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Real-world Vehicle Routing Problems (RWVRPs) require solving complex, sequence-dependent challenges at scale with constraints such as delivery time window, replenishment or recharging stops, asymmetric travel cost, etc. While recent neural…

Machine Learning · Computer Science 2026-02-04 Saeed Nasehi Basharzad , Farhana Choudhury , Egemen Tanin

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

In this work, we present Eformer - Edge enhancement based transformer, a novel architecture that builds an encoder-decoder network using transformer blocks for medical image denoising. Non-overlapping window-based self-attention is used in…

Image and Video Processing · Electrical Eng. & Systems 2021-11-10 Achleshwar Luthra , Harsh Sulakhe , Tanish Mittal , Abhishek Iyer , Santosh Yadav

Recently, Transformer has become a prevailing deep architecture for solving vehicle routing problems (VRPs). However, it is less effective in learning improvement models for VRP because its positional encoding (PE) method is not suitable in…

Machine Learning · Computer Science 2022-12-02 Yining Ma , Jingwen Li , Zhiguang Cao , Wen Song , Le Zhang , Zhenghua Chen , Jing Tang

For NP-hard combinatorial optimization problems, it is usually difficult to find high-quality solutions in polynomial time. The design of either an exact algorithm or an approximate algorithm for these problems often requires significantly…

Machine Learning · Computer Science 2021-05-07 Kun Lei , Peng Guo , Yi Wang , Xiao Wu , Wenchao Zhao

In response to carbon-neutral policies in developed countries, electric vehicles route optimization has gained importance for logistics companies. With the increasing focus on customer expectations and the shift towards more…

Machine Learning · Computer Science 2024-07-03 Arash Mozhdehi , Mahdi Mohammadizadeh , Xin Wang

Most neural methods for Vehicle Routing Problems (VRPs) are limited to Euclidean settings or simple graphs. In this work, we instead consider multigraphs, where parallel edges represent distinct travel options with varying trade-offs (e.g.,…

Machine Learning · Computer Science 2026-05-08 Filip Rydin , Morteza Haghir Chehreghani , Balázs Kulcsár

The Vehicle Routing Problem (VRP) is a widely studied combinatorial optimization problem and has been applied to various practical problems. While the explainability for VRP is significant for improving the reliability and interactivity in…

Machine Learning · Computer Science 2025-10-10 Daisuke Kikuta , Hiroki Ikeuchi , Kengo Tajiri , Yuusuke Nakano

Neural models produce promising results when solving Vehicle Routing Problems (VRPs), but often fall short in generalization. Recent attempts to enhance model generalization often incur unnecessarily large training cost or cannot be…

Machine Learning · Computer Science 2025-03-19 Yubin Xiao , Di Wang , Xuan Wu , Yuesong Wu , Boyang Li , Wei Du , Liupu Wang , You Zhou

This paper introduces RouteFinder, a comprehensive foundation model framework to tackle different Vehicle Routing Problem (VRP) variants. Our core idea is that a foundation model for VRPs should be able to represent variants by treating…

Artificial Intelligence · Computer Science 2025-09-16 Federico Berto , Chuanbo Hua , Nayeli Gast Zepeda , André Hottung , Niels Wouda , Leon Lan , Junyoung Park , Kevin Tierney , Jinkyoo Park

Position encoding recently has shown effective in the transformer architecture. It enables valuable supervision for dependency modeling between elements at different positions of the sequence. In this paper, we first investigate various…

Computation and Language · Computer Science 2023-11-09 Jianlin Su , Yu Lu , Shengfeng Pan , Ahmed Murtadha , Bo Wen , Yunfeng Liu

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

There has been a recent surge in transformer-based architectures for learning on graphs, mainly motivated by attention as an effective learning mechanism and the desire to supersede handcrafted operators characteristic of message passing…

Machine Learning · Computer Science 2025-06-10 David Buterez , Jon Paul Janet , Dino Oglic , Pietro Lio

This research proposes a hybrid Machine Learning and metaheuristic mechanism that is designed to solve Vehicle Routing Problems (VRPs). The main of our method is an edge solution selector model, which classifies solution edges to identify…

Machine Learning · Computer Science 2025-08-21 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux , Daniele Vigo

Convolutional neural networks have made significant progresses in edge detection by progressively exploring the context and semantic features. However, local details are gradually suppressed with the enlarging of receptive fields. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Mengyang Pu , Yaping Huang , Yuming Liu , Qingji Guan , Haibin Ling

Light decoder-based solvers have gained popularity for solving vehicle routing problems (VRPs) due to their efficiency and ease of integration with reinforcement learning algorithms. However, they often struggle with generalization to…

Artificial Intelligence · Computer Science 2025-03-04 Ziwei Huang , Jianan Zhou , Zhiguang Cao , Yixin Xu

Scene text segmentation aims at cropping texts from scene images, which is usually used to help generative models edit or remove texts. The existing text segmentation methods tend to involve various text-related supervisions for better…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Haiyang Yu , Teng Fu , Bin Li , Xiangyang Xue

Dynamic graph-level embedding aims to capture structural evolution in networks, which is essential for modeling real-world scenarios. However, existing methods face two critical yet under-explored issues: Structural Visit Bias, where random…

Machine Learning · Computer Science 2025-08-22 Haodi Zhong , Liuxin Zou , Di Wang , Bo Wang , Zhenxing Niu , Quan Wang

The profiled vehicle routing problem (PVRP) is a generalization of the heterogeneous capacitated vehicle routing problem (HCVRP) in which the objective is to optimize the routes of vehicles to serve client demands subject to different…

Multiagent Systems · Computer Science 2025-02-05 Chuanbo Hua , Federico Berto , Jiwoo Son , Seunghyun Kang , Changhyun Kwon , Jinkyoo Park

Route planning for a fleet of vehicles is an important task in applications such as package delivery, surveillance, or transportation, often integrated within larger Intelligent Transportation Systems (ITS). This problem is commonly…

Artificial Intelligence · Computer Science 2025-05-21 Daniel Fuertes , Carlos R. del-Blanco , Fernando Jaureguizar , Narciso García
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