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相关论文: Cross-Problem Learning for Solving Vehicle Routing…

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We explore the impact of learning paradigms on training deep neural networks for the Travelling Salesman Problem. We design controlled experiments to train supervised learning (SL) and reinforcement learning (RL) models on fixed graph sizes…

机器学习 · 计算机科学 2019-11-01 Chaitanya K. Joshi , Thomas Laurent , Xavier Bresson

The Capacitated Vehicle Routing Problem (CVRP) is a fundamental NP-hard problem with broad applications in logistics and transportation. Real-world CVRPs often involve diverse objectives and complex constraints, such as time windows or…

人工智能 · 计算机科学 2026-05-15 Wen Wang , Xiangchen Wu , Liang Wang , Hao Hu , Xianping Tao

The Travelling Salesman Problem (TSP) is a classical combinatorial optimisation problem. Deep learning has been successfully extended to meta-learning, where previous solving efforts assist in learning how to optimise future optimisation…

机器学习 · 计算机科学 2020-11-04 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

The recent end-to-end neural solvers have shown promise for small-scale routing problems but suffered from limited real-time scaling-up performance. This paper proposes GLOP (Global and Local Optimization Policies), a unified hierarchical…

人工智能 · 计算机科学 2024-07-23 Haoran Ye , Jiarui Wang , Helan Liang , Zhiguang Cao , Yong Li , Fanzhang Li

We propose a manager-worker framework based on deep reinforcement learning to tackle a hard yet nontrivial variant of Travelling Salesman Problem (TSP), \ie~multiple-vehicle TSP with time window and rejections (mTSPTWR), where customers who…

机器学习 · 计算机科学 2022-09-14 Rongkai Zhang , Cong Zhang , Zhiguang Cao , Wen Song , Puay Siew Tan , Jie Zhang , Bihan Wen , Justin Dauwels

Path planning is usually solved by addressing either the (high-level) route planning problem (waypoint sequencing to achieve the final goal) or the (low-level) path planning problem (trajectory prediction between two waypoints avoiding…

机器人学 · 计算机科学 2026-04-21 Daniel Fuertes , Andrea Cavallaro , Carlos R. del-Blanco , Fernando Jaureguizar , Narciso García

Existing deep reinforcement learning (DRL) based methods for solving the capacitated vehicle routing problem (CVRP) intrinsically cope with homogeneous vehicle fleet, in which the fleet is assumed as repetitions of a single vehicle. Hence,…

机器学习 · 计算机科学 2022-03-08 Jingwen Li , Yining Ma , Ruize Gao , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

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

Reinforcement learning has recently shown promise in learning quality solutions in many combinatorial optimization problems. In particular, the attention-based encoder-decoder models show high effectiveness on various routing problems,…

最优化与控制 · 数学 2022-12-06 Aigerim Bogyrbayeva , Taehyun Yoon , Hanbum Ko , Sungbin Lim , Hyokun Yun , Changhyun Kwon

Deep learning has been extended to a number of new domains with critical success, though some traditional orienteering problems such as the Travelling Salesman Problem (TSP) and its variants are not commonly solved using such techniques.…

机器学习 · 计算机科学 2019-03-11 Wei Shao , Flora D. Salim , Jeffrey Chan , Sean Morrison , Fabio Zambetta

In this work, we consider learning-based applications in routing to solve a Vehicle Routing variant characterized by stochasticity and multiple objectives. Such problems are representative of practical settings where decision-makers have to…

机器学习 · 计算机科学 2025-12-02 Abdo Abouelrous , Laurens Bliek , Yaoxin Wu , Yingqian Zhang

The traditional Capacitated Vehicle Routing Problem (CVRP) minimizes the total distance of the routes under the capacity constraints of the vehicles. But more often, the objective involves multiple criteria including not only the total…

机器学习 · 计算机科学 2021-08-31 Jayanta Mandi , Rocsildes Canoy , Víctor Bucarey , Tias Guns

Over the past decade, neural network solvers powered by generative artificial intelligence have garnered significant attention in the domain of vehicle routing problems (VRPs), owing to their exceptional computational efficiency and…

机器学习 · 计算机科学 2026-03-10 Zhenwei Wang , Tiehua Zhang , Ning Xue , Ender Ozcan , Ling Wang , Ruibin Bai

Deep learning models for vision tasks are trained on large datasets under the assumption that there exists a universal representation that can be used to make predictions for all samples. Whereas high complexity models are proven to be…

计算机视觉与模式识别 · 计算机科学 2022-09-28 Botos Csaba , Adel Bibi , Yanwei Li , Philip Torr , Ser-Nam Lim

Many real-world vehicle routing problems involve rich sets of constraints with respect to the capacities of the vehicles, time windows for customers etc. While in recent years first machine learning models have been developed to solve basic…

机器学习 · 计算机科学 2020-06-17 Jonas K. Falkner , Lars Schmidt-Thieme

This study proposes an end-to-end framework for solving multi-objective optimization problems (MOPs) using Deep Reinforcement Learning (DRL), that we call DRL-MOA. The idea of decomposition is adopted to decompose the MOP into a set of…

神经与进化计算 · 计算机科学 2020-04-28 Kaiwen Li , Tao Zhang , Rui Wang

In this paper, we investigate the problem of fast spectrum sharing in vehicle-to-everything communication. In order to improve the spectrum efficiency of the whole system, the spectrum of vehicle-to-infrastructure links is reused by…

信息论 · 计算机科学 2023-10-02 Kai Huang , Le Liang , Shi Jin , Geoffrey Ye Li

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

This article explores the integration of deep learning models into combinatorial optimization pipelines, specifically targeting NP-hard problems. Traditional exact algorithms for such problems often rely on heuristic criteria to guide the…

机器学习 · 计算机科学 2026-04-28 Lorenzo Sciandra , Roberto Esposito , Andrea Cesare Grosso , Laura Sacerdote , Cristina Zucca

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…

机器学习 · 计算机科学 2020-02-11 Bo Peng , Jiahai Wang , Zizhen Zhang