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Branch-price-and-cut algorithms play an important role in solving many vehicle routing problems (VRPs). Adding valid inequalities in this framework can impact the pricing subproblem, for which the literature distinguishes between 'robust'…

Optimization and Control · Mathematics 2025-08-20 Ymro N. Hoogendoorn , Kevin Dalmeijer

Heavy goods vehicles are vital backbones of the supply chain delivery system but also contribute significantly to carbon emissions with only 60% loading efficiency in the United Kingdom. Collaborative vehicle routing has been proposed as a…

Machine Learning · Computer Science 2024-06-12 Stefan Schoepf , Stephen Mak , Julian Senoner , Liming Xu , Netland Torbjörn , Alexandra Brintrup

Collaborative vehicle routing occurs when carriers collaborate through sharing their transportation requests and performing transportation requests on behalf of each other. This achieves economies of scale, thus reducing cost, greenhouse…

Machine Learning · Computer Science 2023-10-27 Stephen Mak , Liming Xu , Tim Pearce , Michael Ostroumov , Alexandra Brintrup

This thesis introduces stochastic generalized routing problem model and proposes exact and heuristic algorithms to solve it efficiently, in a wide range of problem sizes. At first, the classic routing problem with its common variations in…

Optimization and Control · Mathematics 2019-03-08 Faraz Dadgostari

Neural Combinatorial Optimization (NCO) has emerged as a promising approach for NP-hard problems. However, prevailing RL-based methods suffer from low sample efficiency due to sparse rewards and underused solutions. We propose Best-anchored…

Machine Learning · Computer Science 2025-06-03 Zijun Liao , Jinbiao Chen , Debing Wang , Zizhen Zhang , Jiahai Wang

There has never been a more exciting time for the future of quantum computing than now. Near-term quantum computing usage is now the next XPRIZE. With that challenge in mind we have explored a new approach as a hybrid quantum-classical…

Emerging Technologies · Computer Science 2024-04-23 James Holliday , Braeden Morgan , Hugh Churchill , Khoa Luu

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…

Machine Learning · Computer Science 2026-03-10 Zhenwei Wang , Tiehua Zhang , Ning Xue , Ender Ozcan , Ling Wang , Ruibin Bai

The article describes an investigation of the effectiveness of genetic algorithms for multi-objective combinatorial optimization (MOCO) by presenting an application for the vehicle routing problem with soft time windows. The work is…

Artificial Intelligence · Computer Science 2008-09-03 Martin Josef Geiger

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.…

Optimization and Control · Mathematics 2020-10-22 Muhammad Wildan Abdul Hakim , Syarifah Rosita Dewi , Yurio Windiatmoko , Umar Abdul Aziz

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…

Machine Learning · Computer Science 2020-06-17 Jonas K. Falkner , Lars Schmidt-Thieme

This paper presents a framework to tackle constrained combinatorial optimization problems using deep Reinforcement Learning (RL). To this end, we extend the Neural Combinatorial Optimization (NCO) theory in order to deal with constraints in…

Machine Learning · Computer Science 2020-06-23 Ruben Solozabal , Josu Ceberio , Martin Takáč

Over the past two decades, equity aspects have been considered in a growing number of models and methods for vehicle routing problems (VRPs). Equity concerns most often relate to fairly allocating workloads and to balancing the utilization…

Optimization and Control · Mathematics 2018-03-06 Piotr Matl , Richard F. Hartl , Thibaut Vidal

The worldwide growth of e-commerce has created new challenges for logistics companies, one of which is being able to deliver products quickly and at low cost, which reflects directly in the way of sorting packages, needing to eliminate…

This paper introduces a new set of large-scale benchmark instances for the Capacitated Vehicle Routing Problem (CVRP). The proposed XL set extends existing benchmarks by covering instances with 1,000 to 10,000 customers and a wide range of…

Optimization and Control · Mathematics 2026-01-19 Eduardo Queiroga , Rafael Martinelli , Anand Subramanian , Eduardo Uchoa , Thibaut Vidal

Unmanned aerial vehicles or drones are becoming increasingly popular due to their low cost and high mobility. In this paper we address the routing and coordination of a drone-truck pairing where the drone travels to multiple locations to…

Discrete Mathematics · Computer Science 2022-03-16 Fanruiqi Zeng , Zaiwei Chen , John-Paul Clarke , David Goldsman

Neural combinatorial optimization (NCO) is a promising learning-based approach for solving challenging combinatorial optimization problems without specialized algorithm design by experts. However, most constructive NCO methods cannot solve…

Machine Learning · Computer Science 2024-01-17 Fu Luo , Xi Lin , Fei Liu , Qingfu Zhang , Zhenkun Wang

Conventional control, such as model-based control, is commonly utilized in autonomous driving due to its efficiency and reliability. However, real-world autonomous driving contends with a multitude of diverse traffic scenarios that are…

Robotics · Computer Science 2024-03-08 Vindula Jayawardana , Sirui Li , Cathy Wu , Yashar Farid , Kentaro Oguchi

Model-based reinforcement learning (RL) algorithms allow us to combine model-generated data with those collected from interaction with the real system in order to alleviate the data efficiency problem in RL. However, designing such…

Machine Learning · Computer Science 2020-06-25 Yinlam Chow , Brandon Cui , MoonKyung Ryu , Mohammad Ghavamzadeh

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

Combinatorial optimization (CO) problems are traditionally addressed using Operations Research (OR) methods, including metaheuristics. In this study, we introduce a demand selection problem for the Vehicle Routing Problem (VRP) with an…

Data Structures and Algorithms · Computer Science 2025-05-27 Farid Najar , Dominique Barth , Yann Strozecki