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Large language models (LLMs) and agent-based frameworks have advanced rapidly, enabling diverse applications. Yet, with the proliferation of models and agentic strategies, practitioners face substantial uncertainty in selecting the best…

Computation and Language · Computer Science 2025-10-08 Zheyuan Zhang , Kaiwen Shi , Zhengqing Yuan , Zehong Wang , Tianyi Ma , Keerthiram Murugesan , Vincent Galassi , Chuxu Zhang , Yanfang Ye

In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control problems. Our approach leverages offline training on data…

Optimization and Control · Mathematics 2025-11-20 Gage MacLin , Venanzio Cichella , Andrew Patterson , Irene Gregory

For NP-hard combinatorial optimization problems, it is usually difficult to find high-quality solutions in polynomial time. The design of either an exact algorithm or an approximate algorithm for these problems often requires significantly…

Machine Learning · Computer Science 2021-05-07 Kun Lei , Peng Guo , Yi Wang , Xiao Wu , Wenchao Zhao

The Vehicle Routing Problem (VRP) is a widely studied combinatorial optimization problem and has been applied to various practical problems. While the explainability for VRP is significant for improving the reliability and interactivity in…

Machine Learning · Computer Science 2025-10-10 Daisuke Kikuta , Hiroki Ikeuchi , Kengo Tajiri , Yuusuke Nakano

Multi-robot systems are integral to modern logistics, but their capabilities are often limited to tasks executable by individual agents. This paper addresses a critical gap in existing frameworks like Multi-Agent Path Finding (MAPF) and…

Multiagent Systems · Computer Science 2026-05-18 Ning Zhou , Nikolai W. F. Bode , Edmund R. Hunt

Manually specifying features that capture the diversity in traffic environments is impractical. Consequently, learning-based agents cannot realize their full potential as neural motion planners for autonomous vehicles. Instead, this work…

Machine Learning · Computer Science 2023-03-09 Eivind Meyer , Lars Frederik Peiss , Matthias Althoff

This paper presents a distributed, optimal, communication-aware trajectory planning algorithm for multi-robot systems. Building on prior work, it addresses the multi-robot communication-aware trajectory planning problem using a general…

Robotics · Computer Science 2024-08-12 Jeppe Heini Mikkelsen , Roberto Galeazzi , Matteo Fumagalli

The traveling officer problem (TOP) is a challenging stochastic optimization task. In this problem, a parking officer is guided through a city equipped with parking sensors to fine as many parking offenders as possible. A major challenge in…

Machine Learning · Computer Science 2024-01-12 Niklas Strauß , Matthias Schubert

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…

Machine Learning · Computer Science 2022-09-14 Rongkai Zhang , Cong Zhang , Zhiguang Cao , Wen Song , Puay Siew Tan , Jie Zhang , Bihan Wen , Justin Dauwels

We define a new problem called the Vehicle Scheduling Problem (VSP). The goal is to minimize an objective function, such as the number of tardy vehicles over a transportation network subject to maintaining safety distances, meeting hard…

Robotics · Computer Science 2020-01-28 Mirmojtaba Gharibi , Steven L. Waslander , Raouf Boutaba

We study the iterative refinement of path planning for multiple robots, known as multi-agent pathfinding (MAPF). Given a graph, agents, their initial locations, and destinations, a solution of MAPF is a set of paths without collisions.…

Robotics · Computer Science 2022-02-15 Keisuke Okumura , Yasumasa Tamura , Xavier Defago

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…

Machine Learning · Computer Science 2025-10-13 Shiyan Liu , Bohan Tan , Zhiguang Cao , Yan Jin

In multi-agent applications such as surveillance and logistics, fleets of mobile agents are often expected to coordinate and safely visit a large number of goal locations as efficiently as possible. The multi-agent planning problem in these…

Robotics · Computer Science 2021-11-09 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Given a multi-agent linear system, we formalize and solve a trajectory optimization problem that encapsulates trajectory tracking, distance-based formation control and input energy minimization. To this end, a numerical projection operator…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese , John Hauser

In cooperative pathfinding problems, no-conflicts paths that bring several agents from their start location to their destination need to be planned. This problem can be efficiently solved by Multi-agent RRT*(MA-RRT*) algorithm, which is…

Multiagent Systems · Computer Science 2020-03-05 Jinmingwu Jiang , Kaigui Wu

The traveling salesman problem is a fundamental combinatorial optimization problem with strong exact algorithms. However, as problems scale up, these exact algorithms fail to provide a solution in a reasonable time. To resolve this, current…

Machine Learning · Computer Science 2025-01-09 Yong Liang Goh , Wee Sun Lee , Xavier Bresson , Thomas Laurent , Nicholas Lim

We consider planning problems, that often arise in autonomous driving applications, in which an agent should decide on immediate actions so as to optimize a long term objective. For example, when a car tries to merge in a roundabout it…

Machine Learning · Computer Science 2016-02-05 Shai Shalev-Shwartz , Nir Ben-Zrihem , Aviad Cohen , Amnon Shashua

Predicting future locations of agents in the scene is an important problem in self-driving. In recent years, there has been a significant progress in representing the scene and the agents in it. The interactions of agents with the scene and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-04 Görkay Aydemir , Adil Kaan Akan , Fatma Güney

Differential-driven wheeled robots (DWR) represent the quintessential type of mobile robots and find extensive appli- cations across the robotic field. Most high-performance control approaches for DWR explicitly utilize the linear and…

Robotics · Computer Science 2025-11-18 Yong Li , Yujun Huang , Yi Chen , Hui Cheng

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus