Advantages of regional infectious hospital points in North Macedonia during the COVID-19 pandemic in weighted c-centers

Bukurie Imeri Jusufi, Azir Jusufi, Besim Zeqiri

Abstract


Graph theory is a field of study that has a wide range of applications in many different areas. This research focuses on the use of Floyd's Algorithm for modeling and finding the weighted c-centers in the eight regions of North Macedonia, which correspond to the planning regions defined by the decision of the Assembly of North Macedonia, dated September 29, 2009.

In the context of the SARS-CoV-2 (COVID-19) pandemic, where chaos and challenges have escalated globally, the application of graph theory is essential in providing mathematical solutions to health emergency problems, and North Macedonia has not been an exception to the resulting challenges. The increase in the number of infected individuals and the issues of overcrowding in a hospital center were among the most critical aspects of the situation. This research aims to focus on the importance of establishing infectious hospital points in several key centers, which would have provided faster, more efficient, and financially less costly medical services. This paper offers an effort to find mathematical solutions that would improve preparedness and response to future pandemics. The aim of this paper is to contribute to the design of efficient planning for health emergency situations, addressing challenges related to the strategic placement of hospital resources during crisis moments. The data on the number of infected individuals are official data, obtained from the Ministry of Health of North Macedonia.


Keywords


Graphs, Covid-19, North Macedonia, Floyd’s Algorithm, Advantages, C-Centres.

Full Text:

PDF

References


Kedhi Vasillaq. Chapter 7 “Knowledge about graphs” , Chapter 8 “Shortest path problems” in Operational research (Kerkimi operacional), DitaPrint, Tirana, ISBN 978-99928-229-11-3, 2017, pp.225-289

Robin J. Wilson ,“Chapter 1, Introduction” in Introduction to Graph Theory, Fourth edition, LONGMAN, Reprinted 1998, pp.1-8

Azir Jusufi, Kristaq Filipi,”Chapter 11, Elements of graph theory” in Discrete Mathematics and applications (Matematike Diskrete dhe aplikime), UBT Pristina, ISBN: 978-9951-550-52-9, 2022, pp.299-330.

Kenneth H. Rosen, “Chapter 10, Graphs” in Discrete Mathematics and its Applications, Eighth Edition, The McGraw-Hill Companies, 2019, pp.673-780

Thoma Mitre, Alma Spaho,”Part Two, Graphs and Networks” in Applied Mathematics (Matematika e Zbatuar), Botime Pegi,Tirana, ISBN:978-9928-233-01-1, 2016, pp. 213-320

Hysen Binjaku, “Chapter 7. Network optimization” in Mathematics exercises (Ushtrime te Matematikes), Infobotues,Tirana, ISBN 978-99956-830-2-3, 2010, pp.143-206

Diellza Berisha, Bukurie Imeri-Jusufi, Mirlinda Reqica, Azir Jusufi, Social-economic advantages of c-centres and m-centres with weight in Kosovo, Innovative Systems Design and Engineering, Vol 12, No.5, pp.21-29, 2022. DOI: 10.7176/ISDE/12-5-04

Bukurie Imeri Jusufi, Teuta Jusufi-Zenku, Azir Jusufi, Social -Economic Advantages Of Weighted C-Centers And M-Centers In North Macedonia, International Journal of Progressive Sciences and Technologies Vol 35, No 1, pp. 86-97, 2022. DOI: 10.52155/ijpsat.v35.1.4677




DOI: http://dx.doi.org/10.52155/ijpsat.v48.1.6827

Refbacks

  • There are currently no refbacks.


Copyright (c) 2024 Bukurie Imeri Jusufi

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.