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Article | Open Access

Solving Multi-Depot Vehicle Routing Problems with Dynamic Customer Demand Using a Scheduling System TS-DPU Based on TS-ACO

Tsu-Yang Wu1Chengyuan Yu1Yanan Zhao2Saru Kumari3Chien-Ming Chen1( )
School of Artificial Intelligence/School of Future Technology, Nanjing University of Information Science and Technology, Nanjing, 210044, China
School of Transportation Science and Engineering, Beihang University, Beijing, 100191, China
Department of Mathematics, Chaudhary Charan Singh University, Meerut, 250004, Uttar Pradesh, India
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Abstract

With the increasing complexity of logistics operations, traditional static vehicle routing models are no longer sufficient. In practice, customer demands often arise dynamically, and multi-depot systems are commonly used to improve efficiency. This paper first introduces a vehicle routing problem with the goal of minimizing operating costs in a multi-depot environment with dynamic demand. New customers appear in the delivery process at any time and are periodically optimized according to time slices. Then, we propose a scheduling system TS-DPU based on an improved ant colony algorithm TS-ACO to solve this problem. The classical ant colony algorithm uses spatial distance to select nodes, while TS-ACO considers the impact of both temporal and spatial distance on node selection. Meanwhile, we adopt Cordeau’s Multi-Depot Vehicle Routing Problem with Time Windows (MDVRPTW) dataset to evaluate the performance of our system. According to the experimental results, TS-ACO, which considers spatial and temporal distance, is more effective than the classical ACO, which only considers spatial distance.

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Computers, Materials & Continua
Article number: 97

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Cite this article:
Wu T-Y, Yu C, Zhao Y, et al. Solving Multi-Depot Vehicle Routing Problems with Dynamic Customer Demand Using a Scheduling System TS-DPU Based on TS-ACO. Computers, Materials & Continua, 2026, 86(3): 97. https://doi.org/10.32604/cmc.2025.069139

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Received: 16 June 2025
Accepted: 21 November 2025
Published: 12 January 2026
© The Author 2025.

This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.