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In order to address the problem of low payload and spatial utilization rates in the air transportation of emergency supplies, this study focuses on mixed loading schemes for transport aircraft, targeting non-standard emergency materials characterized by diverse types, significant variations in size and mass, and the presence of bundling or proportional transportation requirements. A size-based classification criterion was proposed to divide the materials into three categories: large, medium, and small. For medium and small items, a multi-objective two-dimensional loading model was established and solved by integrating the bottom-left algorithm with NSGA-III. The resulting configurations were then treated as large-sized items. Within the aircraft cargo hold, NSGA-III was further employed to generate loading schemes for these large-sized items, with the objectives of maximizing loaded area and payload weight while minimizing center-of-gravity deviation. The results indicate that, through material classification and staged optimization, the proposed method effectively reduces the dimensionality of the solution space and improves computational efficiency. The generated loading schemes achieve an average cargo space utilization rate of 78.09%, an average payload utilization rate of 86.19%, and an average center-of-gravity deviation of only 0.222 meters. This approach significantly enhances the utilization of transport aircraft while ensuring flight safety, and provides timely decision-making support for emergency relief operations.

, authors=Jianxun TANG1, Shuai YUE2, Yantao WANG1, Xiangling ZHAO1, authorsList=Jianxun TANG, Shuai YUE, Yantao WANG, Xiangling ZHAO, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1282032621450412691, articleId=1282032614957630095, tenantId=1146029695717560320, journalId=1146031787341344770, language=CN, title=面向非标应急物资的运输机混合装载方案, columnId=1149733268855108116, journalTitle=中国安全科学学报, columnName=应急技术与管理, runingTitle=null, highlight=null, articleAbstract=

针对应急物资调运时运输机载重和空间利用率偏低问题,面向类型多、尺寸质量差异大、存在捆绑或成比例运输的非标应急物资,研究运输机的混合装载方法。提出基于尺寸的分类标准,将物资分为大中小3类;针对中小型物资建立多目标二维装载模型,融合最低水平线算法与非支配排序遗传算法(NSGA-Ⅲ)求解,将结果视为大型物资;在运输机货舱中,以最大装载面积、业载及最小重心偏差为目标,利用NSGA-Ⅲ生成大型物资装载方案。结果表明:该方法通过物资分类与分阶段求解,可有效降低解空间维度,提高求解效率,生成的装载方案的货舱空间平均利用率达78.09%,载重平均利用率达86.19%,平均重心偏差仅0.222 m,在保障飞行安全的前提下显著提升运输机利用率,为应急救援快速决策提供支持。

, authors=唐建勋讲师1, 岳帅2, 王岩韬教授1, 赵向领副教授1, authorsList=唐建勋讲师, 岳帅, 王岩韬教授, 赵向领副教授, authorCompany=null, correspAuthors=null, authorNote=

唐建勋(1980—),男,山东寿光人,博士,讲师,主要从事生产调度优化、飞机装载优化方面的研究。E-mail:

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唐建勋(1980—),男,山东寿光人,博士,讲师,主要从事生产调度优化、飞机装载优化方面的研究。E-mail:

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唐建勋(1980—),男,山东寿光人,博士,讲师,主要从事生产调度优化、飞机装载优化方面的研究。E-mail:

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面向非标应急物资的运输机混合装载方案
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唐建勋讲师 1 , 岳帅 2 , 王岩韬教授 1 , 赵向领副教授 1
中国安全科学学报 | 应急技术与管理 2025,35(9): 244-252
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中国安全科学学报 |应急技术与管理 2025 , 35 (9) : 244 -252
面向非标应急物资的运输机混合装载方案
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唐建勋讲师1 , 岳帅2, 王岩韬教授1, 赵向领副教授1
作者信息
  • 1中国民航大学 空中交通管理学院,天津 300300
  • 2中国国际航空股份有限公司 运行控制中心,北京 100621
作者简介:

唐建勋(1980—),男,山东寿光人,博士,讲师,主要从事生产调度优化、飞机装载优化方面的研究。E-mail:

