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In this survey we investigate the application of the Adleman-Lipton model on Rural Postman problem, which given an undirected graph $G=(V,E)$ with positive integer lengths on each of its edges and a subset $E^{'}\subseteq E$, asks whether…

Computational Complexity · Computer Science 2010-12-16 Nicolaos Matsakis

Path planning for robotic coverage is the task of determining a collision-free robot trajectory that observes all points of interest in an environment. Robots employed for such tasks are often capable of exercising active control over…

Robotics · Computer Science 2020-11-17 Tushar Kusnur , Dhruv Mauria Saxena , Maxim Likhachev

Electronic Phased-Array Radars offer new possibilities for Optimization of Radar Search Pattern by using bi-dimensional beam forming and beam steering, along both elevation and azimuth axes. The minimization of the Time-Budget required for…

Optimization and Control · Mathematics 2025-08-05 Yann Briheche , Frédéric Barbaresco , Fouad Bennis , Damien Chablat

In this paper, we study robust distributed sub-optimal coordination of linear agents subject to input nonlinearities. Inspired by the robust agreement literature, we formulate a bounded distributed sub-optimal coordination problem, in which…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Takumi Namba

This paper presents a Genetic Programming (GP) approach to solving multi-robot path planning (MRPP) problems in single-lane workspaces, specifically those easily mapped to graph representations. GP's versatility enables this approach to…

Robotics · Computer Science 2019-12-23 Alexandre Trudeau , Christopher M. Clark

In this paper, we investigate the problem of planning an optimal infinite path for a single robot to achieve a linear temporal logic (LTL) task with security guarantee. We assume that the external behavior of the robot, specified by an…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Shuo Yang , Xiang Yin , Shaoyuan Li , Majid Zamani

This paper addresses a synchronization problem that arises when a team of aerial robots (ARs) need to communicate while performing assigned tasks in a cooperative scenario. Each robot has a limited communication range and flies within a…

Robotics · Computer Science 2019-02-15 J. M. Díaz-Báñez , L. E. Caraballo , M. A. Lopez , S. Bereg , I. Maza , A. Ollero

The labeled MRPP (Multi-Robot Path Planning) problem involves routing robots from start to goal configurations efficiently while avoiding collisions. Despite progress in solution quality and runtime, its complexity and industrial relevance…

Robotics · Computer Science 2025-06-12 Teng Guo

We consider a fundamental problem concerning the deployment of a wireless robotic network: to fulfill various end-to-end performance requirements, a "sufficient" number of robotic relays must be deployed to ensure that links are of…

Robotics · Computer Science 2016-11-28 Pradipta Ghosh , Bhaskar Krishnamachari

Coverage analysis is essential for validating the safety of autonomous driving systems, yet existing approaches typically assess coverage factors individually or in limited combinations, struggling to capture the complex interactions…

Methodology · Statistics 2026-02-03 Thomas Muehlenstädt , Marius Bause

Given a two-dimensional polygonal space, the multi-robot visibility-based pursuit-evasion problem tasks several pursuer robots with the goal of establishing visibility with an arbitrarily fast evader. The best known complete algorithm for…

Robotics · Computer Science 2021-04-12 Trevor Olsen , Anne M. Tumlin , Nicholas M. Stiffler , Jason M. O'Kane

Thanks to the rapid evolvement of robotic technologies, robot mowing is emerging to liberate humans from the tedious and time-consuming landscape work. Traditionally, robot mowing is perceived as a "Coverage Path Planning" problem, with a…

Robotics · Computer Science 2022-09-13 Zhaofeng Tian , Weisong Shi

Within the context of optimising the logistics in agriculture this paper relates to optimal in-field routing for full and partial field coverage with arbitrary non-convex fields and multiple obstacle areas. It is distinguished between nine…

Systems and Control · Electrical Eng. & Systems 2019-08-22 Mogens Graf Plessen

In large scale coverage operations, such as marine exploration or aerial monitoring, single robot approaches are not ideal, as they may take too long to cover a large area. In such scenarios, multi-robot approaches are preferable.…

Optimal transportation provides a means of lifting distances between points on a geometric domain to distances between signals over the domain, expressed as probability distributions. On a graph, transportation problems can be used to…

Optimization and Control · Mathematics 2018-03-26 Montacer Essid , Justin Solomon

This work is inspired by the problem of planning sequences of operations, as welding, in car manufacturing stations where multiple industrial robots cooperate. The goal is to minimize the station cycle time, \emph{i.e.} the time it takes…

Robotics · Computer Science 2023-09-06 Domenico Spensieri , Johan S. Carlson , Fredrik Ekstedt , Robert Bohlin

This paper is concerned with the deployment of multiple mobile robots in order to autonomously cover a region Q. The region to be covered is described using a density function which may not be apriori known. In this paper, we pose the…

Systems and Control · Electrical Eng. & Systems 2019-08-06 Rihab Abdul Razak , Srikant Sukumar , Hoam Chung

This paper addresses the problem of coordination of a fleet of mobile robots - the problem of finding an optimal set of collision-free trajectories for individual robots in the fleet. Many approaches have been introduced during the last…

Robotics · Computer Science 2019-01-23 Jakub Hvězda , Miroslav Kulich , Libor Přeučil

We perform structural and algorithmic studies of significantly generalized versions of the optimal perimeter guarding (OPG) problem. As compared with the original OPG where robots are uniform, in this paper, many mobile robots with…

Optimization and Control · Mathematics 2019-12-19 Si Wei Feng , Jingjin Yu

Robots performing tasks in warehouses provide the first example of wide-spread adoption of autonomous vehicles in transportation and logistics. The efficiency of these operations, which can vary widely in practice, are a key factor in the…

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