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This study investigates the use of global control strategies to enhance the directed migration of swarms of interacting self-propelled particles confined in a channel. Uncontrolled dynamics naturally leads to wall accumulation, clogging,…

Soft Condensed Matter · Physics 2025-12-03 Chiara Calascibetta , Laëtitia Giraldi , Jérémie Bec

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

Statistical Mechanics · Physics 2016-04-26 David A. Quint , Ajay Gopinathan

In the coordinated motion planning problem, we are given a graph together with the starting and destination vertices of $k$ robots. At each time step, any subset of robots may move, each traversing an edge of the graph, provided that no two…

Data Structures and Algorithms · Computer Science 2026-05-11 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Iyad Kanj

In this paper, we consider the partial gathering problem of mobile agents in asynchronous unidirectional rings equipped with whiteboards on nodes. The partial gathering problem is a new generalization of the total gathering problem. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-11 Masahiro Shibata , Shinji Kawai , Fukuhito Ooshita , Hirotsugu Kakugawa , Toshimitsu Masuzawa

Consider a set of $n$ simple autonomous mobile robots (asynchronous, no common coordinate system, no identities, no central coordination, no direct communication, no memory of the past, non-rigid, deterministic) initially in distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Paola Flocchini , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

We present a number of breakthroughs for coordinated motion planning, in which the objective is to reconfigure a swarm of labeled convex objects by a combination of parallel, continuous, collision-free translations into a given target…

Computational Geometry · Computer Science 2018-01-08 Erik D. Demaine , Sándor P. Fekete , Phillip Keldenich , Henk Meijer , Christian Scheffer

There is a belief that complexity and chaos are essential for adaptability. But life deals with complexity every moment, without the chaos that engineers fear so, by invoking goal-directed behaviour. Goals can be programmed. That is why…

Robotics · Computer Science 2007-05-23 Olga Bogatyreva , Alexandr Shillerov

Robust localization in a given map is a crucial component of most autonomous robots. In this paper, we address the problem of localizing in an indoor environment that changes and where prominent structures have no correspondence in the map…

A great number of robotics applications demand the rearrangement of many mobile objects, e.g., organizing products on shelves, shuffling containers at shipping ports, reconfiguring fleets of mobile robots, and so on. To boost the throughput…

Robotics · Computer Science 2023-01-18 Mario Szegedy , Jingjin Yu

We study a generalized motion planning problem involving multiple autonomous robots navigating in a $d$-dimensional Euclidean space in the presence of a set of obstacles whose positions are unknown a priori. Each robot is required to visit…

Algebraic Topology · Mathematics 2025-10-13 Gopal Chandra Dutta , Amit Kumar Paul , Subhankar Sau

We investigate the reconfiguration of $n$ blocks, or "tokens", in the square grid using "line pushes". A line push is performed from one of the four cardinal directions and pushes all tokens that are maximum in that direction to the…

Combinatorics · Mathematics 2023-10-16 Hugo A. Akitaya , Maarten Löffler , Giovanni Viglietta

Microrobotics has the potential to revolutionize many applications including targeted material delivery, assembly, and surgery. The same properties that promise breakthrough solutions---small size and large populations---present unique…

Robotics · Computer Science 2017-06-08 Shiva Shahrokhi , Lillian Lin , Chris Ertel , Mable Wan , Aaron T. Becker

In the problem of multi-robot motion planning, a group of robots, placed in a polygonal domain with obstacles, must be moved from their starting positions to a set of target positions. We consider the specific case of unlabeled disc robots…

Computational Geometry · Computer Science 2020-04-28 Thomas Brocken , G. Wessel van der Heijden , Irina Kostitsyna , Lloyd E. Lo-Wong , Remco J. A. Surtel

Physically disentangling entangled objects from each other is a problem encountered in waste segregation or in any task that requires disassembly of structures. Often there are no object models, and, especially with cluttered irregularly…

Robotics · Computer Science 2021-04-13 Joni Pajarinen , Oleg Arenz , Jan Peters , Gerhard Neumann

We consider the following variant of the two dimensional gathering problem for swarms of robots: Given a swarm of $n$ indistinguishable, point shaped robots on a two dimensional grid. Initially, the robots form a closed chain on the grid…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Sebastian Abshoff , Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

We consider optimal swarm control problems where two different classes of agents are present. Continuum idealizations of large-scale swarms are used where the dynamics describe the evolution of the spatially-distributed densities of each…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Max Emerick , Stacy Patterson , Bassam Bamieh

Shape formation is a basic distributed problem for systems of computational mobile entities. Intensively studied for systems of autonomous mobile robots, it has recently been investigated in the realm of programmable matter. Namely, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Yukiko Yamauchi

Imagine coating buildings and bridges with smart particles (also coined smart paint) that monitor structural integrity and sense and report on traffic and wind loads, leading to technology that could do such inspection jobs faster and…

We present a unified approach for constraint displacement problems in which a robot finds a feasible path by displacing constraints or obstacles. To this end, we propose a two stage process that returns locally optimal obstacle…

Robotics · Computer Science 2025-11-18 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto