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We consider the Max Unique Coverage problem, including applications to the data stream model. The input is a universe of $n$ elements, a collection of $m$ subsets of this universe, and a cardinality constraint, $k$. The goal is to select a…

Data Structures and Algorithms · Computer Science 2024-07-15 Philip Cervenjak , Junhao Gan , Seeun William Umboh , Anthony Wirth

This paper presents an approach to externally influencing a team of robots by means of time-varying density functions. These density functions represent rough references for where the robots should be located. To this end, a continuous-time…

Optimization and Control · Mathematics 2014-04-02 Sung G. Lee , Magnus Egerstedt

For numerous graph problems in the realm of parameterized algorithms, using the size of a smallest deletion set (called a modulator) into well-understood graph families as parameterization has led to a long and successful line of research.…

Data Structures and Algorithms · Computer Science 2023-10-06 Tanmay Inamdar , Lawqueen Kanesh , Madhumita Kundu , M. S. Ramanujan , Saket Saurabh

Path planning for multiple robots is well studied in the AI and robotics communities. For a given discretized environment, robots need to find collision-free paths to a set of specified goal locations. Robots can be fully anonymous,…

Artificial Intelligence · Computer Science 2017-04-26 Wolfgang Hönig , T. K. Satish Kumar , Liron Cohen , Hang Ma , Sven Koenig , Nora Ayanian

Research involving computing with mobile agents is a fast-growing field, given the advancement of technology in automated systems, e.g., robots, drones, self-driving cars, etc. Therefore, it is pressing to focus on solving classical network…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Prabhat Kumar Chand , Anisur Rahaman Molla , Sumathi Sivasubramaniam

Given a graph and a root, the Maximum Bounded Rooted-Tree Packing (MBRTP) problem aims at finding K rooted-trees that span the largest subset of vertices, when each vertex has a limited outdegree. This problem is motivated by peer-to-peer…

Computational Complexity · Computer Science 2011-11-04 Herve Kerivin , Jimmy Leblet , Gwendal Simon , Fen Zhou

A mobile robot represented by a point moving in the plane has to explore an unknown terrain with obstacles. Both the terrain and the obstacles are modeled as arbitrary polygons. We consider two scenarios: the unlimited vision, when the…

Data Structures and Algorithms · Computer Science 2015-05-14 Jurek Czyzowicz , David Ilcinkas , Arnaud Labourel , Andrzej Pelc

The Capacitated Vehicle Routing problem is to find a minimum-cost set of tours that collectively cover clients in a graph, such that each tour starts and ends at a specified depot and is subject to a capacity bound on the number of clients…

Data Structures and Algorithms · Computer Science 2019-01-23 Amariah Becker , Philip N. Klein , Aaron Schild

In this work, we study the problem of dispersion of mobile robots on dynamic rings. The problem of dispersion of $n$ robots on an $n$ node graph, introduced by Augustine and Moses Jr. [1], requires robots to coordinate with each other and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-17 Ankush Agarwalla , John Augustine , William K. Moses , Madhav Sankar K. , Arvind Krishna Sridhar

Coordinating the motion of multiple robots in cluttered environments remains a computationally challenging task. We study the problem of minimizing the execution time of a set of geometric paths by a team of robots with state-dependent…

Robotics · Computer Science 2024-09-26 Katherine Mao , Igor Spasojevic , Malakhi Hopkins , M. Ani Hsieh , Vijay Kumar

We consider a scenario of cooperative task servicing, with a team of heterogeneous robots with different maximum speeds and communication radii, in charge of keeping the network intermittently connected. We abstract the task locations into…

Robotics · Computer Science 2024-01-25 Rosario Aragues , Dimos V. Dimarogonas , Pablo Guallar , Carlos Sagues

We consider the problem of finding patrol schedules for $k$ robots to visit a given set of $n$ sites in a metric space. Each robot has the same maximum speed and the goal is to minimize the weighted maximum latency of any site, where the…

Data Structures and Algorithms · Computer Science 2020-07-15 Peyman Afshani , Mark De Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

We present a method for solving the coverage problem with the objective of autonomously exploring an unknown environment under mission time constraints. Here, the robot is tasked with planning a path over a horizon such that the accumulated…

The problem of scheduling jobs on parallel machines (identical, uniform, or unrelated), under incompatibility relation modeled as a block graph, under the makespan optimality criterion, is considered in this paper. No two jobs that are in…

Discrete Mathematics · Computer Science 2024-03-05 Hanna Furmańczyk , Tytus Pikies , Inka Sokołowska , Krzysztof Turowski

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

Time-varying coverage, namely sweep coverage is a recent development in the area of wireless sensor networks, where a small number of mobile sensors sweep or monitor comparatively large number of locations periodically. In this article we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Barun Gorain , Partha Sarathi Mandal

This paper considers the collaborative graph exploration problem in GPS-denied environments, where a group of robots are required to cover a graph environment while maintaining reliable pose estimations in collaborative simultaneous…

Robotics · Computer Science 2024-07-02 Ruofei Bai , Shenghai Yuan , Hongliang Guo , Pengyu Yin , Wei-Yun Yau , Lihua Xie

The concept of bounded highway dimension was developed to capture observed properties of the metrics of road networks. We show that a graph with bounded highway dimension, for any vertex, can be embedded into a a graph of bounded treewidth…

Data Structures and Algorithms · Computer Science 2017-11-15 Amariah Becker , Philip N. Klein , David Saulpic

The multiple-path orienteering problem asks for paths for a team of robots that maximize the total reward collected while satisfying budget constraints on the path length. This problem models many multi-robot routing tasks such as exploring…

Robotics · Computer Science 2021-12-02 Guangyao Shi , Lifeng Zhou , Pratap Tokekar

This paper investigates multi-agent frequencybased patrolling of intersecting, circle graphs under conditions where graph nodes have non-uniform visitation requirements and agents have limited ability to communicate. The task is modeled as…

Multiagent Systems · Computer Science 2014-02-10 Tao Mao , Laura Ray
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