Mathematical Modelling for Optimally Allocating the Medical and Health Supplies Reserve in Hainan Province

Hu, Xiao-hua and Bayanmunkh, Bolormaa and Zhang, Zhong-wei ORCID: https://orcid.org/0000-0001-6622-0346 (2020) Mathematical Modelling for Optimally Allocating the Medical and Health Supplies Reserve in Hainan Province. Chinese Journal of Engineering Mathematics, 37 (3). pp. 335-346. ISSN 1005-3085


Abstract

The Floyd algorithm is applied to calculate the shortest path and the shortest distance between any two of the 18 major towns in Hainan province. We strive to explore how to make an allocation plan to assign the medical and health supplies from the given center locations reserving these goods and materials to all other towns, such that the total ton-kilometre (ton.km) numbers of the freight transport is minimized and achieve an optimal allocation in engineering. We respectively con­sider three situations, one center location (town)-Qiongzhong; two center locations (towns)-Ledong and Tunchang; three center locations (towns)- Changjiang, Dingan and Wuzhishan, and establish the optimization models. The relevant parameters in the models are estimated reasonably, and the numerical results are obtained respectively by Lingo mathematical software in three cases. Furthermore, the op­timization models are established similarly in the case of an unknown center point position (not in eighteen towns).


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Date Deposited: 01 Dec 2020 03:22
Last Modified: 03 Jan 2021 22:17
Uncontrolled Keywords: Floyd algorithm; center locations; medical and health supplies; Ton.km numbers minimum; optimization model
Fields of Research (2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490304 Optimisation
Socio-Economic Objectives (2008): C Society > 92 Health > 9202 Health and Support Services > 920207 Health Policy Economic Outcomes
Socio-Economic Objectives (2020): 20 HEALTH > 2003 Provision of health and support services > 200302 Community health care
Identification Number or DOI: https://doi.org/10.3969/j.issn.1005-3085.2020.03.008
URI: http://eprints.usq.edu.au/id/eprint/40188

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