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In last-mile routing, the task of finding a route is often framed as a Traveling Salesman Problem to minimize travel time and associated cost. However, solutions stemming from this approach do not match the realized paths as drivers deviate…

Optimization and Control · Mathematics 2022-05-11 Mayukh Ghosh , Alex Kuiper , Roshan Mahes , Donato Maragno

In last-mile delivery, drivers frequently deviate from planned delivery routes because of their tacit knowledge of the road and curbside infrastructure, customer availability, and other characteristics of the respective service areas.…

Machine Learning · Computer Science 2025-07-08 Baichuan Mo , Qing Yi Wang , Xiaotong Guo , Matthias Winkenbach , Jinhua Zhao

The goal of the Amazon Last Mile Routing Research Challenge is to integrate the real-life experience of Amazon drivers into the solution of optimal route planning and optimization. This paper presents our method that tackles this challenge…

Artificial Intelligence · Computer Science 2022-05-11 Chen Wu , Yin Song , Verdi March , Eden Duthie

Optimizing delivery routes for last-mile logistics service is challenging and has attracted the attention of many researchers. These problems are usually modeled and solved as variants of vehicle routing problems (VRPs) with challenging…

Artificial Intelligence · Computer Science 2023-03-09 Qian Shao , Shih-Fen Cheng

Districting-and-routing is a strategic problem aiming to aggregate basic geographical units (e.g., zip codes) into delivery districts. Its goal is to minimize the expected long-term routing cost of performing deliveries in each district…

Optimization and Control · Mathematics 2026-02-11 Arthur Ferraz , Cheikh Ahmed , Quentin Cappart , Thibaut Vidal

In this paper, we study the vehicle routing problem with a finite time horizon. In this routing problem, the objective is to maximize the number of customer requests served within a finite time horizon. We present a novel routing network…

Artificial Intelligence · Computer Science 2026-01-22 Ayan Maity , Sudeshna Sarkar

The application of learning based methods to vehicle routing problems has emerged as a pivotal area of research in combinatorial optimization. These problems are characterized by vast solution spaces and intricate constraints, making…

Machine Learning · Computer Science 2025-03-14 Zhenwei Wang , Ruibin Bai , Tiehua Zhang

We study the problem of learning the preferences of drivers and planners in the context of last mile delivery. Given a data set containing historical decisions and delivery locations, the goal is to capture the implicit preferences of the…

Artificial Intelligence · Computer Science 2022-01-26 Rocsildes Canoy , Victor Bucarey , Yves Molenbruch , Maxime Mulamba , Jayanta Mandi , Tias Guns

Last-mile carriers increasingly incorporate electric vehicles (EVs) into their delivery fleet to achieve sustainability goals. This goal presents many challenges across multiple planning spaces including but not limited to how to plan EV…

Machine Learning · Computer Science 2024-08-23 André Snoeck , Aniruddha Bhargava , Daniel Merchan , Josiah Davis , Julian Pachon

Last-mile routing refers to the final step in a supply chain, delivering packages from a depot station to the homes of customers. At the level of a single van driver, the task is a traveling salesman problem. But the choice of route may be…

Optimization and Control · Mathematics 2022-09-23 William Cook , Stephan Held , Keld Helsgaun

Recent works on machine learning for combinatorial optimization have shown that learning based approaches can outperform heuristic methods in terms of speed and performance. In this paper, we consider the problem of finding an optimal…

Recently, several studies have explored the use of neural network to solve different routing problems, which is an auspicious direction. These studies usually design an encoder-decoder based framework that uses encoder embeddings of nodes…

Artificial Intelligence · Computer Science 2021-09-13 Zongtao Liu , Jing Xu , Jintao Su , Tao Xiao , Yang Yang

Recent neural heuristics for the Vehicle Routing Problem (VRP) primarily rely on node coordinates as input, which may be less effective in practical scenarios where real cost metrics-such as edge-based distances-are more relevant. To…

Machine Learning · Computer Science 2025-06-23 Dian Meng , Zhiguang Cao , Yaoxin Wu , Yaqing Hou , Hongwei Ge , Qiang Zhang

In recent times, an increasing number of researchers have been devoted to utilizing deep neural networks for end-to-end flight navigation. This approach has gained traction due to its ability to bridge the gap between perception and…

Robotics · Computer Science 2024-10-11 Zhichao Han , Long Xu , Liuao Pei , Fei Gao

Graph neural networks based on iterative one-hop message passing have been shown to struggle in harnessing the information from distant nodes effectively. Conversely, graph transformers allow each node to attend to all other nodes directly,…

Machine Learning · Computer Science 2024-06-06 Yuhui Ding , Antonio Orvieto , Bobby He , Thomas Hofmann

With the development of urbanization, the scale of urban road network continues to expand, especially in some Asian countries. Short-term traffic state prediction is one of the bases of traffic management and control. Constrained by the…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Pengfei Xu , Weifeng Li , Chenjie Xu , Jian Li

Recent researches show that machine learning has the potential to learn better heuristics than the one designed by human for solving combinatorial optimization problems. The deep neural network is used to characterize the input instance for…

Machine Learning · Computer Science 2020-02-11 Bo Peng , Jiahai Wang , Zizhen Zhang

Learning-based methods have become increasingly popular for solving vehicle routing problems due to their near-optimal performance and fast inference speed. Among them, the combination of deep reinforcement learning and graph representation…

Machine Learning · Computer Science 2024-05-22 Zhenwei Wang , Ruibin Bai , Fazlullah Khan , Ender Ozcan , Tiehua Zhang

The Vehicle Routing Problem is about optimizing the routes of vehicles to meet the needs of customers at specific locations. The route graph consists of depots on several levels and customer positions. Several optimization methods have been…

Artificial Intelligence · Computer Science 2024-09-18 László Kovács , Ali Jlidi

Currently, path planning algorithms are used in many daily tasks. They are relevant to find the best route in traffic and make autonomous robots able to navigate. The use of path planning presents some issues in large and dynamic…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 Janderson Ferreira , Agostinho A. F. Júnior , Yves M. Galvão , Pablo Barros , Sergio Murilo Maciel Fernandes , Bruno J. T. Fernandes
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