This study introduces a multi-objective slot-allocation model designed for coordinated airport clusters, with a focus on adaptive fairness. The model optimises the trade-off between minimising schedule deviations, promoting fairness among airlines and airports, and limiting individual flight adjustments. Utilising an -constraint method, the model transforms the multi-objective problem into a single-objective framework, with dynamically adjustable fairness constraints based on real-time flight volume. A novel piecewise function links the trade-off parameter () to flight volume, allowing the model to adaptively balance fairness and efficiency. Key operational constraints – airport and waypoint capacity limits, turnaround times and maximum deviation thresholds – are incorporated. A case study of the Beijing–Tianjin–Hebei airport cluster validates the model, showing significant improvements in fairness and operational efficiency. Slot-allocation adjustments of 75 min (Beijing Capital airport), 70 min (Beijing Daxing airport; ZBAD) and 35 min (Tainjin Binhai airport; ZBTJ) were achieved, with fairness indices improving at ZBAD (from 1.43 to 1.11) and ZBTJ (from 2.42 to 0.93). The adaptive model ensures equitable resource distribution among airlines, reducing maximum fairness deviation from 1.35 to 0.51. Sensitivity analysis confirms the model’s robustness, providing a scalable and practical solution for multi-airport systems facing dynamic traffic demands.
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Research Article|
May 27 2026
A multi-objective slot allocation framework with adaptive fairness for coordinated airport clusters Available to Purchase
Jie Ren;
School of Automation,
Northwestern Polytechnical University
, Xi’an, China
; School of Air Traffic Management, Civil Aviation University of China, Tianjin, ChinaCorresponding author Jie Ren (jren@cauc.edu.cn)
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Shiru Qu;
Shiru Qu
School of Automation,
Northwestern Polytechnical University
, Xi’an, China
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Zixuan Ma;
Zixuan Ma
School of Air Traffic Management,
Civil Aviation University of China
, Tianjin, China
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Lili Wang
Lili Wang
School of Air Traffic Management,
Civil Aviation University of China
, Tianjin, China
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Corresponding author Jie Ren (jren@cauc.edu.cn)
Conflicts of interest The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.
Publisher: Emerald Publishing
Received:
December 08 2025
Accepted:
March 14 2026
Online ISSN: 1751-7710
Print ISSN: 0965-092X
Funding
Funding Group:
- Award Group:
- Funder(s): Fundamental Research Funds for the Central Universities of China
- Award Id(s): 3122024042
- Funder(s):
- Funding Statement(s): This research was funded by the Fundamental Research Funds for the Central Universities of China, grant number 3122024042.
© 2026 Emerald Publishing Limited
2026
Emerald Publishing Limited
Licensed re-use rights only
Proceedings of the Institution of Civil Engineers - Transport 1–20.
Article history
Received:
December 08 2025
Accepted:
March 14 2026
Citation
Ren J, Qu S, Ma Z, Wang L (2026;), "A multi-objective slot allocation framework with adaptive fairness for coordinated airport clusters". Proceedings of the Institution of Civil Engineers - Transport, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1680/jtran.25.00188
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