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Large language models (LLMs) have achieved impressive reasoning performance, with reinforcement learning with verifiable rewards (RLVR) emerging as a standard paradigm for post-training. A representative algorithm, group relative policy…

机器学习 · 计算机科学 2025-10-01 Yuheng Zhang , Wenlin Yao , Changlong Yu , Yao Liu , Qingyu Yin , Bing Yin , Hyokun Yun , Lihong Li

This paper studies a variant of the Set Covering Routing Problem (SCRP) motivated by post-disaster humanitarian logistics. We consider a hybrid distribution concept in which the majority of transportation is performed by helicopters, while…

最优化与控制 · 数学 2026-05-05 Andreas Hagn , Jan Krause , Moritz Stargalla , Lorenza Moreno

The Vehicle Routing Problem (VRP) is a popular generalization of the Traveling Salesperson Problem. Instead of one salesperson traversing the entire weighted, undirected graph $G$, there are $k$ vehicles available to jointly cover the set…

Although several surveys on Neural Combinatorial Optimization (NCO) solvers specifically designed to solve Vehicle Routing Problems (VRPs) have been conducted, they did not cover the state-of-the-art (SOTA) NCO solvers emerged recently.…

人工智能 · 计算机科学 2025-04-28 Xuan Wu , Di Wang , Lijie Wen , Yubin Xiao , Chunguo Wu , Yuesong Wu , Chaoyu Yu , Douglas L. Maskell , You Zhou

The vehicle routing problem with two-dimensional loading constraints (2L-CVRP) and the last-in-first-out (LIFO) rule presents significant practical and algorithmic challenges. While numerous heuristic approaches have been proposed to…

人工智能 · 计算机科学 2024-06-19 Yifan Xia , Xiangyi Zhang

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

Routing problems are a class of combinatorial problems with many practical applications. Recently, end-to-end deep learning methods have been proposed to learn approximate solution heuristics for such problems. In contrast, classical…

机器学习 · 计算机科学 2021-12-06 Wouter Kool , Herke van Hoof , Joaquim Gromicho , Max Welling

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

Graph routing problems play a vital role in web-related networks, where finding optimal paths across graphs is essential for efficient data transmission and content delivery. Classic routing formulations such as the Traveling Salesman…

机器学习 · 计算机科学 2025-10-13 Shiyan Liu , Bohan Tan , Zhiguang Cao , Yan Jin

In the Cumulative Vehicle Routing Problem (Cu-VRP), we need to find a feasible itinerary for a capacitated vehicle located at the depot to satisfy customers' demand, as in the well-known Vehicle Routing Problem (VRP), but the goal is to…

数据结构与算法 · 计算机科学 2025-07-14 Jingyang Zhao , Mingyu Xiao

The Capacitated Vehicle Routing Problem with Time Windows (CVRPTW) is a fundamental NP-hard optimization problem in logistics. Solving large-scale instances remains computationally challenging for exact solvers. This paper introduces a…

人工智能 · 计算机科学 2026-04-14 Mustafa Mert Özyılmaz

The vehicle routing problem (VRP) is an NP-hard optimization problem that has been an interest of research for decades in science and industry. The objective is to plan routes of vehicles to deliver goods to a fixed number of customers with…

量子物理 · 物理学 2025-05-08 Nishikanta Mohanty , Bikash K. Behera , Christopher Ferrie

The Vehicle Routing Problem (VRP) is an example of a combinatorial optimization problem that has attracted academic attention due to its potential use in various contexts. VRP aims to arrange vehicle deliveries to several sites in the most…

量子物理 · 物理学 2025-05-08 Nishikanta Mohanty , Bikash K. Behera , Christopher Ferrie

We investigate a learning decision support system for vehicle routing, where the routing engine learns implicit preferences that human planners have when manually creating route plans (or routings). The goal is to use these learned…

人工智能 · 计算机科学 2021-01-12 Rocsildes Canoy , Víctor Bucarey , Jayanta Mandi , Tias Guns

In this research, a new variant of the vehicle routing problem with time windows is addressed. The nodes associated with the customers are related to each other through AND/OR precedence constraints. The objective is minimizing the total…

最优化与控制 · 数学 2021-06-04 Mina Roohnavazfar , Seyed Hamid Reza Pasandideh , Roberto Tadei

The well-known Vehicle Routing Problem with Time Windows (VRPTW) aims to reduce the cost of moving goods between several destinations while accommodating constraints like set time windows for certain locations and vehicle capacity.…

神经与进化计算 · 计算机科学 2023-06-06 Gautam Siddharth Kashyap , Alexander E. I. Brownlee , Orchid Chetia Phukan , Karan Malik , Samar Wazir

We offer a new in-depth investigation of global path planning (GPP) for unmanned ground vehicles, an autonomous mining sampling robot named ROMIE. GPP is essential for ROMIE's optimal performance, which is translated into solving the…

机器人学 · 计算机科学 2025-03-06 Alexandre Benoit , Pedram Asef

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

We study a stochastic variant of the vehicle routing problem arising in the context of domestic donor collection services. The problem we consider combines the following attributes. Customers requesting services are variable, in the sense…

最优化与控制 · 数学 2022-07-15 Mohsen Dastpak , Fausto Errico , Ola Jabali

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…

多智能体系统 · 计算机科学 2025-02-05 Chuanbo Hua , Federico Berto , Jiwoo Son , Seunghyun Kang , Changhyun Kwon , Jinkyoo Park