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

doi:10.16265/j.cnki.issn1003-3033.2022.01.025

Abstract

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

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.

Figures/Tables 12

Fig.1

Tab.1

Description of collections, indexes and parameters

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

Tab.1

Tab.2

Description of decision variables

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)

Tab.2

Tab.5

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

Tab.7

Disruption status of hospitals for each scenario

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

Tab.7

Tab.8

Calculation results of the model

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

Tab.8

Fig.2

Fig.3

Fig.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