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Article

Tractor and Semitrailer Scheduling with Time Windows in Highway Ports with Unbalanced Demand Under Network Conditions

1
School of Economics and Management, Guangxi University of Science and Technology, Liuzhou 545006, China
2
School of Computing, Engineering and Built Environment, Edinburgh Napier University, Edinburgh EH10 5DT, UK
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2881; https://doi.org/10.3390/math13172881
Submission received: 10 July 2025 / Revised: 22 August 2025 / Accepted: 31 August 2025 / Published: 6 September 2025

Abstract

To address the challenges of unbalanced demand and high operational costs in highway port logistics, this study investigates the scheduling of tractors and semitrailers under time window constraints in a networked environment, where geographically distributed ports are interconnected by fixed routes, and tractors dynamically transport semitrailers between ports to balance asymmetric demands. A mathematical optimization model is developed, incorporating multiple car yards, diverse transport demands, and temporal constraints. To solve the model efficiently, an Adaptive Large Neighborhood Search (ALNS) algorithm is proposed and benchmarked against an improved Ant Colony System (IACS). Simulation results show that, compared to traditional scheduling methods, the proposed approach reduces the number of required tractors by up to 61% and operational costs by up to 21%, depending on tractor working hours. The tractor-to-semitrailer ratio improves from 1.00:1.10 to 1.00:2.59, demonstrating the enhanced resource utilization enabled by the ALNS algorithm. These findings offer practical guidance for optimizing tractor and semitrailer configurations in highway port operations under varying conditions.
Keywords: highway transportation; scheduling optimization; ALNS algorithm; highway port; unbalanced demand; time windows highway transportation; scheduling optimization; ALNS algorithm; highway port; unbalanced demand; time windows

Share and Cite

MDPI and ACS Style

Guo, H.; Wang, F.; He, Y.; Zhou, Y. Tractor and Semitrailer Scheduling with Time Windows in Highway Ports with Unbalanced Demand Under Network Conditions. Mathematics 2025, 13, 2881. https://doi.org/10.3390/math13172881

AMA Style

Guo H, Wang F, He Y, Zhou Y. Tractor and Semitrailer Scheduling with Time Windows in Highway Ports with Unbalanced Demand Under Network Conditions. Mathematics. 2025; 13(17):2881. https://doi.org/10.3390/math13172881

Chicago/Turabian Style

Guo, Hongxia, Fengjun Wang, Yuyan He, and Yuyang Zhou. 2025. "Tractor and Semitrailer Scheduling with Time Windows in Highway Ports with Unbalanced Demand Under Network Conditions" Mathematics 13, no. 17: 2881. https://doi.org/10.3390/math13172881

APA Style

Guo, H., Wang, F., He, Y., & Zhou, Y. (2025). Tractor and Semitrailer Scheduling with Time Windows in Highway Ports with Unbalanced Demand Under Network Conditions. Mathematics, 13(17), 2881. https://doi.org/10.3390/math13172881

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