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Coverage control has been widely used for constructing mobile sensor network such as for environmental monitoring, and one of the most commonly used methods is the Lloyd algorithm based on Voronoi partitions. However, when this method is…

Robotics · Computer Science 2021-04-29 Kazuki Shibata , Tatsuya Miyano , Tomohiko Jimbo

The problem of adversarial multi-robot patrol has gained interest in recent years, mainly due to its immediate relevance to various security applications. In this problem, robots are required to repeatedly visit a target area in a way that…

Multiagent Systems · Computer Science 2014-01-17 Noa Agmon , Gal A. Kaminka , Sarit Kraus

Cooperation between mobile robots and wireless sensor networks is a line of research that is currently attracting a lot of attention. In this context, we study the following problem of barrier coverage by stationary wireless sensors that…

Data Structures and Algorithms · Computer Science 2014-10-27 J. Czyzowicz , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny

The subject of this work is the patrolling of an environment with the aid of a team of autonomous agents. We consider both the design of open-loop trajectories with optimal properties, and of distributed control laws converging to optimal…

Combinatorics · Mathematics 2015-03-17 Fabio Pasqualetti , Antonio Franchi , Francesco Bullo

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

This paper develops an algorithm that guides a multi-robot system in an unknown environment in search of fixed targets. The area to be scanned contains an unknown number of convex obstacles of unknown size and shape. The algorithm covers…

Robotics · Computer Science 2012-02-13 Jonathan Rogge , Dirk Aeyels

We consider a perimeter defense problem in a rooted full tree graph environment in which a single defending vehicle seeks to defend a set of specified vertices, termed as the perimeter from mobile intruders that enter the environment…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Richard L. Frost , Shaunak D. Bopardikar

Efficient motion planning algorithms are of central importance for deploying robots in the real world. Unfortunately, these algorithms often drastically reduce the dimensionality of the problem for the sake of feasibility, thereby foregoing…

Robotics · Computer Science 2022-12-02 Alex Beaudin , Hsiu-Chin Lin

For the task of moving a set of indistinguishable agents on a connected graph with unit edge distance to an arbitrary set of goal vertices, free of collisions, we propose a fast distance optimal control algorithm that guides the agents into…

Systems and Control · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

We study the algorithmic problem of optimally covering a tree with $k$ mobile robots. The tree is known to all robots, and our goal is to assign a walk to each robot in such a way that the union of these walks covers the whole tree. We…

In this paper, we consider the problem of planning a path for a robot to monitor a known set of features of interest in an environment. We represent the environment as a graph with vertex weights and edge lengths. The vertices represent…

Data Structures and Algorithms · Computer Science 2012-10-17 Soroush Alamdari , Elaheh Fata , Stephen L. Smith

We consider a perimeter defense problem in which a single vehicle seeks to defend a compact region from intruders in a one-dimensional environment parameterized by the perimeter size and the intruder-to-vehicle speed ratio. The intruders…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Shivam Bajaj , Eric Torng , Shaunak D. Bopardikar

We present a 4-approximation algorithm for the problem of placing a fewest guards on a 1.5D terrain so that every point of the terrain is seen by at least one guard. This improves on the currently best approximation factor of 5. Our method…

Computational Geometry · Computer Science 2008-09-02 K. Elbassioni , D. Matijevic , J. Mestre , D. Severdija

The fundamental goal assignment problem for a multi-robot application aims to assign a unique goal to each robot while ensuring collision-free paths, minimizing the total movement cost. A plausible algorithmic solution to this NP-hard…

Multiagent Systems · Computer Science 2024-02-22 Aakash , Indranil Saha

In this paper, we revisit the distributed coverage control problem with multiple robots on both metric graphs and in non-convex continuous environments. Traditionally, the solutions provided for this problem converge to a locally optimal…

Multiagent Systems · Computer Science 2020-05-07 Armin Sadeghi , Ahmad Bilal Asghar , Stephen L. Smith

Patrolling consists of scheduling perpetual movements of a collection of mobile robots, so that each point of the environment is regularly revisited by any robot in the collection. In previous research, it was assumed that all points of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Huda Chuangpishit , Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Tomasz Jurdzinski , Evangelos Kranakis

A robotic network is a system with multiple robots connected by a communication network. Certain tasks that cannot be accomplished with available robotic resources are candidates for the use of cloud robotics, which overcomes the…

Robotics · Computer Science 2022-05-30 Saeid Alirezazadeh , André Correia , Luís A. Alexandre

We consider the problem of finding patrol schedules for $k$ robots to visit a given set of $n$ sites in a metric space. Each robot has the same maximum speed and the goal is to minimize the weighted maximum latency of any site, where the…

Data Structures and Algorithms · Computer Science 2020-07-15 Peyman Afshani , Mark De Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

The effectiveness of a robot manipulation to a large extent is determined by the speed of making this or that movement needed for carrying out the task. Accordingly to this the problem of optimal robot control is often subdivided into two…

Optimization and Control · Mathematics 2018-01-24 Oleg Malafeyev

We study the problem of tracking multiple moving targets using a team of mobile robots. Each robot has a set of motion primitives to choose from in order to collectively maximize the number of targets tracked or the total quality of…

Robotics · Computer Science 2019-05-31 Yoonchang Sung , Ashish Kumar Budhiraja , Ryan K. Williams , Pratap Tokekar