Optimization and Machine Learning-Based Methods in Air Traffic Management and Aeronautical Domains

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 31 March 2026 | Viewed by 2930

Special Issue Editor


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Guest Editor
Institute for Infocomm Research (I2R), Agency for Science, Technology and Research (A*STAR), Singapore 138632, Singapore
Interests: intelligent transportation systems; air traffic management; optimizations & applications

Special Issue Information

Dear colleagues,

In the domain of Air Traffic Management and Aeronautics, optimization and machine learning techniques are crucial for addressing the challenges posed by increasing air traffic and the growing demands for safety, efficiency, and environmental sustainability. Traditional approaches face limitations in managing complex air traffic systems. Optimization methods, including mathematical programming and heuristic algorithms, are applied to optimize airspace resource allocation, flight path planning, and airport ground traffic scheduling, aiming to enhance airspace capacity, reduce flight delays, and lower operational costs. Machine learning approaches, such as supervised learning, unsupervised learning, and deep learning, leverage vast amounts of historical data to uncover underlying patterns and trends. They enable accurate air traffic flow prediction, flight risk assessment and early warning, and intelligent aircraft performance monitoring, thereby providing robust decision-making support. The integration of optimization and machine learning, such as using machine learning to model complex air traffic systems and then applying optimization algorithms to solve them, offers new pathways for tackling intricate problems in Air Traffic Management and Aeronautics, driving the aviation industry toward greater safety, efficiency, and sustainability.

Dr. Yicheng Zhang
Guest Editor

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Keywords

  • air traffic management
  • optimization
  • machine learning

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Published Papers (4 papers)

