116/rosstomat2022150213.

Kalinin, M. Yu. (2022). Digital simulator of a random process based on its multidimensional Markov model. Control Systems and Information Technologies, 3(89), 10-14.

Acceptance Rate:	29%
Review Speed:	63 days
Issue Per Year:	4
Number of Volumes:	5
Number of Issues:	20
Number of Articles:	154
Number of Reviewers:	327
Number of Contributors:	540
Contributing Countries:	57
No. of Scopus Citations:	785
No. of WoS Citations:	694
No. of Google Citations:	1394
Google h-index:	22
Google i10-index:	51
Abstract Views:	138,409
PDF Download:	127,181

A Novel View on Dental Service Management Optimization Using Markov Processes

Authors

Downloads

Login

submission

Publisher & Affiliated Societies

Indexing & Abstracting

SidebarMenu

IndexedBy

Indexed In

twitter

Social Media

Analytics

Analytics

Information

Most Cited Articles

Alternative Fuel: Hydrogen and its Thermodynamic Behaviour

Assessment of the Presence of Pharmaceutical Compounds in Wastewaters and in Aquatic Environment

Utilization Management to Ensure Clean Water Sources in Coastal Areas

Eco-Friendly Asphalt Approach for the Development of Sustainable Roads

Address

Contact Info:

A Novel View on Dental Service Management Optimization Using Markov Processes

Authors

Downloads

Login

submission

Publisher & Affiliated Societies

Indexing & Abstracting

SidebarMenu

social

Journal Imprint

Journal Metrics

IndexedBy

Indexed In

twitter

Social Media

Analytics

Analytics

Information

Most Cited Articles

Alternative Fuel: Hydrogen and its Thermodynamic Behaviour

Assessment of the Presence of Pharmaceutical Compounds in Wastewaters and in Aquatic Environment

Utilization Management to Ensure Clean Water Sources in Coastal Areas

Eco-Friendly Asphalt Approach for the Development of Sustainable Roads