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Article

Identification and Layout Optimization of Congestion Bottlenecks in Air-Cargo Hub Multimodal Regions Based on the Max–Min Traffic Allocation Model

1
School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
2
China IPPR International Engineering Co., Ltd., Beijing 100089, China
3
College of Computer Science, Beijing Information Science and Technology University, Beijing 102206, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2026, 16(19), 9963; https://doi.org/10.3390/app16199963 (registering DOI)
Submission received: 16 September 2026 / Revised: 2 October 2026 / Accepted: 6 October 2026 / Published: 8 October 2026
(This article belongs to the Section Transportation and Future Mobility)

Abstract

Air-cargo hub cargo regions concentrate congestion in a few facilities competing for limited budget and land. We couple constraining-facility identification with capacity-oriented layout adjustment in one shortage-first Max–Min traffic-allocation workflow: path flows first minimize unmet demand and then peak utilization, and each facility is scored by the system relief a prespecified capacity step delivers after full reallocation, without bottleneck labels. On a synthetic eight-facility network whose demand intensity is calibrated on 61 days of desensitized terminal throughput records, ranking by post-reallocation relief rather than utilization separates the busiest facility from the most valuable expansion target. A frozen-forecast week authorizes construction only when forecast peak-utilization reduction clears a stated 4% threshold; a 10% forwarder-warehouse expansion then uniquely qualifies for the stated threshold and cuts modeled unmet demand by 43.7% and 18.5% at 1.5× and 2.0× pressure. In a random-holdout backtest, identification-driven rules lower unmet demand from 616.6 to 68.6, 48.4 and 0.0 ULD across three budget tiers under the same caps (25 re-draws; stability diagnostic p < 0.0001). Removing path substitution raises unmet demand from 616.6 to 1820.2 and 3409.8 ULD; an auxiliary negative-control classifier returning only the majority class provides no evidence of a learnable label shortcut under the tested features. The workflow screens candidates before capital is committed.
Keywords: air cargo hub; multimodal transport; congestion identification; layout optimization; max–min; traffic allocation air cargo hub; multimodal transport; congestion identification; layout optimization; max–min; traffic allocation

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MDPI and ACS Style

Lu, F.; Wang, X.; Wei, F.; Lu, Z. Identification and Layout Optimization of Congestion Bottlenecks in Air-Cargo Hub Multimodal Regions Based on the Max–Min Traffic Allocation Model. Appl. Sci. 2026, 16, 9963. https://doi.org/10.3390/app16199963

AMA Style

Lu F, Wang X, Wei F, Lu Z. Identification and Layout Optimization of Congestion Bottlenecks in Air-Cargo Hub Multimodal Regions Based on the Max–Min Traffic Allocation Model. Applied Sciences. 2026; 16(19):9963. https://doi.org/10.3390/app16199963

Chicago/Turabian Style

Lu, Fenglu, Xifu Wang, Fanhao Wei, and Zirui Lu. 2026. "Identification and Layout Optimization of Congestion Bottlenecks in Air-Cargo Hub Multimodal Regions Based on the Max–Min Traffic Allocation Model" Applied Sciences 16, no. 19: 9963. https://doi.org/10.3390/app16199963

APA Style

Lu, F., Wang, X., Wei, F., & Lu, Z. (2026). Identification and Layout Optimization of Congestion Bottlenecks in Air-Cargo Hub Multimodal Regions Based on the Max–Min Traffic Allocation Model. Applied Sciences, 16(19), 9963. https://doi.org/10.3390/app16199963

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