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VRP (Vehicle Routing Problem) is an NP hard problem, and it has attracted a lot of research interest. In contexts where vehicles have limited carrying capacity, such as volume and weight but needed to deliver items at various locations.…

Vehicle routing problems (VRPs) constitute a core optimization challenge in modern logistics and supply chain management. The recent neural combinatorial optimization (NCO) has demonstrated superior efficiency over some traditional…

人工智能 · 计算机科学 2026-04-14 Xiangchi Meng , Jianan Zhou , Jie Gao , Yifan Lu , Yaoxin Wu , Gonglin Yuan , Yaqing Hou

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

In this paper, we are concerned with the automated exchange of orders between logistics companies in a marketplace platform to optimize total revenues. We introduce a novel multi-agent approach to this problem, focusing on the Collaborative…

多智能体系统 · 计算机科学 2023-09-01 Paul Mingzheng Tang , Ba Phong Tran , Hoong Chuin Lau

Recent studies and industry advancements indicate that modular vehicles (MVs) have the potential to enhance transportation systems through their ability to dock and split during a trip. Although various applications of MVs have been…

最优化与控制 · 数学 2025-03-17 Hang Zhou , Yang Li , Chengyuan Ma , Keke Long , Xiaopeng Li

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…

机器学习 · 计算机科学 2025-08-21 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux , Daniele Vigo

Generative flow networks (GFlowNets) are a family of algorithms for training a sequential sampler of discrete objects under an unnormalized target density and have been successfully used for various probabilistic modeling tasks. Existing…

The vehicle routing problem is one of the most studied combinatorial optimization topics, due to its practical importance and methodological interest. Yet, despite extensive methodological progress, many recent studies are hampered by the…

神经与进化计算 · 计算机科学 2022-12-05 Thibaut Vidal

Recently, machine learning of the branch and bound algorithm has shown promise in approximating competent solutions to NP-hard problems. In this paper, we utilize and comprehensively compare the outcomes of three neural networks--graph…

机器学习 · 计算机科学 2023-10-18 Andrew Naguib , Waleed A. Yousef , Issa Traoré , Mohammad Mamun

This work applies Generative Flow Networks (GFlowNets) to three graph optimization problems: the Traveling Salesperson Problem, Minimum Spanning Tree, and Shortest Path. GFlowNets are generative models that learn to sample solutions…

人工智能 · 计算机科学 2025-10-28 Mark Phillip Matovic

Recently, there is an emerging trend to apply deep reinforcement learning to solve the vehicle routing problem (VRP), where a learnt policy governs the selection of next node for visiting. However, existing methods could not handle well the…

机器学习 · 计算机科学 2021-10-07 Jingwen Li , Liang Xin , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

In this work, a novel idea is presented for combinatorial optimization problems, a hybrid network, which results in a superior outcome. We applied this method to graph pointer networks [1], expanding its capabilities to a higher level. We…

This paper provides a systematic overview of machine learning methods applied to solve NP-hard Vehicle Routing Problems (VRPs). Recently, there has been a great interest from both machine learning and operations research communities to…

机器学习 · 计算机科学 2022-05-06 Aigerim Bogyrbayeva , Meraryslan Meraliyev , Taukekhan Mustakhov , Bissenbay Dauletbayev

We investigate a structural decomposition for the capacitated vehicle routing problem (CVRP) based on vehicle-to-customer "assignment" and visits "sequencing" decision variables. We show that an heuristic search focused on assignment…

最优化与控制 · 数学 2018-03-19 Túlio A. M. Toffolo , Thibaut Vidal , Tony Wauters

When vehicle routing decisions are intertwined with higher-level decisions, the resulting optimization problems pose significant challenges for computation. Examples are the multi-depot vehicle routing problem (MDVRP), where customers are…

神经与进化计算 · 计算机科学 2024-09-10 Abhay Sobhanan , Junyoung Park , Jinkyoo Park , Changhyun Kwon

Data-parallel (DP) load balancing has emerged as a first-order bottleneck in large-scale LLM serving. When a model is sharded across devices via tensor parallelism (TP) or expert parallelism (EP) and replicated across many DP workers, every…

分布式、并行与集群计算 · 计算机科学 2026-05-11 Tianci Bu , Yuan Lyu , Zixi Chen , Chendong Song , Hong Liang , Tsepten Gurung , Yuwei Fan , Yinyu Ye , Zijie Zhou

Green vehicle routing problem (GVRP) aims to consider greenhouse gas emissions reduction, while routing the vehicles. It can be either through adopting Alternative Fuel Vehicles (AFVs) or with existing conventional fossil fuel vehicles in…

最优化与控制 · 数学 2023-01-20 Saba Sabet , Bilal Farooq

Electric Vehicles (EVs) are becoming increasingly prevalent nowadays, with studies highlighting their potential as mobile energy storage systems to provide grid support. Realising this potential requires effective charging coordination,…

系统与控制 · 电气工程与系统科学 2025-07-22 Jun Kang Yap , Vishnu Monn Baskaran , Wen Shan Tan , Ze Yang Ding , Hao Wang , David L. Dowe

The inventory routing problem (IRP) focuses on jointly optimizing inventory and distribution operations from a supplier to retailers over multiple days. Compared to other problems from the vehicle routing family, the interrelations between…

神经与进化计算 · 计算机科学 2025-11-25 Jingyi Zhao , Claudia Archetti , Tuan Anh Pham , Thibaut Vidal

Neural solvers based on the divide-and-conquer approach for Vehicle Routing Problems (VRPs) in general, and capacitated VRP (CVRP) in particular, integrates the global partition of an instance with local constructions for each subproblem to…

机器学习 · 计算机科学 2025-02-13 Yuxin Pan , Ruohong Liu , Yize Chen , Zhiguang Cao , Fangzhen Lin