Vaccination queueing system simulation
Abstract
In order to respond to different requirements in banks, airports, hospitals and other organizations, queueing models are used to help in managing and allocating of the resources. Because we live in the pandemic of COVID-19, mass vaccination is necessary for obtaining collective immunity. For mathematical modeling of the vaccination’s process, we use a queueing system as a useful tool for estimating of the capacity requirements and service time. For that purpose, we have made simulation in AnyLogic Simulation Modeling Software. In that simulation, the processes of the vaccination and revaccination are considered. Also, the capacity of queue, the capacity of system, the average waiting time in the queue and in the system are estimated.
Communicated by J. Koppitz
References
- 1. , A drive-through simulation tool for mass vaccination during COVID-19 pandemic, Healthcare 8 (2020) 469–490. Crossref, Google Scholar
- 2. , Queueing Networks (Springer, 1994). Google Scholar
- 3. ,
Epidemic diseases in the past: history, philosophy, and religious thought, Chapter 31 , in Encyclopedia of Infectious Diseases: Modern Methodologies, ed. Tibayrenc Michel (John Wiley & Son, 2006), pp. 517–524. Google Scholar - 4. , Queueing Modelling Fundamentals with Applications in Communication Networks, 2nd edn. (John Wiley & Son, 2008). Google Scholar
- 5. , Introduction to Queueing Theory (Elsevier North Holland, 1981). Google Scholar
- 6. Coronavirus Disease (COVID-19): Vaccines (World Health Organization, 2020), https://www.who.int/news-room/questions-and-answers/item/coronavirus-disease-(covid-19)-vaccines. Google Scholar
- 7. , An overview on infectious disease, Indian J. Pharm. Sci. Res. 2 (2012) 63–74. Google Scholar
- 8. , Introduction to Queueing Networks (Springer, 2018). Crossref, Google Scholar
- 9. Novel Coronavirus (2019-nCoV) Situation Report-1 (World Health Organization, 2020), https://www.who.int/docs/default-source/coronaviruse/situation-reports/20200121-sitrep-1-2019-ncov.pdf. Google Scholar
- 10. , Coronavirus disease 2019 (COVID-19): Diagnosis and management, Erciyes Med. J. 42(3) (2020) 242–249. Google Scholar
- 11. , Pandemics in History, epiTRENDS — A Monthly Bulletin on Epidemiology and Public Health Practice in Washington, 25(4) Washington State Department of Health, (2020). Google Scholar
- 12. , New Queueing Network Approximations for Vaccination Clinics — Studying the Batch Arrival, Batch Service Processes and Stations with no Real Servers Paperback (VDM Verlag Dr. Mueller e.K., 2007). Google Scholar
- 13. J. Sztrik, Basic Queueing Theory, Faculty of Informatics, University of Debrecen (2012). Google Scholar
- 14. M. A. Treadwell, Queuing models and assessment tools for improving mass dispensing and vaccination clinic planning, Master Thesis, Faculty of the Graduate School of the University of Maryland, College Park (2006). Google Scholar
- 15. J. Virtamo, Queueing Network, 38.3143 Queueing Theory/Queueing networks. Google Scholar
- 16. M. Zukerman, Introduction to Queueing Theory and Stochastic Teletraffic Models, EE Department, City University of Hong Kong (2020). Google Scholar
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