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In recent years, advancements have been made towards the goal of using chaotic coverage path planners for autonomous search and traversal of spaces with limited environmental cues. However, the state of this field is still in its infancy as…

In this paper, we present the first constant-approximation algorithm for {\em budgeted sweep coverage problem} (BSC). The BSC involves designing routes for a number of mobile sensors (a.k.a. robots) to periodically collect information as…

Discrete Mathematics · Computer Science 2024-08-23 Wei Liang , Shaojie Tang , Zhao Zhang

In the PATH COVER problem, one asks to cover the vertices of a graph using the smallest possible number of (not necessarily disjoint) paths. While the variant where the paths need to be pairwise vertex-disjoint, which we call PATH…

Data Structures and Algorithms · Computer Science 2025-11-11 Florent Foucaud , Atrayee Majumder , Tobias Mömke , Aida Roshany-Tabrizi

Coverage path planning is a well-studied problem in robotics in which a robot must plan a path that passes through every point in a given area repeatedly, usually with a uniform frequency. To address the scenario in which some points need…

Machine Learning · Computer Science 2020-06-02 Rishi Shah , Yuqian Jiang , Justin Hart , Peter Stone

The coverage problem in wireless sensor networks deals with the problem of covering a region or parts of it with sensors. In this paper, we address the problem of covering a set of line segments in sensor networks. A line segment ` is said…

Computational Geometry · Computer Science 2017-11-16 Dinesh Dash , Arijit Bishnu , Arobinda Gupta , Subhas C. Nandy

We introduce the Observation Route Problem ($\textsf{ORP}$) defined as follows: Given a set of $n$ pairwise disjoint compact regions in the plane, find a shortest tour (route) such that an observer walking along this tour can see (observe)…

Computational Geometry · Computer Science 2024-11-04 Adrian Dumitrescu , Csaba D. Tóth

We study approximation algorithms for the following geometric version of the maximum coverage problem: Let P be a set of n weighted points in the plane. We want to place m a * b rectangles such that the sum of the weights of the points in P…

Computational Geometry · Computer Science 2015-05-12 Jian Li , Haitao Wang , Bowei Zhang , Ningye Zhang

We study the algorithmic problem of optimally covering a tree with $k$ mobile robots. The tree is known to all robots, and our goal is to assign a walk to each robot in such a way that the union of these walks covers the whole tree. We…

Suppose a target is hidden in one of the vertices of an edge-weighted graph according to a known probability distribution. The expanding search problem asks for a search sequence of the vertices so as to minimize the expected time for…

Discrete Mathematics · Computer Science 2019-11-21 Ben Hermans , Roel Leus , Jannik Matuschke

For a given polygonal region $P$, the Lawn Mowing Problem (LMP) asks for a shortest tour $T$ that gets within Euclidean distance 1/2 of every point in $P$; this is equivalent to computing a shortest tour for a unit-diameter cutter $C$ that…

Computational Geometry · Computer Science 2023-07-04 Sándor P. Fekete , Dominik Krupke , Michael Perk , Christian Rieck , Christian Scheffer

Minimising the longest travel distance for a group of mobile robots with interchangeable goals requires knowledge of the shortest length paths between all robots and goal destinations. Determining the exact length of the shortest paths in…

Robotics · Computer Science 2023-06-19 Tony A. Wood , Maryam Kamgarpour

This paper deals with the problem of autonomous navigation of a mobile robot in an unknown 2D environment to fully explore the environment as efficiently as possible. We assume a terrestrial mobile robot equipped with a ranging sensor with…

Robotics · Computer Science 2020-07-21 Miroslav Kulich , Jiří Kubalík , Libor Přeučil

While maximizing line-of-sight coverage of specific regions or agents in the environment is a well-explored path planning objective, the converse problem of minimizing exposure to the entire environment during navigation is especially…

Robotics · Computer Science 2024-06-24 Eugene T. Hamzezadeh , John G. Rogers , Neil T. Dantam , Andrew J. Petruska

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

Robotics · Computer Science 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

We study the query version of constrained minimum link paths between two points inside a simple polygon $P$ with $n$ vertices such that there is at least one point on the path, visible from a query point. The method is based on partitioning…

Computational Geometry · Computer Science 2023-06-22 Mohammad Reza Zarrabi , Nasrollah Moghaddam Charkari

The detection of curved lanes is still challenging for autonomous driving systems. Although current cutting-edge approaches have performed well in real applications, most of them are based on strict model assumptions. Similar to other…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Jianhao Jiao , Rui Fan , Han Ma , Ming Liu

Electronic phased-array radars offer new possibilities for radar search pattern optimization by using bi-dimensional beam-forming and beam-steering. Radar search pattern optimization can be approximated as a set cover problem and solved…

Optimization and Control · Mathematics 2020-02-13 Yann Briheche , Frédéric Barbaresco , Fouad Bennis , Damien Chablat

A mean field feedback artificial neural network algorithm is developed and explored for the set covering problem. A convenient encoding of the inequality constraints is achieved by means of a multilinear penalty function. An approximate…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mattias Ohlsson , Carsten Peterson , Bo Söderberg

The use of an efficient coverage planning method is key for autonomous navigation in agricultural environments, where a robot must cover large areas of crops. This paper generally reviews the current state of the art of coverage path…

Robotics · Computer Science 2024-07-03 Ismael Ait , Ernesto Kofman , Taihú Pire

In this work, we propose a search-based planning method to compute dynamically feasible trajectories for a quadrotor flying in an obstacle-cluttered environment. Our approach searches for smooth, minimum-time trajectories by exploring the…

Robotics · Computer Science 2017-09-19 Sikang Liu , Nikolay Atanasov , Kartik Mohta , Vijay Kumar