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Research

31 pages, 1530 KB  
Article
Towards Resilient Agriculture: A Novel UAV-Based Lightweight Deep Learning Framework for Wheat Head Detection
by Na Luo, Yao Yang, Xiwei Yang, Di Yang, Jiao Tang, Siyuan Duan, Hou Huang and He Zhu
Mathematics 2025, 13(23), 3844; https://doi.org/10.3390/math13233844 - 1 Dec 2025
Viewed by 407
Abstract
Precision agriculture increasingly relies on unmanned aerial vehicle (UAV) imagery for high-throughput crop phenotyping, yet existing deep learning detection models face critical constraints limiting practical deployment: computational demands incompatible with edge computing platforms and insufficient accuracy for multi-scale object detection across diverse environmental [...] Read more.
Precision agriculture increasingly relies on unmanned aerial vehicle (UAV) imagery for high-throughput crop phenotyping, yet existing deep learning detection models face critical constraints limiting practical deployment: computational demands incompatible with edge computing platforms and insufficient accuracy for multi-scale object detection across diverse environmental conditions. We present LSM-YOLO, a lightweight detection framework specifically designed for aerial wheat head monitoring that achieves state-of-the-art performance while maintaining minimal computational requirements. The architecture integrates three synergistic innovations: a Lightweight Adaptive Extraction (LAE) module that reduces parameters by 87.3% through efficient spatial rearrangement and adaptive feature weighting while preserving critical boundary information; a P2-level high-resolution detection head that substantially improves small object recall in high-altitude imagery; and a Dynamic Head mechanism employing unified multi-dimensional attention across scale, spatial, and task dimensions. Comprehensive evaluation on the Global Wheat Head Detection dataset demonstrates that LSM-YOLO achieves 91.4% mAP@0.5 and 51.0% mAP@0.5:0.95—representing 21.1% and 37.1% improvements over baseline YOLO11n—while requiring only 1.29 M parameters and 3.4 GFLOPs, constituting 50.0% parameter reduction and 46.0% computational cost reduction compared to the baseline. Full article
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23 pages, 1880 KB  
Article
A Data-Driven Framework for Flight Delay Propagation Forecasting During Extreme Weather
by Jiuxia Guo, Jingyuan Li, Jiang Yuan, Yungui Yang and Zihao Ren
Mathematics 2025, 13(21), 3551; https://doi.org/10.3390/math13213551 - 5 Nov 2025
Viewed by 1058
Abstract
Flight delays during extreme weather events exhibit spatio-temporal propagation and cascading effects, posing serious challenges to the resilience of aviation systems. Existing prediction approaches often neglect dynamic dependencies across flight chains and struggle to model sparse extreme events. This study develops a data-driven [...] Read more.
Flight delays during extreme weather events exhibit spatio-temporal propagation and cascading effects, posing serious challenges to the resilience of aviation systems. Existing prediction approaches often neglect dynamic dependencies across flight chains and struggle to model sparse extreme events. This study develops a data-driven framework that explicitly models delay propagation paths, incorporates historical scenario retrieval to capture rare disruption patterns, and integrates meteorological, airport operational, and flight-specific information through multi-source fusion. Using U.S. flight operations and weather records, the framework demonstrates clear advantages over established baselines in extreme-delay scenarios, achieving a MAE of 3.23 min, an RMSE of 6.25 min, and an R2 of 0.92—improving by 8.8%, 26.0%, and 5.75% compared to the best benchmark. Ablation studies confirm the contribution of the propagation modeling, historical retrieval, and multi-source integration modules, while cross-airport evaluations reveal consistent accuracy at both major hubs (e.g., Atlanta, Chicago O’Hare) and regional airports (e.g., Kona, Anchorage). These findings demonstrate that the proposed framework enables reliable forecasting of delay propagation under complex weather conditions, providing valuable support for proactive departure management and enhancing the resilience of aviation operations. Full article
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20 pages, 3817 KB  
Article
Multiscale Contextual Fusion for Robust Airport Surveillance
by Fei Yan, Jiuxia Guo and Huawei Wang
Mathematics 2025, 13(20), 3350; https://doi.org/10.3390/math13203350 - 21 Oct 2025
Viewed by 465
Abstract
Object detection in airport surface surveillance presents significant challenges, primarily due to the extreme variation in object scales and the critical need for contextual information. To address these issues, we propose a novel deep learning architecture that integrates two specialized modules: the Poly [...] Read more.
Object detection in airport surface surveillance presents significant challenges, primarily due to the extreme variation in object scales and the critical need for contextual information. To address these issues, we propose a novel deep learning architecture that integrates two specialized modules: the Poly Kernel Inception (PKI) module and the Context Anchor Attention (CAA) module. The PKI module is designed to effectively capture multi-scale features, enabling the accurate detection of objects ranging from large aircraft to small staff members. Concurrently, the CAA module leverages long-range contextual information, which significantly enhances the model’s ability to precisely localize and identify targets within complex scenes. The synergistic integration of these two modules demonstrates a substantial improvement in feature extraction performance, leading to enhanced detection accuracy on our publicly available ASS dataset. This work provides a robust and effective solution for the challenging task of airport surface object detection, establishing a strong foundation for future research in this domain. Full article
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28 pages, 547 KB  
Article
State-DynAttn: A Hybrid State-Space and Dynamic Graph Attention Architecture for Robust Air Traffic Flow Prediction Under Weather Disruptions
by Fei Yan and Huawei Wang
Mathematics 2025, 13(20), 3346; https://doi.org/10.3390/math13203346 - 21 Oct 2025
Viewed by 695
Abstract
We propose State-DynAttn, a hybrid architecture for robust air traffic flow prediction under weather disruptions, which integrates state-space models (SSMs) with dynamic graph attention to address the challenges of long-range dependency modeling and adaptive spatial–temporal relationship learning. The increasing complexity of air traffic [...] Read more.
We propose State-DynAttn, a hybrid architecture for robust air traffic flow prediction under weather disruptions, which integrates state-space models (SSMs) with dynamic graph attention to address the challenges of long-range dependency modeling and adaptive spatial–temporal relationship learning. The increasing complexity of air traffic systems, exacerbated by unpredictable weather events, demands methods that can simultaneously capture global temporal patterns and localized disruptions; existing approaches often struggle to balance these requirements efficiently. The proposed method employs two parallel branches: an SSM branch for continuous-time recurrent modeling of long-range dependencies with linear complexity, and a dynamic graph attention branch that adaptively computes node-pair weights while incorporating weather severity features through sparsification strategies for scalability. These branches are fused via a data-dependent gating mechanism, enabling the model to dynamically prioritize either global temporal dynamics or localized spatial interactions based on input conditions. Moreover, the architecture leverages memory-efficient attention computation and HiPPO initialization to ensure stable training and inference. Experiments on real-world air traffic datasets demonstrate that State-DynAttn outperforms existing baselines in prediction accuracy and robustness, particularly under severe weather scenarios. The framework’s ability to handle both gradual traffic evolution and abrupt disruption-induced changes makes it suitable for real-world deployment in air traffic management systems. Furthermore, the design principles of State-DynAttn can be extended to other spatiotemporal prediction tasks where long-range dependencies and dynamic relational structures coexist. This work contributes a principled approach to hybridizing state-space models with graph-based attention, offering insights into the trade-offs between computational efficiency and modeling flexibility in complex dynamical systems. Full article
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