不同灾害场景下基于匮乏理论的应急物流决策模型构建与分析

doi:10.16381/j.cnki.issn1003-207x.2023.0755

Abstract

Abstract:

In recent years， there are more natural disasters occurring in China， which lead to more demand of relief supplies. Facing different scenarios of disasters， the decision-maker has to select suitable modelling tools to figure out the optimal solution based on the practical situation. However， recent modelling studies in emergency logistics tend to ignore the feeling of victims and are far from practice. To solve these problems， relevant literature and practical operations in emergency logistics are studied. The deprivation cost is suggeted as the measurement， new objective functions and constraints are considered based on scenarios of disasters， and it is pointed out that different types of decision-makers such as governments and non-governmental organizations should be distinguished. Based on them， the emergency logistics decision-making models are constructed in different scenarios of disasters and their application is shown through simple numerical experiment. It is shown that emergency logistics modelling needs to identify and distinguish different scenarios of disasters and types of decision-makers， and make trade-offs between different objective functions.

Key words: disaster management, emergency logistics decision-making model, deprivation theory

CLC Number:

Yu Fan,Xihui Wang. Construction and Analysis of Emergency Logistics Decision-Making Models Based on Deprivation Theory in Different Scenarios of Disasters[J]. Chinese Journal of Management Science, 2026, 34(3): 114-121.

Figures/Tables 10

基础模型	$M a x D C * - D C s . t . C o s t < B u d g e t O t h e r s p e c i f i c c o n s t r a i n t s$
目标函数	效果类目标函数
约束条件	预算约束及其他具体约束

紧急情况模型	$M a x D C * - D C s . t . 0 ≤ t ≤ T O t h e r s p e c i f i c c o n s t r a i n t s$
目标函数	效果类目标函数
约束条件	时间约束及其他具体约束

恢复阶段模型	$M a x D C * - D C / c o s t s . t . O t h e r s p e c i f i c c o n s t r a i n t s$
目标函数	效果-成本比
约束条件	其他具体约束

参数符号	参数解释	取值
T	总时间约束	120小时
B	总预算约束	30000元
DC(t)	匮乏成本函数	0.2869×exp(0.0998t)
n	需求点数量	5
$d j$	从各个需求点到物资分发中心的运输时间	$d 1 = 3$ 小时， $d 2 = 4$ 小时， $d 3 = 8$ 小时， $d 4 = 10$ 小时， $d 5 = 13$ 小时
$c f i x$	每次租用车队的固定成本	20000元
$c u d$	单次装卸货成本	150元
$c t$	单位时间运输成本	80元
$x i j$	辅助决策变量	第i次运输到达了需求点j，则为1；反之为0
$t i$	第i次运输运到某个需求点的时刻
m	总运输次数

References 29

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	路径	应急物流运作效果（目标函数值）	效果成本比	各需求点最长匮乏时间	实际运输时间
运输5次	5-4-2-1-3	213316	7.7344	(63, 70, 68, 84, 107)	76
运输6次	5-4-2-1-3-5	225201	7.5167	(63, 70, 68, 84, 76)	102
运输7次	1-3-5-2-1-4-3	225046	7.5166	(61, 68, 76, 72, 85)	98
运输8次	1-1-1-5-3-2-4-1	224030	7.4876	(76, 64, 68, 78, 89)	94
运输9次	1-1-1-3-1-4-2-3-1	181625	6.0744	(50, 64, 50, 70, max)	90
运输10次	1-1-1-1-1-1-4-2-3-1	181159	6.0629	(50, 60, 72, 74, max)	86

	路径	应急物流运作效果（目标函数值）	效果成本比	各需求点最长匮乏时间	实际运输时间
运输5次	5-4-2-1-3	213316	7.7344	(63, 70, 68, 84, 107)	76
运输6次	5-4-2-1-3-5	225201	7.5167	(63, 70, 68, 84, 76)	102
运输7次	5-3-4-1-2-5-3	225812	7.1595	(65, 72, 76, 68, 76)	118
运输8次	2-5-4-1-2-3-5-1	225836	7.1287	(57, 60, 76, 76, 76)	116
运输9次	1-1-5-3-2-1-4-5-1	225803	6.9908	(56, 62, 74, 78, 76)	120
运输10次	1-1-2-3-4-1-5-2-3-1	225646	6.9558	(56, 76, 76, 74, 75)	118

	路径	应急物流运作效果	效果成本比（目标函数值）	各需求点最长匮乏时间	实际运输时间
运输5次	5-4-2-1-3	213316	7.7344	(63, 70, 68, 84, 107)	76
运输6次	2-5-4-1-2-3	220721	7.7392	(63, 60, 76, 76, 99)	84
运输7次	1-1-5-3-2-1-4	222591	7.6387	(56, 62, 74, 78, 95)	88
运输8次	1-1-1-5-3-2-4-1	224030	7.4876	(76, 64, 68, 78, 89)	94
运输9次	1-1-1-1-5-2-3-4-1	224412	7.3098	(76, 66, 66, 84, 83)	100
运输10次	1-1-1-1-5-2-3-4-1-1	224413	7.1287	(76, 66, 66, 84, 83)	106

Construction and Analysis of Emergency Logistics Decision-Making Models Based on Deprivation Theory in Different Scenarios of Disasters

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