基于数据驱动的应急血液供应网络配置分布式鲁棒优化方案研究

doi:10.16381/j.cnki.issn1003-207x.2022.0198

Abstract

Abstract:

After the earthquake and other emergencies， emergency medical resources such as blood are needed for the treatment of the wounded. Reasonable blood supply and allocation is the premise and guarantee of medical treatment. In the configuration of blood supply network， it should not only improve the daily blood supply efficiency and avoid excessive blood collection， but also considers the impact of post disaster emergencies to reduce casualties caused by insufficient blood supply in this study. In order to minimize the pre-disaster operation cost and ensure the smooth progress of post disaster safety rescue， considering the two different blood demand characteristics before and after the disaster， a multi cycle distributed robust optimization model of emergency blood supply network and configuration based on data-driven is established. With the historical data of the needs of past disasters， the blood needs are expressed in emergencies in the form of fuzzy sets， and the data-driven Rsome robust optimization third-party library in Python are used to solve the model. Finally， through the actual case analysis， the applicability of the decision-making model is verified， which shows that the model can provide decision support for decision-makers in the process of considering the emergency blood supply network and configuration of emergencies.

Key words: emergency medical resources, blood supply network, distributionally robust optimization, uncertain demand

CLC Number:

O224

Ling Zhang, Jinpeng Li, Shengqun Chen. Research on Distributed Robust Optimization Scheme of Emergency Blood Supply Network Configuration Based on Data Driven[J]. Chinese Journal of Management Science, 2025, 33(2): 131-140.

Figures/Tables 24

参数	定义
集合
$I$	固定献血点 $i$ 集合， $i ∈ I$
$K$	血站 $k$ 集合， $k ∈ K$
$H$	医院 $h$ 集合， $h ∈ H$
$T$	灾前运营周期 $t$ 集合， $t ∈ T$
参数
$D h t$	日常运营中，第 $t$ 周期医院 $h$ 对血液的需求
$C k h$	将血液从血站 $k$ 运往医院 $h$ 的距离
$r$	单位血液制品每千米的运输成本
$O p$	每单位血液的采集成本（血液的采集成本包括血袋、采血前初筛、卫生耗材、以及发给献血者的纪念物礼品等）
$O b$	每单位血液的运营成本（血液的运营成本包括对血液的检测、血液成分制备、人工成本、水电费、专用设备折旧、以及一些相关的间接成本）
$S c k$	血站 $k$ 每单位血液的储存成本
$S c h$	医院 $h$ 每单位血液的储存成本
$V i$	固定献血点 $i$ 供应上限
$C a p k$	血站 $k$ 库容上限
$C a p h$	医院 $h$ 库容上限
$l$	血液制品最大生命周期
$p$	血液需求未满足时的单位惩罚成本
$ω$	灾后医院多余血液的单位处置成本
$δ h$	灾后医院 $h$ 对血液的应急需求
决策变量
$X i k t$	第 $t$ 周期固定献血点 $i$ 运往血站 $k$ 的血液配送量
$X k h t$	第 $t$ 周期血站 $k$ 至医院 $h$ 的血液配送量
$Y h t$	第 $t$ 周期结束时医院 $h$ 的血液储存量
$Z k h$	突发事件发生后，血站 $k$ 至医院 $h$ 的血液配送量
$S h h$	灾后阶段医院 $h$ 未满足血液需求的短缺量
$R e h$	灾后阶段医院 $h$ 剩余血液量

References 19

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血站	医院1	医院2	医院3	医院4	医院5	医院6	医院7
血液中心A	6.8	3.1	6.9	5.8	2.3	5.9	8.9
中心血库B	29.3	27.4	24.9	26.1	32.8	35.2	32.2
中心血站C	24.6	27.9	23.9	26.9	33.3	36.4	26.7

区域	覆盖人口（人）	献血量上限（U·周期）
天府新区	866233	339.56
武侯区	1206568	472.97
金牛区	1265398	496.04
青羊区	955954	374.73
成华区	1381894	541.70
锦江区	902933	353.95

时间	震级	医院1	医院2	医院3	医院4	医院5	医院6	医院7
2012.07.26	4.0	220.31	328.02	1237.22	423.11	327.27	610.76	129.7
2013.04.21	7	897.85	1180.52	3823.43	131.57	182	253.56	102.91
2014.01.11	4.8	1170.77	262	316.38	232.24	71.76	320.23	158.99
2014.04.02	4.0	249.01	513.56	213.21	410.26	412.1	144.78	144.3
2015.06.05	4.0	762.12	300.74	1371.04	867.22	423.14	403.74	363.87
2019.05.02	4.5	144.26	217.46	415.74	350.36	159.41	423.44	211.13
2020.01.22	4.5	349.57	318.8	401.62	251.2	286.13	321.42	106.18

159165.00	41207.60	193051.00	-10037.30	-23571.40	-14779.00	4715.69
41207.60	113562.00	379059.00	-34324.40	-4057.38	-21823.30	-12279.10
193051.00	379059.00	1644150.00	-56581.80	-16040.00	-6265.19	-14692.90
-10037.30	-34324.40	-56581.80	56861.80	22293.30	10175.40	19535.70
-23571.40	-4057.38	-16040.00	22293.30	17724.00	-13.37	4391.15
-14779.00	-21823.30	-6265.19	10175.40	-13.37	21547.50	2786.42
4715.69	-12279.10	-14692.90	19535.70	4391.15	2786.42	8358.73

模型	血液中心A			中心血库B		中心血站C
DRO	2072.69			385.45		430.81
RO	2145.66			910.58		913.58
SP	1665.78			0		121.91
	医院1	医院2	医院3	医院4	医院5	医院6	医院7
DRO	120.22	137.71	236.09	72.99	46.58	91.99	72.51
RO	255.52	248.7	309.44	171.82	134	189.56	178.9
SP	255.52	251.88	309.44	171.82	134	189.56	173.87

Research on Distributed Robust Optimization Scheme of Emergency Blood Supply Network Configuration Based on Data Driven

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Figures/Tables 24

References 19

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模型	第一阶段成本	第二阶段成本	总成本
DRO	492118.8	23452.37	515571.16
RO	502804.14	2608979.42	3111783.56
SP	480763.39	12640.21	493403.6

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