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

Article

Hu, Xiao-hua, Bayanmunkh, Bolormaa and Zhang, Zhong-wei. 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. https://doi.org/10.3969/j.issn.1005-3085.2020.03.008
Article Title Mathematical Modelling for Optimally Allocating the Medical and Health Supplies Reserve in Hainan Province 39686 Article Hu, Xiao-hua (Author), Bayanmunkh, Bolormaa (Author) and Zhang, Zhong-wei (Author) Chinese Journal of Engineering Mathematics 37 (3), pp. 335-346 12 2020 China 1005-3085 https://doi.org/10.3969/j.issn.1005-3085.2020.03.008 http://jgsx-csiam.org.cn/EN/10.3969/j.issn.1005-3085.2020.03.008 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). Floyd algorithm; center locations; medical and health supplies; Ton.km numbers minimum; optimization model 490304. Optimisation Hainan Normal University, China School of Sciences University of Southern Queensland

https://research.usq.edu.au/item/q5zz3/mathematical-modelling-for-optimally-allocating-the-medical-and-health-supplies-reserve-in-hainan-province

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