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In this paper, we propose an optimization framework for cooperative merging of platoons of connected and automated vehicles at highway on-ramps. The framework includes (1) an optimal scheduling algorithm, through which, each platoon derives…

Optimization and Control · Mathematics 2021-08-03 Sharmila Devi Kumaravel , Andreas A. Malikopoulos , Ramakalyan Ayyagari

In this paper, we introduce a hierarchical decision-making framework for emerging mobility systems. Despite numerous studies focusing on optimizing vehicle flow, practical feasibility has often been overlooked. To address this gap, we…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Heeseung Bang , Andreas A. Malikopoulos

Multi-agent path planning (MAPP) in continuous spaces is a challenging problem with significant practical importance. One promising approach is to first construct graphs approximating the spaces, called roadmaps, and then apply multi-agent…

Multiagent Systems · Computer Science 2022-01-25 Keisuke Okumura , Ryo Yonetani , Mai Nishimura , Asako Kanezaki

The Expectation Maximization (EM) algorithm is the default algorithm for inference in latent variable models. As in any other field of machine learning, applications of latent variable models to very large datasets make the use of advanced…

Optimization and Control · Mathematics 2021-11-11 Aymeric Dieuleveut , Gersende Fort , Eric Moulines , Geneviève Robin

The time-fractional optimal transport (OT) and mean-field planning (MFP) models are developed to describe the anomalous transport of the agents in a heterogeneous environment such that their densities are transported from the initial…

Optimization and Control · Mathematics 2023-09-06 Yiqun Li , Hong Wang , Wuchen Li

In this paper, we consider the problem of path finding for a set of homogeneous and autonomous agents navigating a previously unknown stochastic environment. In our problem setting, each agent attempts to maximize a given utility function…

Multiagent Systems · Computer Science 2022-12-06 Sheryl Paul , Jyotirmoy V. Deshmukh

Path planning in the multi-robot system refers to calculating a set of actions for each robot, which will move each robot to its goal without conflicting with other robots. Lately, the research topic has received significant attention for…

Robotics · Computer Science 2022-12-02 Jingchuan Chen , Wei Chen , Jing Li , Xiguang Wei , Wenzhe Tan , Zuo-Jun Max Shen , Hongbo Li

This paper presents a solution for the problem of optimal planning for a robot in a collaborative human-robot team, where the human supervisor is intermittently available to assist the robot in completing tasks more quickly. Specifically,…

Robotics · Computer Science 2023-07-11 Abhinav Dahiya , Stephen L. Smith

We propose an algorithm for solving the time-dependent shortest path problem in flow fields where the FIFO (first-in-first-out) assumption is violated. This problem variant is important for autonomous vehicles in the ocean, for example,…

Robotics · Computer Science 2019-09-06 James Ju Heon Lee , Chanyeol Yoo , Stuart Anstee , Robert Fitch

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

Robotics · Computer Science 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

Two mobile agents (robots) have to meet in an a priori unknown bounded terrain modeled as a polygon, possibly with polygonal obstacles. Agents are modeled as points, and each of them is equipped with a compass. Compasses of agents may be…

Computational Geometry · Computer Science 2015-05-14 Jurek Czyzowicz , David Ilcinkas , Arnaud Labourel , Andrzej Pelc

Path planning in dynamic environments remains a core challenge in robotics, especially as autonomous systems are deployed in unpredictable spaces such as warehouses and public roads. While algorithms like Fast Marching Tree (FMT$^{*}$)…

Robotics · Computer Science 2025-09-11 Soheil Espahbodini Nia

This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

Optimization and Control · Mathematics 2021-07-16 Danylo Malyuta , Behcet Acikmese

Real-time multi-target path planning is a key issue in the field of autonomous driving. Although multiple paths can be generated in real-time with polynomial curves, the generated paths are not flexible enough to deal with complex road…

Artificial Intelligence · Computer Science 2019-09-18 Hongtu Zhou , Xinneng Yang , Enwei Zhang , Junqiao Zhao , Lewen Cai , Chen Ye , Yan Wu

Safely interacting with other traffic participants is one of the core requirements for autonomous driving, especially in intersections and occlusions. Most existing approaches are designed for particular scenarios and require significant…

Robotics · Computer Science 2022-09-27 Yingbing Chen , Ren Xin , Jie Cheng , Qingwen Zhang , Xiaodong Mei , Ming Liu , Lujia Wang

This paper addresses the challenges of real-time, large-scale, and near-optimal multi-agent pathfinding (MAPF) through enhancements to the recently proposed LaCAM* algorithm. LaCAM* is a scalable search-based algorithm that guarantees the…

Artificial Intelligence · Computer Science 2024-01-23 Keisuke Okumura

High-speed multi-agent autonomous racing demands robust spatiotemporal planning and precise control under strict computational limits. Current methods often oversimplify interactions or abandon strict kinematic constraints. We resolve this…

Robotics · Computer Science 2026-03-11 Mingyi Zhang , Cheng Hu , Yiqin Wang , Haotong Qin , Hongye Su , Lei Xie

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

This paper proposes a novel methodology for trajectory planning in autonomous vehicles (AVs), addressing the complex challenge of negotiating speed bumps within a unified Mixed-Integer Quadratic Programming (MIQP) framework. By leveraging…

In this paper, we present an approach for solving the problem of moving $N$ homogeneous agents into $M \geq N$ goal locations along energy-minimizing trajectories. We propose a decentralized framework that only requires knowledge of the…

Optimization and Control · Mathematics 2020-07-16 Logan E. Beaver , Andreas A. Malikopoulos