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To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

The main contribution of this paper is the proof of the convexity of the omni-directional tethered robot workspace (namely, the set of all tether-length-admissible robot configurations), as well as a set of distance-optimal tethered path…

Robotics · Computer Science 2022-08-09 Tong Yang , Rong Xiong , Yue Wang

In this paper we consider the coverage control problem for a team of wire-traversing robots. The two-dimensional motion of robots moving in a planar environment has to be projected to one-dimensional manifolds representing the wires.…

Robotics · Computer Science 2018-02-27 Gennaro Notomista , Magnus Egerstedt

In this paper we study a multi-robot path planning problem for persistent monitoring of an environment. We represent the areas to be monitored as the vertices of a weighted graph. For each vertex, there is a constraint on the maximum time…

Robotics · Computer Science 2019-03-15 Ahmad Bilal Asghar , Stephen L. Smith , Shreyas Sundaram

Online coverage planning can be useful in applications like field monitoring and search and rescue. Without prior information of the environment, achieving resolution-complete coverage considering the non-holonomic mobility constraints in…

Robotics · Computer Science 2020-07-01 Xinyue Kan , Hanzhe Teng , Konstantinos Karydis

Recently, centralized receding horizon online multi-robot coverage path planning algorithms have shown remarkable scalability in thoroughly exploring large, complex, unknown workspaces with many robots. In a horizon, the path planning and…

Robotics · Computer Science 2025-07-30 Ratijit Mitra , Indranil Saha

Graph routing problems have been investigated extensively in operations research, computer science and engineering due to their ubiquity and vast applications. In this paper, we study constant approximation algorithms for some variations of…

Data Structures and Algorithms · Computer Science 2020-06-24 Xiaoyan Zhang , Donglei Du , Gregory Gutin , Qiaoxia Ming , Jian Sun

Building structures can allow a robot to surmount large obstacles, expanding the set of areas it can reach. This paper presents a planning algorithm to automatically determine what structures a construction-capable robot must build in order…

Robotics · Computer Science 2018-12-12 Tarik Tosun , Cynthia Sung , Colin McCloskey , Mark Yim

In this paper, we propose a deterministic algorithm that approximates the optimal path cover on weighted undirected graphs. Based on the 1/2-Approximation Path Cover Algorithm by Moran et al., we add a procedure to remove the redundant…

Numerical Analysis · Mathematics 2021-01-25 Junyuan Lin , Guangpeng Ren

Thanks to the rapid evolvement of robotic technologies, robot mowing is emerging to liberate humans from the tedious and time-consuming landscape work. Traditionally, robot mowing is perceived as a "Coverage Path Planning" problem, with a…

Robotics · Computer Science 2022-09-13 Zhaofeng Tian , Weisong Shi

Line coverage is to cover linear infrastructure modeled as 1D segments by robots, which received attention in recent years. With the increasing urbanization, the area of the city and the density of infrastructure continues to increase,…

Robotics · Computer Science 2023-02-23 Hangsong Su , Feng Xue , Runze Guo , Anlong Ming

In this paper, a novel approach is introduced which utilizes a Rapidly-exploring Random Graph to improve sampling-based autonomous exploration of unknown environments with unmanned ground vehicles compared to the current state of the art.…

Robotics · Computer Science 2021-09-15 Marco Steinbrink , Philipp Koch , Bernhard Jung , Stefan May

The line coverage problem involves finding efficient routes for the coverage of linear features by one or more resource-constrained robots. Linear features model environments like road networks, power lines, and oil and gas pipelines. Two…

Robotics · Computer Science 2024-01-02 Saurav Agarwal , Srinivas Akella

In this paper, we consider the problem of covering a plane region with unit discs. We present an improved upper bound and the first nontrivial lower bound on the number of discs needed for such a covering, depending on the area and…

Computational Geometry · Computer Science 2021-08-03 Shai Gul , Reuven Cohen , Simi Haber

In this paper, we investigate the problem of decomposing 2D environments for robot coverage planning. Coverage path planning (CPP) involves computing a cost-minimizing path for a robot equipped with a coverage or sensing tool so that the…

Robotics · Computer Science 2024-09-06 Megnath Ramesh , Frank Imeson , Baris Fidan , Stephen L. Smith

In this paper we present a method for automatically planning optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition system. The…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta , Daniela Rus

Matchings and coverings are central topics in graph theory. The close relationship between these two has been key to many fundamental algorithmic and polyhedral results. For mixed graphs, the notion of matching forest was proposed as a…

Combinatorics · Mathematics 2019-10-18 Tamás Király , Yu Yokoi

We introduce and study the Joint Task Assistance Planning problem which generalizes prior work on optimizing assistance in robotic collaboration. In this setting, two robots operate over predefined roadmaps, each represented as a graph…

Robotics · Computer Science 2026-02-25 Omer Daube , Oren Salzman

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

In this paper we analyze a continuous version of the maximal covering location problem, in which the facilities are required to be interconnected by means of a graph structure in which two facilities are allowed to be linked if a given…

Optimization and Control · Mathematics 2020-05-08 Víctor Blanco , Ricardo Gázquez