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We study a variant of pursuit-evasion game in the context of perimeter defense. In this problem, the intruder aims to reach the base plane of a hemisphere without being captured by the defender, while the defender tries to capture the…

Robotics · Computer Science 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

We introduce a variant of the deterministic rendezvous problem for a pair of heterogeneous agents operating in an undirected graph, which differ in the time they require to traverse particular edges of the graph. Each agent knows the…

Data Structures and Algorithms · Computer Science 2014-06-10 Dariusz Dereniowski , Ralf Klasing , Adrian Kosowski , Łukasz Kuszner

Suppose one wants to monitor a domain with sensors, each sensing a small ball-shaped region, but the domain is hazardous enough that one cannot control the placement of the sensors. A prohibitively large number of randomly placed sensors…

Dynamical Systems · Mathematics 2024-08-12 Henry Adams , Deepjyoti Ghosh , Clark Mask , William Ott , Kyle Williams

We consider a search problem on a $2$-dimensional infinite grid with a single mobile agent. The goal of the agent is to find her way home, which is located in a grid cell chosen by an adversary. Initially, the agent is provided with an…

Discrete Mathematics · Computer Science 2019-07-16 Anders Martinsson , Jara Uitto

We consider the problem of collectively delivering some message from a specified source to a designated target location in a graph, using multiple mobile agents. Each agent has a limited energy which constrains the distance it can move.…

Data Structures and Algorithms · Computer Science 2020-08-27 Andreas Bärtschi , Jérémie Chalopin , Shantanu Das , Yann Disser , Barbara Geissmann , Daniel Graf , Arnaud Labourel , Matúš Mihalák

We study a distributed coordination mechanism for uniform agents located on a circle. The agents perform their actions in synchronised rounds. At the beginning of each round an agent chooses the direction of its movement from clockwise,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-28 Leszek Gasieniec , Tomasz Jurdzinski , Russell Martin , Grzegorz Stachowiak

The security issue of mobile robots has attracted considerable attention in recent years. In this paper, we propose an intelligent physical attack to trap mobile robots into a preset position by learning the obstacle-avoidance mechanism…

Robotics · Computer Science 2022-08-23 Yushan Li , Jianping He , Cailian Chen , Xinping Guan

We study the deployment of a first-order multi-agent system over a desired smooth curve in 3D space. We assume that the agents have access to the local information of the desired curve and their displacements with respect to their closest…

Optimization and Control · Mathematics 2019-03-25 Jieqiang Wei , Emilia Fridman , Anton Selivanov , Karl H. Johansson

Deploying a safe mobile robot policy in scenarios with human pedestrians is challenging due to their unpredictable movements. Current Reinforcement Learning-based motion planners rely on a single policy to simulate pedestrian movements and…

Robotics · Computer Science 2024-10-17 Wen Zheng Terence Ng , Jianda Chen , Sinno Jialin Pan , Tianwei Zhang

We consider the dispersion problem for mobile agents. Initially, k agents are located at arbitrary nodes in an undirected graph. Agents can migrate from node to node via an edge in the graph synchronously. Our goal is to let the k agents be…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-24 Takahiro Shintaku , Yuichi Sudo , Hirotsugu Kakugawa , Toshimitsu Masuzawa

In the Multiagent Path Finding problem (MAPF for short), we focus on efficiently finding non-colliding paths for a set of $k$ agents on a given graph $G$, where each agent seeks a path from its source vertex to a target. An important…

Computational Complexity · Computer Science 2023-12-18 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

In this paper, we revisit the problem of classical \textit{meeting times} of random walks in graphs. In the process that two tokens (called agents) perform random walks on an undirected graph, the meeting times are defined as the expected…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Ryota Eguchi , Fukuhito Ooshita , Michiko Inoue , Sébastien Tixeuil

Several mobile agents, modelled as deterministic automata, navigate in an infinite line in synchronous rounds. All agents start in the same round. In each round, an agent can move to one of the two neighboring nodes, or stay idle. Agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Younan Gao , Andrzej Pelc

Assume that $m \geq 1$ autonomous mobile agents and $0 \leq b \leq m$ single-agent transportation devices (called {\em bikes}) are initially placed at the left endpoint $0$ of the unit interval $[0,1]$. The agents are identical in…

Data Structures and Algorithms · Computer Science 2020-06-25 Jurek Czyzowicz , Konstantinos Georgiou , Ryan Killick , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Denis Pankratov

In this paper, we investigate the distributed shortest distance optimization problem for a multi-agent network to cooperatively minimize the sum of the quadratic distances from some convex sets, where each set is only associated with one…

Systems and Control · Computer Science 2016-02-04 Youcheng Lou , Yiguang Hong , Shouyang Wang

We present results on new variants of the famous linear search (or cow-path) problem that involves an agent searching for a target with unknown position on the infinite line. We consider the variant where the agent can move either at speed…

Discrete Mathematics · Computer Science 2025-05-15 Jared Coleman , Oscar Morales-Ponce

Recent advances in robotics have enabled the widespread deployment of autonomous robotic systems in complex operational environments, presenting both unprecedented opportunities and significant security problems. Traditional shepherding…

Robotics · Computer Science 2025-09-11 Wenqing Wang , Ye Zhang , Haoyu Li , Jingyu Wang

Time-optimal obstacle avoidance is a prevalent problem encountered in various fields, including robotics and autonomous vehicles, where the task involves determining a path for a moving vehicle to reach its goal while navigating around…

Robotics · Computer Science 2024-03-21 Mehmetcan Kaymaz , Nazim Kemal Ure

Opacity is a property of privacy and security applications asking whether, given a system model, a passive intruder that makes online observations of system's behaviour can ascertain some "secret" information of the system. Deciding opacity…

Formal Languages and Automata Theory · Computer Science 2023-04-21 Jiří Balun , Tomáš Masopust , Petr Osička

We study multi-agent coverage algorithms for autonomous monitoring and patrol in urban environments. We consider scenarios in which a team of flying agents uses downward facing cameras (or similar sensors) to observe the environment outside…

Robotics · Computer Science 2020-08-18 Shivang Patel , Senthil Hariharan , Pranav Dhulipala , Ming C Lin , Dinesh Manocha , Huan Xu , Michael Otte