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The Vehicle Routing Problem (VRP) is a fundamental challenge in logistics management research, given its substantial influence on transportation efficiency, cost minimization, and service quality. As a combinatorial optimization problem,…

计算工程、金融与科学 · 计算机科学 2025-07-01 Souad Abdoune , Menouar Boulif

Despite the extensive research efforts and the remarkable results obtained on Vehicle Routing Problems (VRP) by using algorithms proposed by the Machine Learning community that are partially or entirely based on data-driven analysis, most…

机器学习 · 计算机科学 2021-09-30 Luca Accorsi , Andrea Lodi , Daniele Vigo

Deep reinforcement learning (DRL) has been used to learn effective heuristics for solving complex combinatorial optimisation problem via policy networks and have demonstrated promising performance. Existing works have focused on solving…

机器学习 · 计算机科学 2020-12-25 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

Vehicle Routing Problems (VRP) are an extension of the Traveling Salesperson Problem and are a fundamental NP-hard challenge in combinatorial optimization. Solving VRP in real-time at large scale has become critical in numerous…

机器学习 · 计算机科学 2025-09-23 Ido Greenberg , Piotr Sielski , Hugo Linsenmaier , Rajesh Gandham , Shie Mannor , Alex Fender , Gal Chechik , Eli Meirom

Logistics and transport are core of many industrial and business processes. One of the most promising segments in the field is optimisation of vehicle routes. Scientific effort is focused primarily on algorithms developed in simplified…

最优化与控制 · 数学 2024-03-08 Nikica Peric , Slaven Begovic , Vinko Lesic

We consider a dynamic vehicle routing problem with time windows and stochastic customers (DS-VRPTW), such that customers may request for services as vehicles have already started their tours. To solve this problem, the goal is to provide a…

人工智能 · 计算机科学 2015-02-09 Michael Saint-Guillain , Yves Deville , Christine Solnon

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…

人工智能 · 计算机科学 2024-09-18 László Kovács , Ali Jlidi

Extensive research has been conducted, over recent years, on various ways of enhancing heuristic search for combinatorial optimization problems with machine learning algorithms. In this study, we investigate the use of predictions from…

神经与进化计算 · 计算机科学 2022-10-24 Ítalo Santana , Andrea Lodi , Thibaut Vidal

We consider vehicle-routing problems (VRPs) that incorporate the notion of {\em regret} of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the…

数据结构与算法 · 计算机科学 2013-11-26 Zachary Friggstad , Chaitanya Swamy

The goal of this paper is to investigate a decision support system for vehicle routing, where the routing engine learns from the subjective decisions that human planners have made in the past, rather than optimizing a distance-based…

人工智能 · 计算机科学 2019-09-18 Rocsildes Canoy , Tias Guns

This paper deals with generating of an optimized route for multiple Vehicle routing Problems (mVRP). We used a methodology of clustering the given cities depending upon the number of vehicles and each cluster is allotted to a vehicle. k-…

分布式、并行与集群计算 · 计算机科学 2010-01-26 R. Nallusamy , K. Duraiswamy , R. Dhanalaksmi , P. Parthiban

Routing problems are often faced by companies who serve costumers through vehicles. Such problems have a challenging structure to optimize, despite the recent advances in combinatorial optimization. The goal of this project is to study and…

神经与进化计算 · 计算机科学 2018-09-03 Felipe F. Müller , Luis A. A. Meira

Recent neural combinatorial optimization (NCO) methods have shown promising problem-solving ability without requiring domain-specific expertise. Most existing NCO methods use training and testing data with a fixed constraint value and lack…

机器学习 · 计算机科学 2025-10-31 Fu Luo , Yaoxin Wu , Zhi Zheng , Zhenkun Wang

RLVR has enhanced the reasoning capabilities of Large Language Models (LLMs) across various tasks. However, GRPO, a representative RLVR algorithm, suffers from a critical limitation: when all responses within a group are either entirely…

Learning to solve vehicle routing problems (VRPs) has garnered much attention. However, most neural solvers are only structured and trained independently on a specific problem, making them less generic and practical. In this paper, we aim…

人工智能 · 计算机科学 2024-05-07 Jianan Zhou , Zhiguang Cao , Yaoxin Wu , Wen Song , Yining Ma , Jie Zhang , Chi Xu

The Profiled Vehicle Routing Problem (PVRP) extends the classical VRP by incorporating vehicle-client-specific preferences and constraints, reflecting real-world requirements such as zone restrictions and service-level preferences. While…

机器学习 · 计算机科学 2025-08-26 Chuanbo Hua , Federico Berto , Zhikai Zhao , Jiwoo Son , Changhyun Kwon , Jinkyoo Park

The practical deployment of Neural Combinatorial Optimization (NCO) for Vehicle Routing Problems (VRPs) is hindered by a critical sim-to-real gap. This gap stems not only from training on oversimplified Euclidean data but also from…

机器学习 · 计算机科学 2026-03-17 Jiwoo Son , Zhikai Zhao , Federico Berto , Chuanbo Hua , Zhiguang Cao , Changhyun Kwon , Jinkyoo Park

The Vehicle Routing Problem (VRP) is a complex optimization problem with numerous real-world applications, mostly solved using metaheuristic algorithms due to its $\mathcal{NP}$-Hard nature. Traditionally, these metaheuristics rely on…

人工智能 · 计算机科学 2025-08-11 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux

The Entrance Dependent Vehicle Routing Problem (EDVRP) is a variant of the Vehicle Routing Problem (VRP) where the scale of cities influences routing outcomes, necessitating consideration of their entrances. This paper addresses EDVRP in…

机器人学 · 计算机科学 2025-03-05 Yixuan Fan , Haotian Xu , Mengqiao Liu , Qing Zhuo , Tao Zhang

The vehicle routing problem is a well known class of NP-hard combinatorial optimisation problems in literature. Traditional solution methods involve either carefully designed heuristics, or time-consuming metaheuristics. Recent work in…

人工智能 · 计算机科学 2022-06-15 Harshad Khadilkar