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Related papers: On Fence Patrolling by Mobile Agents

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Suppose we want to patrol a fence (line segment) using k mobile agents with given speeds v_1, ..., v_k so that every point on the fence is visited by an agent at least once in every unit time period. Czyzowicz et al. conjectured that the…

Computational Geometry · Computer Science 2014-08-21 Akitoshi Kawamura , Yusuke Kobayashi

Suppose that a set of mobile agents, each with a predefined maximum speed, want to patrol a fence together so as to minimize the longest time interval during which a point on the fence is left unvisited. In 2011, Czyzowicz, G\k{a}sieniec,…

Data Structures and Algorithms · Computer Science 2021-01-20 Akitoshi Kawamura , Makoto Soejima

A classical multi-agent fence patrolling problem asks: What is the maximum length $L$ of a line that $k$ agents with maximum speeds $v_1,\ldots,v_k$ can patrol if each point on the line needs to be visited at least once every unit of time.…

Data Structures and Algorithms · Computer Science 2019-06-14 Bernhard Haeupler , Fabian Kuhn , Anders Martinsson , Kalina Petrova , Pascal Pfister

We study the problem of patrolling the nodes of a network collaboratively by a team of mobile agents, such that each node of the network is visited by at least one agent once in every $I(n)$ time units, with the objective of minimizing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Shantanu Das , Giuseppe Antonio Di Luna , Leszek A. Gasieniec

A defender dispatches patrollers to circumambulate a perimeter to guard against potential attacks. The defender decides on the time points to dispatch patrollers and each patroller's direction and speed, as long as the long-run rate…

Optimization and Control · Mathematics 2020-11-10 Kyle Y Lin

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

We consider a perimeter defense problem in a planar conical environment comprising a single turret that has a finite range and non-zero service time. The turret seeks to defend a concentric perimeter against $N\geq 2$ intruders. Upon…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Shivam Bajaj , Shaunak D. Bopardikar , Alexander Von Moll , Eric Torng , David W. Casbeer

We investigate the problem of monitoring multiple targets using a single mobile sensor, with the goal of minimizing the maximum estimation error among all the targets over long time horizons. The sensor can move in a network-constrained…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

Consider a region that requires to be protected from unauthorized penetrations. The border of the region, modeled as a unit line segment, consists of high priority segments that require the highest level of protection separated by low…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-04 Oscar Morales-Ponce

We address a problem of area protection in graph-based scenarios with multiple mobile agents where connectivity is maintained among agents to ensure they can communicate. The problem consists of two adversarial teams of agents that move in…

Multiagent Systems · Computer Science 2017-09-06 Marika Ivanová , Pavel Surynek , Diep Thi Ngoc Nguyen

The multi-agent patrol problem refers to repeatedly visiting different locations in an environment using multiple autonomous agents. For over two decades, researchers have studied this problem in various settings. While providing valuable…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Deepak Mallya , Arpita Sinha , Leena Vachhani

We consider the problem of efficient patrolling strategy adaptation in a changing environment where the topology of Defender's moves and the importance of guarded targets change unpredictably. The Defender must instantly switch to a new…

Multiagent Systems · Computer Science 2022-06-17 Tomáš Brázdil , David Klaška , Antonín Kučera , Vít Musil , Petr Novotný , Vojtěch Řehák

We investigate the problem of optimally observing a finite set of targets using a mobile agent over an infinite time horizon. The agent is tasked to move in a network-constrained structure to gather information so as to minimize the…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Samuel C. Pinto , Shirantha Welikala , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

Expressing attack-defence trees in a multi-agent setting allows for studying a new aspect of security scenarios, namely how the number of agents and their task assignment impact the performance, e.g. attack time, of strategies executed by…

Multiagent Systems · Computer Science 2022-05-02 Jaime Arias , Łukasz Maśko , Wojciech Penczek , Laure Petrucci , Teofil Sidoruk

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

This paper studies the problem of defending (1D and 2D) boundaries against a large number of continuous attacks with a heterogeneous group of defenders. The defender team has perfect information of the attack events within some time (finite…

Robotics · Computer Science 2023-02-21 Si Wei Feng , Jingjin Yu

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

Data Structures and Algorithms · Computer Science 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou

When securing complex infrastructures or large environments, constant surveillance of every area is not affordable. To cope with this issue, a common countermeasure is the usage of cheap but wide-ranged sensors, able to detect suspicious…

Artificial Intelligence · Computer Science 2015-06-10 Nicola Basilico , Giuseppe De Nittis , Nicola Gatti

We propose an algorithm for constructing efficient patrolling strategies in the Internet environment, where the protected targets are nodes connected to the network and the patrollers are software agents capable of detecting/preventing…

Artificial Intelligence · Computer Science 2018-05-11 Tomáš Brázdil , Antonín Kučera , Vojtěch Řehák

We investigate the problem of optimally assigning a large number of robots (or other types of autonomous agents) to guard the perimeters of closed 2D regions, where the perimeter of each region to be guarded may contain multiple disjoint…

Robotics · Computer Science 2019-05-14 Si Wei Feng , Shuai D. Han , Kai Gao , Jingjin Yu
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