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The determination of time-dependent collision-free shortest paths has received a fair amount of attention. Here, we study the problem of computing a time-dependent shortest path among growing discs which has been previously studied for the…

Data Structures and Algorithms · Computer Science 2018-08-07 Anil Maheshwari , Arash Nouri , Jörg-Rüdiger Sack

We consider the problem of searching for an intruder in a geometric domain by utilizing multiple search robots. The domain is a simply connected orthogonal polygon with edges parallel to the cartesian coordinate axes. Each robot has a…

Robotics · Computer Science 2025-11-06 Swadhin Agrawal , Sujoy Bhore , Joseph S. B. Mitchell , P. B. Sujit , Aayush Gohil

To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

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

This paper introduces a multirobot cooperation approach to solve the "pursuit evasion" problem for mobile robots that have omnidirectional vision sensors. The main characteristic of this approach is to implement a real cooperation between…

Artificial Intelligence · Computer Science 2018-10-22 Damien Pellier , Humbert Fiorino

Exit paths in buildings are designed to minimise evacuation time when the building is at full capacity. We present an evacuation support system which does this regardless of the number of evacuees. The core concept is to even-out congestion…

Systems and Control · Computer Science 2013-12-03 Antoine Desmet , Erol Gelenbe

In this paper, we study the problems of computing the 1-center, centroid, and 1-median of objects moving with bounded speed in Euclidean space. We can acquire the exact location of only a constant number of objects (usually one) per unit…

Computational Geometry · Computer Science 2024-01-09 William Evans , Seyed Ali Tabatabaee

In this paper we investigate the computational power of a set of mobile robots with limited visibility. At each iteration, a robot takes a snapshot of its surroundings, uses the snapshot to compute a destination point, and it moves toward…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-07 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta

Robotic pick-and-place (PnP) operations on moving conveyors find a wide range of industrial applications. In practice, simple greedy heuristics (e.g., prioritization based on the time to process a single object) are applied that achieve…

Robotics · Computer Science 2019-12-18 Shuai D. Han , Si Wei Feng , Jingjin Yu

Development of navigation algorithms is essential for the successful deployment of robots in rapidly changing hazardous environments for which prior knowledge of configuration is often limited or unavailable. Use of traditional…

Robotics · Computer Science 2022-11-11 Paul Blum , Peter Crowley , George Lykotrafitis

Fast robotics pick-and-place with suction cups is a crucial component in the current development of automation in logistics (factory lines, e-commerce, etc.). By "critically fast" we mean the fastest possible movement for transporting an…

Robotics · Computer Science 2019-03-05 Hung Pham , Quang-Cuong Pham

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

We show a method resulting in the improvement of several polynomial-space, exponential-time algorithms. An instance of the problem Max (r,2)-CSP, or simply Max 2-CSP, is parametrized by the domain size r (often 2), the number of variables n…

Data Structures and Algorithms · Computer Science 2017-11-20 Serge Gaspers , Gregory B. Sorkin

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

In this paper we consider the problem of locating $k$ obnoxious facilities (congruent disks of maximum radius) amidst $n$ demand points (existing repulsive facility sites) ordered from left to right in the plane so that none of the existing…

Computational Geometry · Computer Science 2022-05-13 Vishwanath R. Singireddy , Manjanna Basappa

We study analytically and numerically the mean fastest first-passage time (fFPT) to an immobile target for an ensemble of $N$ independent finite-speed random searchers driven by dichotomous noise and described by the telegrapher's equation.…

Statistical Mechanics · Physics 2026-02-18 Denis S. Grebenkov , Ralf Metzler , Gleb Oshanin

In the envy-free cake-cutting problem we are given a resource, usually called a cake and represented as the $[0,1]$ interval, and a set of $n$ agents with heterogeneous preferences over pieces of the cake. The goal is to divide the cake…

Computer Science and Game Theory · Computer Science 2025-09-01 Alexandros Hollender , Aviad Rubinstein

The narrow escape problem is a first-passage problem concerned with randomly moving particles in a physical domain, being trapped by absorbing surface traps (windows), such that the measure of traps is small compared to the domain size. The…

Mathematical Physics · Physics 2021-09-15 Vaibhava Srivastava , Alexei Cheviakov

We present a strategy SEP for finite state machines tasked with cleaning a cellular environment in which a contamination spreads. Initially, the contaminated area is of height $h$ and width $w$. It may be bounded by four monotonic chains,…

Data Structures and Algorithms · Computer Science 2015-02-16 Rolf Klein , David Kriesel , Elmar Langetepe

We investigate the exploration problem of a short-sighted mobile robot moving in an unknown cellular room. To explore a cell, the robot must enter it. Once inside, the robot knows which of the 4 adjacent cells exist and which are boundary…

Computational Geometry · Computer Science 2010-12-24 Christian Icking , Tom Kamphans , Rolf Klein , Elmar Langetepe
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