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Deep neural networks based on reinforcement learning (RL) for solving combinatorial optimization (CO) problems are developing rapidly and have shown a tendency to approach or even outperform traditional solvers. However, existing methods…

Machine Learning · Computer Science 2024-05-24 Chaoyang Wang , Pengzhi Cheng , Jingze Li , Weiwei Sun

Quantum annealing (QA) is a quantum computing algorithm that works on the principle of Adiabatic Quantum Computation (AQC), and it has shown significant computational advantages in solving combinatorial optimization problems such as vehicle…

Optimization and Control · Mathematics 2020-05-28 Ramkumar Harikrishnakumar , Saideep Nannapaneni , Nam H. Nguyen , James E. Steck , Elizabeth C. Behrman

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,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Souad Abdoune , Menouar Boulif

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…

Quantum Physics · Physics 2025-05-08 Nishikanta Mohanty , Bikash K. Behera , Christopher Ferrie

Neural combinatorial optimization (NCO) aims at designing problem-independent and efficient neural network-based strategies for solving combinatorial problems. The field recently experienced growth by successfully adapting architectures…

Machine Learning · Computer Science 2020-11-13 Michal Lisicki , Arash Afkanpour , Graham W. Taylor

Single-stage neural combinatorial optimization solvers have achieved near-optimal results on various small-scale combinatorial optimization (CO) problems without requiring expert knowledge. However, these solvers exhibit significant…

Artificial Intelligence · Computer Science 2025-01-22 Zhi Zheng , Changliang Zhou , Tong Xialiang , Mingxuan Yuan , Zhenkun Wang

The development of connected autonomous vehicles (CAVs) facilitates the enhancement of traffic efficiency in complicated scenarios. In unsignalized roundabout scenarios, difficulties remain unsolved in developing an effective and efficient…

Robotics · Computer Science 2024-05-07 Zhenmin Huang , Haichao Liu , Shaojie Shen , Jun Ma

Efficient multi-robot task allocation (MRTA) is fundamental to various time-sensitive applications such as disaster response, warehouse operations, and construction. This paper tackles a particular class of these problems that we call…

Multiagent Systems · Computer Science 2023-08-21 Steve Paul , Wenyuan Li , Brian Smyth , Yuzhou Chen , Yulia Gel , Souma Chowdhury

In this research, we propose an iterative learning hybrid optimization solver developed to strengthen the performance of metaheuristic algorithms in solving the Capacitated Vehicle Routing Problem (CVRP). The iterative hybrid mechanism…

Artificial Intelligence · Computer Science 2025-08-13 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux , Daniele Vigo

Combinatorial Optimization (CO) encompasses a wide range of problems that arise in many real-world scenarios. While significant progress has been made in developing learning-based methods for specialized CO problems, a unified model with a…

Machine Learning · Computer Science 2025-05-13 Zefang Zong , Xiaochen Wei , Guozhen Zhang , Chen Gao , Huandong Wang , Yong Li

Vehicular edge computing (VEC) becomes a promising paradigm for the development of emerging intelligent transportation systems. Nevertheless, the limited resources and massive transmission demands bring great challenges on implementing…

Networking and Internet Architecture · Computer Science 2022-11-21 Xincao Xu , Kai Liu , Penglin Dai , Feiyu Jin , Hualing Ren , Choujun Zhan , Songtao Guo

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…

Machine Learning · Computer Science 2021-10-07 Jingwen Li , Liang Xin , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

The Hierarchical Directed Capacitated Arc Routing Problem (HDCARP) is an extension of the Capacitated Arc Routing Problem (CARP), where the arcs of a graph are divided into classes based on their priority. The traversal of these classes is…

Machine Learning · Computer Science 2025-01-03 Van Quang Nguyen , Quoc Chuong Nguyen , Thu Huong Dang , Truong-Son Hy

We propose a feature-based guidance mechanism to enhance metaheuristic algorithms for solving the Capacitated Vehicle Routing Problem (CVRP). This mechanism leverages an Explainable AI (XAI) model to identify features that correlate with…

Artificial Intelligence · Computer Science 2025-12-23 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux

Combinatorial Optimization (CO) has been a long-standing challenging research topic featured by its NP-hard nature. Traditionally such problems are approximately solved with heuristic algorithms which are usually fast but may sacrifice the…

Machine Learning · Computer Science 2021-10-26 Runzhong Wang , Zhigang Hua , Gan Liu , Jiayi Zhang , Junchi Yan , Feng Qi , Shuang Yang , Jun Zhou , Xiaokang Yang

Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

Artificial Intelligence · Computer Science 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

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…

Artificial Intelligence · Computer Science 2025-08-11 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux

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

Achieving both safety guarantees and real-time performance in cooperative vehicle coordination remains a fundamental challenge, particularly in dynamic and uncertain environments. Existing methods often suffer from insufficient uncertainty…

Robotics · Computer Science 2026-04-20 Haojie Bai , Tingting Zhang , Cong Guo , Yang Wang , Xiongwei Zhao , Hai Zhu

Recent deep models for solving routing problems always assume a single distribution of nodes for training, which severely impairs their cross-distribution generalization ability. In this paper, we exploit group distributionally robust…

Machine Learning · Computer Science 2022-02-16 Yuan Jiang , Yaoxin Wu , Zhiguang Cao , Jie Zhang