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This paper addresses a synchronization problem that arises when a team of aerial robots (ARs) need to communicate while performing assigned tasks in a cooperative scenario. Each robot has a limited communication range and flies within a…

Robotics · Computer Science 2019-02-15 J. M. Díaz-Báñez , L. E. Caraballo , M. A. Lopez , S. Bereg , I. Maza , A. Ollero

The dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of the graph. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-05 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

We study the {\sc Uniform Circle Formation} ({\sc UCF}) problem for a swarm of $n$ autonomous mobile robots operating in \emph{Look-Compute-Move} (LCM) cycles on the Euclidean plane. We assume our robots are \emph{luminous}, i.e. embedded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-13 Caterina Feletti , Debasish Pattanayak , Gokarna Sharma

In this work, we explore emergent behaviors by swarms of anonymous, homogeneous, non-communicating, reactive robots that do not know their global position and have limited relative sensing. We introduce a novel method that enables such…

Robotics · Computer Science 2018-04-19 Mario Coppola , Jian Guo , Eberhard K. A. Gill , Guido C. H. E. de Croon

Recent advances in Distributed Computing highlight models and algorithms for autonomous swarms of mobile robots that self-organise and cooperate to solve global objectives. The overwhelming majority of works so far considers handmade…

Logic in Computer Science · Computer Science 2014-05-26 Pierre Courtieu , Lionel Rieg , Xavier Urbain , Sébastien Tixeuil

This work presents a framework for multi-robot tour guidance in a partially known environment with uncertainty, such as a museum. A simultaneous matching and routing problem (SMRP) is formulated to match the humans with robot guides…

Robotics · Computer Science 2023-09-28 Bo Fu , Tribhi Kathuria , Denise Rizzo , Matthew Castanier , X. Jessie Yang , Maani Ghaffari , Kira Barton

Consider the problem of planning collision-free motion of $n$ objects in the plane movable through contact with a robot that can autonomously translate in the plane and that can move a maximum of $m \leq n$ objects simultaneously. This…

Robotics · Computer Science 2018-11-09 Marilena Vendittelli , Jean-Paul Laumond , Bud Mishra

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

The classical multi-agent rendezvous problem asks for a deterministic algorithm by which $n$ points scattered in a plane can move about at constant speed and merge at a single point, assuming each point can use only the locations of the…

Multiagent Systems · Computer Science 2013-06-24 Peter Hegarty , Anders Martinsson , Dmitry Zhelezov

We consider the problem of scattering $n$ robots in a two dimensional continuous space. As this problem is impossible to solve in a deterministic manner, all solutions must be probabilistic. We investigate the amount of randomness (that is,…

Data Structures and Algorithms · Computer Science 2015-02-25 Quentin Bramas , Sébastien Tixeuil

We consider the problem of filling an unknown area represented by an arbitrary connected graph of $n$ vertices by mobile luminous robots. In this problem, the robots enter the graph one-by-one through a specific vertex, called the Door, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-13 Attila Hideg , Tamas Lukovszki

In the rendezvous problem, two computing entities (called \emph{agents}) located at different vertices in a graph have to meet at the same vertex. In this paper, we consider the synchronous \emph{neighborhood rendezvous problem}, where the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Ryota Eguchi , Naoki Kitamura , Taisuke Izumi

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

Robots are becoming an increasingly common part of scientific work within laboratory environments. In this paper, we investigate the problem of designing \emph{schedules} for completing a set of tasks at fixed locations with multiple robots…

Data Structures and Algorithms · Computer Science 2025-07-03 Duncan Adamson , Nathan Flaherty , Igor Potapov , Paul Spirakis

Decentralized control of robots has attracted huge research interests. However, some of the research used unrealistic assumptions without collision avoidance. This report focuses on the collision-free control for multiple robots in both…

Robotics · Computer Science 2017-09-19 Xiaotian Yang

In the gathering problem, n autonomous robots have to meet on a single point. We consider the gathering of a closed chain of point-shaped, anonymous robots on a grid. The robots only have local knowledge about a constant number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-21 Sebastian Abshoff , Andreas Cord-Landwehr , Daniel Jung , Friedhelm Meyer auf der Heide

The steady development of motor vehicle technology will enable cars of the near future to assume an ever increasing role in the decision making and control of the vehicle itself. In the foreseeable future, cars will have the ability to…

Computational Geometry · Computer Science 2015-05-06 Philip Dasler , David M. Mount

We consider the discrepancy problem of coloring $n$ intervals with $k$ colors such that at each point on the line, the maximal difference between the number of intervals of any two colors is minimal. Somewhat surprisingly, a coloring with…

Data Structures and Algorithms · Computer Science 2010-12-20 Antonios Antoniadis , Falk Hüffner , Pascal Lenzner , Carsten Moldenhauer , Alexander Souza

The problem of coordination without a priori information about the environment is important in robotics. Applications vary from formation control to search and rescue. This paper considers the problem of search by a group of solitary…

Robotics · Computer Science 2019-05-28 Jordan F. Masakuna , Simukai W. Utete , Steve Kroon

This paper investigates the online motion coordination problem for a group of mobile robots moving in a shared workspace, each of which is assigned a linear temporal logic specification. Based on the realistic assumptions that each robot is…

Robotics · Computer Science 2021-03-17 Pian Yu , Dimos V. Dimarogonas