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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2020, Vol. 37 ›› Issue (3): 335-346.doi: 10.3969/j.issn.1005-3085.2020.03.008

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海南省医疗卫生物资最优调配的数学建模（英）

胡晓华1,  水  晶1,  张忠伟2   

  1. 1- 海南师范大学数学与统计学院，海口  571158
    2- 南昆士兰大学工程科学学院，昆士兰 图文巴，OLD 4350
  • 收稿日期:2018-01-16 接受日期:2019-06-04 出版日期:2020-06-15 发布日期:2020-08-15

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

HU Xiao-hua1, BAYANMUNKH Bolormaa1, ZHANG Zhong-we2   

  1. 1- School of Mathematics and Statistics, Hainan Normal University, Haikou 571158
    2- School of Engineering and Sciences, University of Southern Queensland, Toowoomba, QLD 4350
  • Received:2018-01-16 Accepted:2019-06-04 Online:2020-06-15 Published:2020-08-15

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摘要： 本文应用 Floyd 算法得到海南省十八个主要城镇任意两点之间的最短路径和最短距离，在已知医疗卫生物资供应点（中心点）的情况下，研究从中心点如何制定调配计划，向其余各城镇配送医疗卫生物资，使总的货运吨千米数达到最小，工程上达到最优调配．具体分三种情况，一个中心点（琼中），两个中心点（乐东和屯昌），三个中心点（昌江、定安和五指山），建立了有关的最优数学模型，合理估计了模型中有关参数，结合 Lingo 数学软件，分别获得三种情况下数学模型的数值结果，并进一步地，从理论上分三种情况分别建立了中心点位置未知情况下（不在十八个城镇）的最优化数学模型．

关键词: Floyd算法, 中心位置, 医疗卫生物资, 吨千米数最小, 最优化模型

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).

Key words: Floyd algorithm, center locations, medical and health supplies, Ton.km numbers minimum, optimization model

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