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Article

Research of MIP-HCO Model Based on k-Nearest Neighbor and Branch-and-Bound Algorithms in Aerospace Emergency Launch Missions

1
School of Computer and Electronic Information, Guangxi University, Nanning 530004, China
2
Digital Guangxi lntelligent Infrastructure Joint Innovation Laboratory, Nanning 530000, China
*
Authors to whom correspondence should be addressed.
Mathematics 2025, 13(10), 1652; https://doi.org/10.3390/math13101652 (registering DOI)
Submission received: 20 April 2025 / Revised: 15 May 2025 / Accepted: 16 May 2025 / Published: 18 May 2025

Abstract

This study proposes a mixed-integer programming-based hierarchical collaborative optimization (MIP-HCO) model to optimize the scheduling and execution of emergency launch missions, ensuring rapid response and performance maximization under constrained time and resources. The key innovation lies in integrating k-Nearest Neighbor (KNN) with Branch and Bound (B&B) to enhance computational efficiency and global optimality. The first layer constructs a spatiotemporal optimization model, considering launch sites, storage proximity, and process duration. The B&B algorithm solves mission scheduling, while a dynamic adjustment strategy optimizes launch vehicle reutilization. The second layer refines mission selection based on contribution assessment and re-optimizes scheduling using integer programming. KNN classification approximates scheduling quality, reducing B&B complexity and accelerating convergence. Results from simulation data and experimental simulations confirm that the KNN + B&B hybrid strategy optimizes scheduling efficiency, enabling launch systems to respond swiftly under emergencies while maximizing mission effectiveness.
Keywords: mixed-integer programming; branch and bound; k-nearest neighbors; aerospace emergency launch mixed-integer programming; branch and bound; k-nearest neighbors; aerospace emergency launch

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MDPI and ACS Style

Li, X.; Zhan, F.; Huang, J.; Chen, Y. Research of MIP-HCO Model Based on k-Nearest Neighbor and Branch-and-Bound Algorithms in Aerospace Emergency Launch Missions. Mathematics 2025, 13, 1652. https://doi.org/10.3390/math13101652

AMA Style

Li X, Zhan F, Huang J, Chen Y. Research of MIP-HCO Model Based on k-Nearest Neighbor and Branch-and-Bound Algorithms in Aerospace Emergency Launch Missions. Mathematics. 2025; 13(10):1652. https://doi.org/10.3390/math13101652

Chicago/Turabian Style

Li, Xiangzhe, Feng Zhan, Jinqing Huang, and Yan Chen. 2025. "Research of MIP-HCO Model Based on k-Nearest Neighbor and Branch-and-Bound Algorithms in Aerospace Emergency Launch Missions" Mathematics 13, no. 10: 1652. https://doi.org/10.3390/math13101652

APA Style

Li, X., Zhan, F., Huang, J., & Chen, Y. (2025). Research of MIP-HCO Model Based on k-Nearest Neighbor and Branch-and-Bound Algorithms in Aerospace Emergency Launch Missions. Mathematics, 13(10), 1652. https://doi.org/10.3390/math13101652

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