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Suppose that a fence needs to be protected (perpetually) by $k$ mobile agents with maximum speeds $v_1,\ldots,v_k$ so that no point on the fence is left unattended for more than a given amount of time. The problem is to determine if this…

Data Structures and Algorithms · Computer Science 2014-01-25 Adrian Dumitrescu , Anirban Ghosh , Csaba D. Tóth

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

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

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

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 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

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 difference between the speed of the actions of different processes is typically considered as an obstacle that makes the achievement of cooperative goals more difficult. In this work, we aim to highlight potential benefits of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-15 Ofer Feinerman , Amos Korman , Shay Kutten , Yoav Rodeh

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

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 investigates multi-agent frequencybased patrolling of intersecting, circle graphs under conditions where graph nodes have non-uniform visitation requirements and agents have limited ability to communicate. The task is modeled as…

Multiagent Systems · Computer Science 2014-02-10 Tao Mao , Laura Ray

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

Consider a consensus-driven multi-agent dynamic system. The interaction range, which defines the set of neighbors for each agent, plays a key role in influencing connectivity of the underlying network. In this paper, we assume the system is…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Saad J Saleh

This paper focuses on two commonly used path assignment policies for agents traversing a congested network: self-interested routing, and system-optimum routing. In the self-interested routing policy each agent selects a path that optimizes…

Multiagent Systems · Computer Science 2017-09-28 Guni Sharon , Michael Albert , Tarun Rambha , Stephen Boyles , Peter Stone

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 2023-10-20 Jaime Arias , Carlos Olarte , Laure Petrucci , Łukasz Maśko , Wojciech Penczek , Teofil Sidoruk

In the symmetric rendezvous problem two players follow the same (randomized) strategy to visit one of $n$ locations in each time step $t=0,1,2,\dots$. Their goal is to minimize the expected time until they visit the same location and thus…

Optimization and Control · Mathematics 2026-04-03 Javier Cembrano , Felix Fischer , Max Klimm

Coordinating agents through hazardous environments, such as aid-delivering drones navigating conflict zones or field robots traversing deployment areas filled with obstacles, poses fundamental planning challenges. We introduce and analyze…

Computer Science and Game Theory · Computer Science 2026-03-20 Andrzej Kaczmarczyk , Šimon Schierreich , Nicholas Axel Tanujaya , Haifeng Xu

Here we consider the communications tactics appropriate for a group of agents that need to "swarm" together in a highly adversarial environment. Specfically, whilst they need to cooperate by exchanging information with each other about…

Multiagent Systems · Computer Science 2023-04-07 Paul Kinsler , Sean Holman , Andrew Elliott , Cathryn N. Mitchell , R. Eddie Wilson
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