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Article

The Hub Location and Flow Assignment Problem in the Intermodal Express Network of High-Speed Railways and Highways †

1
Business College, Qingdao University, Qingdao 266000, China
2
Chinese Academy of Sciences, Beijing 100190, China
*
Author to whom correspondence should be addressed.
The paper is expanded conference paper titled The hub location and flow assignment problem in the high-speed railway and highway co-transportation network, Shang, X.; Wang, Z.; Cheng, X.; Tian, X.; Ling, Z. 25th International Conference, Parallel and Distributed Computing, Applications and Technologies—PDCAT 2024, Hong Kong, China, 13–15 December 2024.
Systems 2025, 13(6), 482; https://doi.org/10.3390/systems13060482
Submission received: 15 May 2025 / Revised: 12 June 2025 / Accepted: 13 June 2025 / Published: 17 June 2025

Abstract

The intermodal express network of high-speed railways and highways can fully utilize the flexibility of highways and the advantages of high-speed railways, such as low cost, high efficiency, and low carbon emission. This paper studies the hub location and flow assignment problem in the intermodal express network of high-speed railways and highways, which can not only increase the transportation efficiency but also provide door-to-door service. Considering the characteristics of multiple modes, flow balance, carbon emission, capacity constraints, and time constraints in the intermodal express network, a mixed-integer linear programming model is proposed with the objective of minimizing the total cost by determining the hub locations, allocations, mode selections, and flow assignments. Owing to the NP-hard computational complexity, an improved genetic algorithm with local search is designed by combining the genetic operators and two optimization strategies to solve the problem effectively. Lastly, numerical experiments are conducted to validate the feasibility of the model and the effectiveness of the algorithm.
Keywords: hub location problem; high-speed railway express; intermodal express network; improved genetic algorithm; numerical experiments hub location problem; high-speed railway express; intermodal express network; improved genetic algorithm; numerical experiments

Share and Cite

MDPI and ACS Style

Shang, X.; Wang, Z.; Cheng, X.; Tian, X. The Hub Location and Flow Assignment Problem in the Intermodal Express Network of High-Speed Railways and Highways. Systems 2025, 13, 482. https://doi.org/10.3390/systems13060482

AMA Style

Shang X, Wang Z, Cheng X, Tian X. The Hub Location and Flow Assignment Problem in the Intermodal Express Network of High-Speed Railways and Highways. Systems. 2025; 13(6):482. https://doi.org/10.3390/systems13060482

Chicago/Turabian Style

Shang, Xiaoting, Zhenghang Wang, Xin Cheng, and Xiaoyun Tian. 2025. "The Hub Location and Flow Assignment Problem in the Intermodal Express Network of High-Speed Railways and Highways" Systems 13, no. 6: 482. https://doi.org/10.3390/systems13060482

APA Style

Shang, X., Wang, Z., Cheng, X., & Tian, X. (2025). The Hub Location and Flow Assignment Problem in the Intermodal Express Network of High-Speed Railways and Highways. Systems, 13(6), 482. https://doi.org/10.3390/systems13060482

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