Fu Ting, Li Sheng, Li Zhi
College of Mathematics and Computer, Guangdong Ocean University, Zhanjiang 524088, China.
Sensors (Basel). 2025 May 13;25(10):3087. doi: 10.3390/s25103087.
With the rapid development of e-commerce, the logistics industry faces multiple challenges, including high delivery costs, long delivery times, and a shortage of delivery personnel. Truck-drone collaborative delivery combines the high load capacity of trucks with the flexibility and speed of drones, offering an innovative and practical solution. This paper proposes the Truck-Drone Collaborative Delivery Routing Problem (TDCRPTW) and develops a multi-objective optimization model that minimizes delivery costs and maximizes time reliability under capacity and time window constraints in multi-truck, multi-drone scenarios. To solve the model, an innovative two-stage solution strategy that combines the adaptive k-means++ clustering algorithm with temperature-controlled memory simulated annealing (TCMSA) is proposed. The experimental results demonstrate that the proposed model reduces delivery costs by 10% to 50% and reduces delivery time by 15% to 40%, showcasing the superiority of the truck-drone collaborative delivery model. Moreover, the proposed algorithm demonstrates outstanding performance and reliability across multiple dimensions. Therefore, the proposed approach provides an efficient solution to the truck-drone collaborative delivery problem and offers valuable insights for enhancing the efficiency and reliability of e-commerce logistics systems.
随着电子商务的快速发展,物流行业面临多重挑战,包括高配送成本、长配送时间以及配送人员短缺。卡车与无人机协同配送将卡车的高载重能力与无人机的灵活性和速度相结合,提供了一种创新且实用的解决方案。本文提出了卡车 - 无人机协同配送路径规划问题(TDCRPTW),并建立了一个多目标优化模型,该模型在多卡车、多无人机场景下的容量和时间窗口约束条件下,使配送成本最小化并使时间可靠性最大化。为求解该模型,提出了一种创新的两阶段求解策略,即将自适应k均值++聚类算法与温控记忆模拟退火算法(TCMSA)相结合。实验结果表明,所提出的模型可将配送成本降低10%至50%,并将配送时间缩短15%至40%,展示了卡车 - 无人机协同配送模型的优越性。此外,所提出的算法在多个维度上都表现出卓越的性能和可靠性。因此,所提出的方法为卡车 - 无人机协同配送问题提供了一种高效的解决方案,并为提高电子商务物流系统的效率和可靠性提供了有价值的见解。