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This paper considers trajectory planning for a mobile robot which persistently relays data between pairs of far-away communication nodes. Data accumulates stochastically at each source, and the robot must move to appropriate positions to…

Robotics · Computer Science 2022-08-24 Winston Hurst , Yasamin Mostofi

The graph exploration problem requires a group of mobile robots, initially placed arbitrarily on the nodes of a graph, to work collaboratively to explore the graph such that each node is eventually visited by at least one robot. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-15 Subhrangsu Mandal , Anisur Rahaman Molla , William K. Moses

A segment (barrier) is specified on the plane, as well as depots, where the mobile devices (drones) can be placed. Each drone departs from its depot to the barrier, moves along the barrier and returns to its depot, traveling a path of a…

Discrete Mathematics · Computer Science 2025-02-25 Adil Erzin , Anzhela Shadrina

We push the limit in planning collision-free motions for routing uniform labeled discs in two dimensions. First, from a theoretical perspective, we show that the constant-factor time-optimal routing of labeled discs can be achieved using a…

Robotics · Computer Science 2018-07-11 Rupesh Chinta , Shuai D. Han , Jingjin Yu

A fundamental task in mobile robotics is keeping an intelligent agent under surveillance with an autonomous robot as it travels in the environment. This work studies a theoretical version of that problem involving one of the most popular…

Robotics · Computer Science 2025-01-09 Ubaldo Ruiz

Dispersion by mobile agents is a well studied problem in the literature on computing by mobile robots. In this problem, $l$ robots placed arbitrarily on nodes of a network having $n$ nodes are asked to relocate themselves autonomously so…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Brati Mondal , Pritam Goswami , Buddhadeb Sau

A fundamental task in mobile robotics is to keep an agent under surveillance using an autonomous robotic platform equipped with a sensing device. Using differential game theory, we study a particular setup of the previous problem. A…

Robotics · Computer Science 2024-09-16 Rodrigo Saavedra , Ubaldo Ruiz

We consider the problem of exploring an anonymous unoriented ring of size $n$ by $k$ identical, oblivious, asynchronous mobile robots, that are unable to communicate, yet have the ability to sense their environment and take decisions based…

Data Structures and Algorithms · Computer Science 2015-05-14 Anissa Lamani , Maria Potop-Butucaru , Sébastien Tixeuil

Two cooperating, autonomous mobile robots with arbitrary nonzero max speeds are placed at arbitrary initial positions in the plane. A remotely detonated bomb is discovered at some source location and must be moved to a safe distance away…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-12 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

In this paper, we consider the problem of choosing disks (that we can think of as corresponding to wireless sensors) so that given a set of input points in the plane, there exists no path between any pair of these points that is not…

Computational Geometry · Computer Science 2011-05-20 Matt Gibson , Gaurav Kanade , Kasturi Varadarajan

We propose a new speed and departure time optimization algorithm for the Pollution-Routing Problem (PRP), which runs in quadratic time and returns a certified optimal schedule. This algorithm is embedded into an iterated local search-based…

Data Structures and Algorithms · Computer Science 2018-04-03 Raphael Kramer , Nelson Maculan , Anand Subramanian , Thibaut Vidal

We study the problem of allocating many mobile robots for the execution of a pre-defined sweep schedule in a known two-dimensional environment, with applications toward search and rescue, coverage, surveillance, monitoring, pursuit-evasion,…

Robotics · Computer Science 2023-02-13 Si Wei Feng , Teng Guo , Jingjin Yu

The mobile robot 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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

A linear algorithm is described for solving the n-Queens Completion problem for an arbitrary composition of k queens, consistently distributed on a chessboard of size n x n. Two important rules are used in the algorithm: a) the rule of…

Artificial Intelligence · Computer Science 2020-01-01 E. Grigoryan

As mobile service robots increasingly coexist with pedestrians, ensuring passively safe behaviour during confined emergency evacuations is critical. Existing multi-robot yielding strategies often focus solely on collision avoidance and…

Robotics · Computer Science 2026-05-18 Ning Zhou , Edmund R. Hunt , Nikolai W. F. Bode

Suppose that in a given planar circular region, there are some smart mobile evaders and we would like to find them using sweeping agents. We assume that each agent has a line sensor of length 2r. We propose procedures for designing…

Multiagent Systems · Computer Science 2020-05-05 Roee M. Francos , Alfred M. Bruckstein

Given a set of co-located mobile robots in an unknown anonymous graph, the robots must relocate themselves in distinct graph nodes to solve the dispersion problem. In this paper, we consider the dispersion problem for silent robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Bibhuti Das , Barun Gorain , Kaushik Mondal , Krishnendu Mukhopadhyaya , Supantha Pandit

We consider the following distributed service model: jobs with unit mean, general distribution, and independent processing times arrive as a renewal process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched to one of…

Probability · Mathematics 2018-07-10 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

We study the problem of deploying a fleet of mobile robots to service tasks that arrive stochastically over time and at random locations in an environment. This is known as the Dynamic Vehicle Routing Problem (DVRP) and requires robots to…

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