Research on hybrid loading scheme of transport aircraft for off-standard emergency materials
Jianxun TANG1 , Shuai YUE2, Yantao WANG1, Xiangling ZHAO1
Affiliations
  • 1School of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China
  • 2Operation Control Center, Air China Limited, Beijing 100621, China
出版时间: 2025-09-28 doi: 10.16265/j.cnki.issn1003-3033.2025.09.1736
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针对应急物资调运时运输机载重和空间利用率偏低问题,面向类型多、尺寸质量差异大、存在捆绑或成比例运输的非标应急物资,研究运输机的混合装载方法。提出基于尺寸的分类标准,将物资分为大中小3类;针对中小型物资建立多目标二维装载模型,融合最低水平线算法与非支配排序遗传算法(NSGA-Ⅲ)求解,将结果视为大型物资;在运输机货舱中,以最大装载面积、业载及最小重心偏差为目标,利用NSGA-Ⅲ生成大型物资装载方案。结果表明:该方法通过物资分类与分阶段求解,可有效降低解空间维度,提高求解效率,生成的装载方案的货舱空间平均利用率达78.09%,载重平均利用率达86.19%,平均重心偏差仅0.222 m,在保障飞行安全的前提下显著提升运输机利用率,为应急救援快速决策提供支持。

非标应急物资  /  运输机  /  装载方案  /  非支配排序遗传算法(NSGA-Ⅲ)  /  最低水平线

In order to address the problem of low payload and spatial utilization rates in the air transportation of emergency supplies, this study focuses on mixed loading schemes for transport aircraft, targeting non-standard emergency materials characterized by diverse types, significant variations in size and mass, and the presence of bundling or proportional transportation requirements. A size-based classification criterion was proposed to divide the materials into three categories: large, medium, and small. For medium and small items, a multi-objective two-dimensional loading model was established and solved by integrating the bottom-left algorithm with NSGA-III. The resulting configurations were then treated as large-sized items. Within the aircraft cargo hold, NSGA-III was further employed to generate loading schemes for these large-sized items, with the objectives of maximizing loaded area and payload weight while minimizing center-of-gravity deviation. The results indicate that, through material classification and staged optimization, the proposed method effectively reduces the dimensionality of the solution space and improves computational efficiency. The generated loading schemes achieve an average cargo space utilization rate of 78.09%, an average payload utilization rate of 86.19%, and an average center-of-gravity deviation of only 0.222 meters. This approach significantly enhances the utilization of transport aircraft while ensuring flight safety, and provides timely decision-making support for emergency relief operations.

non-standard emergency supplies  /  air transportation  /  loading program  /  non-dominated sorting genetic algorithm (NSGA-Ⅲ)  /  bottom-left algorithm
唐建勋讲师, 岳帅, 王岩韬教授, 赵向领副教授. 面向非标应急物资的运输机混合装载方案. 中国安全科学学报, 2025 , 35 (9) : 244 -252 . DOI: 10.16265/j.cnki.issn1003-3033.2025.09.1736
Jianxun TANG, Shuai YUE, Yantao WANG, Xiangling ZHAO. Research on hybrid loading scheme of transport aircraft for off-standard emergency materials[J]. China Safety Science Journal, 2025 , 35 (9) : 244 -252 . DOI: 10.16265/j.cnki.issn1003-3033.2025.09.1736
  • 国家重点研发课题(2022YFC3002502)
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2025年第35卷第9期
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doi: 10.16265/j.cnki.issn1003-3033.2025.09.1736
  • 接收时间:2025-04-23
  • 首发时间:2026-07-09
  • 出版时间:2025-09-28
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  • 收稿日期:2025-04-23
  • 修回日期:2025-07-10
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国家重点研发课题(2022YFC3002502)
作者信息
    1中国民航大学 空中交通管理学院,天津 300300
    2中国国际航空股份有限公司 运行控制中心,北京 100621
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2种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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