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We consider the machine covering problem for selfish related machines. For a constant number of machines, m, we show a monotone polynomial time approximation scheme (PTAS) with running time that is linear in the number of jobs. It uses a…

Computer Science and Game Theory · Computer Science 2007-05-23 Leah Epstein , Rob van Stee

Assuming a random uniform distribution of n sensor nodes over a virtual grid, this paper addresses the problem of finding the maximum number of connected set covers each ensuring 100% coverage of the query region. The connected sets remain…

Networking and Internet Architecture · Computer Science 2014-02-14 Dibakar Saha , Nabanita Das

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…

This work presents a distributed MPC-based approach to solving the problem of multi-agent point-to-point transition with optimization-based collision avoidance. The problem is formulated, motivated by the work on collision avoidance for…

Robotics · Computer Science 2021-08-04 Adarsh Patnaik , Ashish Ranjan Hota

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

This paper addresses the motion planning problem for a team of aerial agents under high level goals. We propose a hybrid control strategy that guarantees the accomplishment of each agent's local goal specification, which is given as a…

Robotics · Computer Science 2016-10-05 Christos K. Verginis , Ziwei Xu , Dimos V. Dimarogonas

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

Systems and Control · Computer Science 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

We consider multi-agent systems with heterogeneous, nonlinear agents subject to individual constraints that want to achieve a periodic, dynamic cooperative control goal which can be characterised by a set and a suitable cost. We propose a…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

In this paper we study the long-standing open question regarding the computational complexity of one of the core problems in supply chains management, the periodic joint replenishment problem. This problem has received a lot of attention…

Computational Complexity · Computer Science 2015-11-10 Tamar Cohen , Liron Yedidsion

The area coverage problem is the task of efficiently servicing a given two-dimensional surface using sensors mounted on robots such as unmanned aerial vehicles (UAVs) and unmanned ground vehicles (UGVs). We present a novel formulation for…

Robotics · Computer Science 2022-08-23 Saurav Agarwal , Srinivas Akella

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

A k-order coverage control problem is studied where a network of agents must deploy over a desired area. The objective is to deploy all the agents in a decentralized manner such that a certain coverage performance metric of the network is…

Multiagent Systems · Computer Science 2019-03-14 Daniel Tabatabai , Mohanad Ajina , Cameron Nowzari

We study the problem of persistent monitoring of a finite number of inter-connected geographical nodes by a group of heterogeneous mobile agents. We assign to each geographical node a concave and increasing reward function that resets to…

Multiagent Systems · Computer Science 2020-10-22 Navid Rezazadeh , Solmaz S. Kia

Unmanned aerial vehicles (UAVs) can be used to provide wireless network and remote surveillance coverage for disaster-affected areas. During such a situation, the UAVs need to return periodically to a charging station for recharging, due to…

Information Theory · Computer Science 2017-05-30 Hazim Shakhatreh , Abdallah Khreishah , Jacob Chakareski , Haythem Bany Salameh , Issa Khalil

This work presents a sequential convex program method to compute fuel-optimal collision avoidance maneuvers for long-term encounters. The low-thrust acceleration model is used to account for the control, but the method can compute…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Zeno Pavanello , Laura Pirovano , Roberto Armellin

We study various versions of the problem of scheduling platoons of autonomous vehicles through an unregulated intersection, where an algorithm must schedule which platoons should wait so that others can go through, so as to minimize the…

Data Structures and Algorithms · Computer Science 2016-09-16 Juan José Besa Vial , William E. Devanny , David Eppstein , Michael T. Goodrich

In this paper we analyze a continuous version of the maximal covering location problem, in which the facilities are required to be interconnected by means of a graph structure in which two facilities are allowed to be linked if a given…

Optimization and Control · Mathematics 2020-05-08 Víctor Blanco , Ricardo Gázquez

We introduce the Cooperative Multi-Agent Path Finding (Co-MAPF) problem, an extension to the classical MAPF problem, where cooperative behavior is incorporated. In this setting, a group of autonomous agents operate in a shared environment…

Multiagent Systems · Computer Science 2021-05-25 Nir Greshler , Ofir Gordon , Oren Salzman , Nahum Shimkin

Coverage path planning in a generic known environment is shown to be NP-hard. When the environment is unknown, it becomes more challenging as the robot is required to rely on its online map information built during coverage for planning its…

Robotics · Computer Science 2021-10-19 Javad Heydari , Olimpiya Saha , Viswanath Ganapathy

This paper introduces a general modeling framework for a multi-type maximal covering location problem in which the position of facilities in different metric spaces are simultaneously decided to maximize the demand generated by a set of…

Optimization and Control · Mathematics 2021-11-30 Víctor Blanco , Ricardo Gázquez , Francisco Saldanha-da-Gama