Optimal model for fair dispatch of emergency materials considering regional disaster classification

doi:10.16265/j.cnki.issn1003-3033.2022.01.023

Abstract

Abstract:

In order to achieve fair dispatch of emergency materials at different disaster sites, inspired by the idea of accurate prevention and control in different regions and grades, a new fair scheduling model considering differentiated disaster classification was constructed with the aim of minimizing scheduling time and maximizing fairness of emergency materials distribution considering the minimum dissatisfaction of emergency materials at each disaster site at the same level as a benchmark to design fairness measurement index. Then, the model was solved by genetic algorithm, and simulation was conducted for the case of Hubei Province, the worst-hit area of the COVID-19 epidemic. The results show that this model can effectively solve the problem of fair material dispatch in differentiated disaster situations under the condition of material shortage. and while ensuring priority and focus of emergency materials distribution in worst-hit areas, it also takes into account the fairness of material dispatch at all levels of disaster areas.

Key words: disaster classification, emergency material dispatch, fairness, effectiveness, optimal model, emergency

SONG Yinghua, BAI Mingxuan, MA Yaping, LYU Wei, HUO Feizhou. Optimal model for fair dispatch of emergency materials considering regional disaster classification[J]. China Safety Science Journal, 2022, 32(1): 172-179.

Figures/Tables 8

Fig.1

Tab.1

Fig.2

Tab.2

Tab.3

Classification of disaster risk levels

受灾点	编号	正理想解距离 $d +$	负理想解距离 $d -$	相对贴近度 $T k$	需求紧迫度排序结果	灾情风险等级
武汉	Y1	0	126 562.3	1	1	Ⅰ级
黄石	Y9	118 116.09	8 446.375	0.067	9	Ⅱ级
十堰	Y12	120 091.24	6 471.061	0.051	12	Ⅱ级
襄阳	Y4	112 502.69	14 059.616	0.111	4	Ⅱ级
宜昌	Y7	116 582.84	9 979.464	0.079	7	Ⅱ级
荆州	Y5	113 932.02	12 630.311	0.1	5	Ⅱ级
荆门	Y8	118 064.15	8 498.157	0.067	8	Ⅱ级
受灾点	编号	正理想解距离 $d +$	负理想解距离 $d -$	相对贴近度 $T k$	需求紧迫度排序结果	灾情风险等级
鄂州	Y11	119 181.6	7 381.038	0.058	11	Ⅱ级
孝感	Y3	103 250.89	23 311.442	0.184	3	Ⅱ级
黄冈	Y2	94 804.773	31 757.523	0.251	2	Ⅰ级
咸宁	Y10	119 051.7	7 510.625	0.059	10	Ⅱ级
随州	Y6	114 971.57	11 590.734	0.092	6	Ⅱ级
恩施	Y14	123 859.52	2 702.803	0.021	14	Ⅱ级
仙桃	Y13	122 430.13	4 132.436	0.033	13	Ⅱ级
天门	Y15	124 015.4	2 547.428	0.02	15	Ⅲ级
潜江	Y16	125 860.56	703.881	0.006	16	Ⅲ级
神农架	Y17	126 562.3	0	0	17	Ⅲ级

Tab.3

Tab.4

Tab.5

Fig.3

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物资供应点	编号	物资可供量/只
武汉捷利物流园	G1	90 000
武汉宝湾物流园	G2	85 000
武汉萃元物流园	G3	95 000
鄂州赤湾物流园	G4	70 000
襄阳光彩物流园	G5	60 000

受灾点	编号	评价指标
受灾点	编号	人口密度/ (人·km²)	受伤受困人数比例/%	老幼比例/%	应急物资需求量/只	基础设施损坏程度
武汉	Y1	1 308.44	46.005 2	31.41	292 620	0
黄石	Y9	540.13	2.988 3	34.28	19 920	0
十堰	Y12	143.58	2.290 4	31.37	15 360	0
襄阳	Y4	287.92	4.902 9	34.17	32 880	0
宜昌	Y7	194.91	3.507 2	33.38	23 460	0
荆州	Y5	391.10	4.464 5	32.69	29 580	0
荆门	Y8	233.59	3.086 7	29.07	20 040	0
鄂州	Y11	663.97	2.737 8	33.63	17 460	0
孝感	Y3	552.67	8.213 3	34.11	54 240	0
黄冈	Y2	362.78	11.147 9	34.31	73 740	0
咸宁	Y10	261.32	2.648 3	36.36	17 760	0
随州	Y6	231.02	4.097 7	32.60	27 180	0
恩施	Y14	140.60	0.993 1	36.79	6 660	0
仙桃	Y13	449.21	1.512 0	32.82	9 960	0
天门	Y15	475.74	1.028 9	32.58	6 300	0
潜江	Y16	482.09	0.313 1	27.95	2 040	0
神农架	Y17	23.39	0.062 6	35.94	420	0

需求点	风险等级	配送中心	调度量/只	物资满足率/%	配送路径	配送时间/h
Y1	Ⅰ级	G1	64 615	68.17	G₁→49→34→20→17→6→5→Y1	0.63
		G2	75 579		G2→50→35→21→20→17→6→5→Y1	0.83
		G3	59 292		G3→26→9→1→Y1	0.36
Y2	Ⅰ级	G3	100	68.17	G3→26→24→40→59→58→Y2	1.58
Y2	Ⅰ级	G4	50 171	68.17	G4→59→58→Y2	0.86
Y3	Ⅱ级	G3	28 771	53.04	G3→41→42→68→67→Y3	1.02
Y4	Ⅱ级	G5	17 441	53.04	G5→76→Y4	0.44
Y5	Ⅱ级	G1	15 691	53.04	G1→49→91→64→71→72→79→Y5	3.46
Y6	Ⅱ级	G3	6 838	53.04	G3→41→42→68→67→66→69→Y6	2.98
Y6	Ⅱ级	G5	7 580	53.04	G5→76→75→69→Y6	2.5
Y7	Ⅱ级	G5	12 445	53.04	G5→76→77→78→81→89→Y7	4.78
Y8	Ⅱ级	G5	10 630	53.04	G5→76→77→78→Y8	2.84
Y9	Ⅱ级	G4	10 567	53.04	G4→59→56→92→Y9	1.12
Y10	Ⅱ级	G2	9 421	53.04	G2→50→51→52→53→61→Y10	1.46
Y11	Ⅱ级	G4	9 262	53.04	G4→59→57→Y11	0.86
Y12	Ⅱ级	G5	8 148	53.04	G5→76→84→85→Y12	2.76
Y13	Ⅱ级	G1	5 284	53.04	G1→49→91→64→Y13	1.2
Y14	Ⅱ级	G5	3 533	53.04	G5→76→84→83→87→88→90→Y14	7.28
Y15	Ⅲ级	G1	3 331	52.87	G1→49→91→64→71→Y15	2.6
Y16	Ⅲ级	G1	1 079	52.89	G1→49→91→64→71→Y16	2.2
Y17	Ⅲ级	G5	222	52.85	G5→84→83→87→Y12	3.42

调度方案	编号	调度时间/h	公平性	各级灾点应急物资最小满意度/%
调度方案	编号	调度时间/h	公平性	Ⅰ级	Ⅱ级	Ⅲ级
考虑分级	方案1	45.18	0.001 2	68.17	53.04	52.85
未考虑分级	方案2	46.72	5.375 0	58.68	58.68	58.68

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