考虑移动医院的因灾受损血液供应链网络重构

doi:10.16265/j.cnki.issn1003-3033.2022.01.025

中国安全科学学报 ›› 2022, Vol. 32 ›› Issue (1): 188-194.doi: 10.16265/j.cnki.issn1003-3033.2022.01.025

考虑移动医院的因灾受损血液供应链网络重构

钟莉梦桃(), 王长军^**()

东华大学旭日工商管理学院,上海 200051

收稿日期:2021-10-18 修回日期:2021-12-13 出版日期:2022-01-28 发布日期:2022-07-28
通讯作者: 王长军
作者简介:
钟莉梦桃(1996—),女,四川乐山人,硕士研究生,研究方向为应急血液供应链优化。E-mail: zhonglimengtao@mail.dhu.edu.cn。
王长军副教授
基金资助:
国家自然科学基金重点项目资助(71832001); 上海市自然科学基金资助(20ZR1401900); 中央高校基本科研业务费专项资金服务管理与创新基地项目(2232018H-07)

Reconstruction of disrupted blood supply chain network considering mobile hospitals in disasters

ZHONG Limengtao(), WANG Changjun^**()

Glorious Sun School of Business and Management, Donghua University, Shanghai 200051, China

Received:2021-10-18 Revised:2021-12-13 Online:2022-01-28 Published:2022-07-28
Contact: WANG Changjun

摘要/Abstract

摘要：

为快速恢复因灾受损的血液供应链的救援能力,针对血液这一重要医疗物资,研究考虑移动医院的应急供应链重构。设计包含移动医院和临时献血点选址、血液外调与自采和血液与伤员转运的混合整数规划模型,并以红细胞为例,将模型应用于我国龙门山地震带的灾害救治案例中。结果表明:重构的供应链能够综合运用移动医院等资源,快速恢复血液救援能力,最大程度缓解灾害影响。即便是在灾情最严重的情况下,缺血量可减少12.95%。管理者在进行人道主义应急救援决策时,应综合考虑移动医院等医疗资源的有效利用。

关键词: 移动医院, 因灾受损, 血液供应链网络, 采血点, 设施损毁

Abstract:

In order to quickly recover relief capability of a disrupted blood supply chain, reconstruction of emergency supply chain network considering mobile hospitals was studied for human blood, an important medical material. A mixed integer programming model was developed, which took into account locations of mobile hospitals and temporary blood donation points, internal and external blood supply and transportation of blood and the wounded. Furthermore, with red blood cells as an example, the model was applied for a case study in disaster rescue of Longmenshan fault in China. The results show that the re-designed supply chain can utilize various resources such as mobile hospitals to quickly recover blood relief capabilities and minimize impacts of disasters. Even for the worst case, blood shortage could be reduced by 12.95%. Therefore, managers should consider the effective utilization of mobile hospitals and other resources while making humanitarian emergency rescue decisions.

Key words: mobile hospitals, disruption by disasters, blood supply chain networks, blood collection points, facility disruption

钟莉梦桃, 王长军. 考虑移动医院的因灾受损血液供应链网络重构[J]. 中国安全科学学报, 2022, 32(1): 188-194.

ZHONG Limengtao, WANG Changjun. Reconstruction of disrupted blood supply chain network considering mobile hospitals in disasters[J]. China Safety Science Journal, 2022, 32(1): 188-194.

图/表 12

图1

表1

集合、索引及参数说明

符号	说明
P, p	P为固定采血点集合, $p ∈ P$
R, r	R为医院集合, $r ∈ R$
T, t	T为临时采血点待选集合, $t ∈ T$
$M, m$	M为可供调配移动医院集合,m $∈ M$
$K, k$	K为移动医院安置待选点集合,k $∈ K$
s, $ρ$	血液单位短缺和剩余成本(元/U), 1U=200 mL
$q r$	医院 $r$ 的灾前血液存储水平(U)
$w r$	医院 $r$ 的救治能力上限,以输血能力计(U)
$z r r', z r k$	医院r覆盖区域伤员向医院 $r'$ 、移动医院 $待选点 k$ 的单位转移成本,以血液需求计(元/U)
$ϕ r$	医院r面临的血液紧急需求量(U)
$ζ r$	灾害中医院r是否可用,可用为1,否则为0
$u p, u t$	固定采血点p和临时采血点t供血能力(U)
$x t, o t, c t$	临时采血点t选址费用(元)、单位采血成本(元/U)和存储能力(U)
$c t r, c p r, c r r'$	临时采血点t及固定采血点p到医院r,医院r到医院 $r'$ 的单位血液运输成本(元/U)
$o p, e p$	固定采血点p的单位采血成本(元/U)和采血能力(U)
$y m$	移动医院m的转移安置费用(元)
$v m$	移动医院m的救治能力上限,以输血能力计(U)
Λ	无穷大实数

表1

表2

决策变量说明

决策变量	说明
$X t$	临时采血待选点t被选择时为1,否则为0
$Y t r$	临时采血点t为医院r供血时为1,否则为0
$Q t, Q p$	临时采血点t和固定采血点p的血液收集量(U)
$Y m k$	移动医院m安置在待选点k时为1,否则为0
决策变量	说明
$D r$	供应链重建后医院r面临的紧急需求量(U)
$C m k$	移动医院m被安置在k点时其自带血量(U)
$E m k$	安置在k点的移动医院m血液盈余量(U)
$F p r, F t r, F r r'$	固定采血点p和临时采血点t向医院r,以及医院r到医院 $r'$ 的血液运输量(U)
$Z r r', Z r m k$	医院r覆盖区域伤员向医院 $r'$ 和k点所在移动医院 $m 的$ 需求转移量(U)
$S r, E r$	医院r的血液短缺量和盈余量(U)

表2

表3

表4

表5

表6

医院覆盖区域对红细胞的紧急需求量 Tab.6 Emergency demand for red blood cells in covered areasU

场景	r₁	r₂	r₃	r₄
$ω 1$	784.43	309.52	278.98	892.58
$ω 2$	1 801.44	710.84	640.67	2 049.84
$ω 3$	30 310.3	11 960.66	10 779.71	34 490.36

表6

表7

各场景下医院损毁情况

场景	r₁	r₂	r₃	r₄
$ω 1$	1	1	1	1
$ω 2$	1	1	1	0
$ω 3$	0	0	0	1

表7

表8

模型计算结果

场景	总成本/元	临时采血点选址量/个	移动医院部署量/个	自采血/ U	外调血/U	短缺量/ U
$ω 1$	27 670.22	0	0	265.00	0.00	0.00
$ω 2$	432 591.78	7	0	3 202.79	0.00	0.00
$ω 3$	54 574 652.15	10	7	3 689.08	2 100.00	81 051.96

表8

图2

图3

图4

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地震场景	发生时间	震级	伤亡人数
ω₁	2014-11-22	6.3	78
ω₂	2013-04-20	7.0	13 019
ω₃	2008-05-12	8.0	375 783

考虑移动医院的因灾受损血液供应链网络重构

Reconstruction of disrupted blood supply chain network considering mobile hospitals in disasters

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