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This paper addresses the problem of tracking mobile intruders in a polygonal environment. We assume that a team of diagonal guards is deployed inside the polygon to provide mobile coverage. First, we formulate the problem of tracking a…

Computational Geometry · Computer Science 2018-07-24 Guillermo J. Laguna , Sourabh Bhattacharya

This work explores a variation of the art gallery problem in which a team of static and mobile guards track a mobile intruder with unknown maximum speed. First, we present an algorithm to identify {\it candidate vertices} in a polygon at…

Computational Geometry · Computer Science 2018-07-24 Guillermo J. Laguna , Sourabh Bhattacharya

We investigate a variation of the art gallery problem in which a team of mobile guards tries to track an unpredictable intruder in a simply-connected polygonal environment. In this work, we use the deployment strategy for diagonal guards…

Robotics · Computer Science 2016-11-16 Guillermo J. Laguna , Rui Zou , Sourabh Bhattacharya

We investigate the problem of optimally assigning a large number of robots (or other types of autonomous agents) to guard the perimeters of closed 2D regions, where the perimeter of each region to be guarded may contain multiple disjoint…

Robotics · Computer Science 2019-05-14 Si Wei Feng , Shuai D. Han , Kai Gao , Jingjin Yu

Suppose an unpredictable evader is free to move around in a polygonal environment of arbitrary complexity that is under full camera surveillance. How many pursuers, each with the same maximum speed as the evader, are necessary and…

Computer Science and Game Theory · Computer Science 2011-10-24 Kyle Klein , Subhash Suri

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

We study the problem of guarding the boundary of a simple polygon with a minimum number of guards such that each guard covers a contiguous portion of the boundary. First, we present a simple greedy algorithm for this problem that returns a…

Computational Geometry · Computer Science 2025-05-09 Ahmad Biniaz , Anil Maheshwari , Joseph S. B. Mitchell , Saeed Odak , Valentin Polishchuk , Thomas Shermer

This article presents a distributed algorithm for a group of robotic agents with omnidirectional vision to deploy into nonconvex polygonal environments with holes. Agents begin deployment from a common point, possess no prior knowledge of…

Robotics · Computer Science 2010-12-03 Karl J. Obermeyer , Anurag Ganguli , Francesco Bullo

In a multi-robot system, a number of autonomous robots would sense, communicate, and decide to move within a given domain to achieve a common goal. In this paper, we consider a new variant of the pursuit-evasion problem in which the robots…

Computational Geometry · Computer Science 2016-08-16 Mohammad Ghodsi , Salma Sadat Mahdavi , Ali Narenji Sheshkalani

We are interested in the problem of guarding simple orthogonal polygons with the minimum number of $ r $-guards. The interior point $ p $ belongs an orthogonal polygon $ P $ is visible from $ r $-guard $ g $, if the minimum area rectangle…

Computational Geometry · Computer Science 2017-09-14 Hamid Hoorfar , Alireza Bagheri

This paper studies a variant of the multi-player reach-avoid game played between intruders and defenders with applications to perimeter defense. The intruder team tries to score by sending as many intruders as possible to the target area,…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Daigo Shishika , James Paulos , Vijay Kumar

In unknown non-convex environments, such as indoor and underground spaces, deploying a fleet of robots to explore the surroundings while simultaneously searching for and tracking targets of interest to maintain high-precision data…

Robotics · Computer Science 2025-09-30 Jun Chen , Jiaqing Ma , Philip Dames

We consider the following distributed pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown $n$-node network. Their goal is to execute a search strategy that guarantees capturing a fast…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Dorota Urbańska

In this report, we propose a decentralised motion control algorithm for the mobile robots to intercept an intruder entering (k-intercepting) or escaping (e-intercepting) a protected region. In continuation, we propose a decentralized…

Systems and Control · Computer Science 2018-09-10 Ali Marzoughi

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

We consider a variant of pursuit-evasion games where a single defender is tasked to defend a static target from a sequence of periodically arriving intruders. The intruders' objective is to breach the boundary of a circular target without…

Optimization and Control · Mathematics 2023-03-13 Arman Pourghorban , Dipankar Maity

The protection of pathways holds immense significance across various domains, including urban planning, transportation, surveillance, and security. This article introduces a groundbreaking approach to safeguarding pathways by employing…

Robotics · Computer Science 2024-05-27 Hamid Hoorfar , Faraneh Fathi , Sara Moshtaghi Largani , Alireza Bagheri

The problem of searching a polygonal region for an unpredictably moving intruder by a set of stationary guards, each carrying an orientable laser, is known as the Searchlight Scheduling Problem. Determining the computational complexity of…

Computational Geometry · Computer Science 2015-03-20 Giovanni Viglietta

Patrolling consists of scheduling perpetual movements of a collection of mobile robots, so that each point of the environment is regularly revisited by any robot in the collection. In previous research, it was assumed that all points of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Huda Chuangpishit , Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Tomasz Jurdzinski , Evangelos Kranakis

A sliding camera inside an orthogonal polygon $P$ is a point guard that travels back and forth along an orthogonal line segment $\gamma$ in $P$. The sliding camera $g$ can see a point $p$ in $P$ if the perpendicular from $p$ onto $\gamma$…

Computational Geometry · Computer Science 2016-04-26 Therese Biedl , Timothy M. Chan , Stephanie Lee , Saeed Mehrabi , Fabrizio Montecchiani , Hamideh Vosoughpour
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