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In this paper we tackle the problem of persistently covering a complex non-convex environment with a team of robots. We consider scenarios where the coverage quality of the environment deteriorates with time, requiring to constantly revisit…

Robotics · Computer Science 2024-01-25 José Manuel Palacios-Gasós , Danilo Tardioli , Eduardo Montijano , Carlos Sagüés

This paper addresses an optimal control problem for a robot that has to find and collect a finite number of objects and move them to a depot in minimum time. The robot has fourth-order dynamics that change instantaneously at any pick-up or…

Systems and Control · Computer Science 2021-01-27 Vladislav Nenchev , Christos G. Cassandras , Jörg Raisch

The Cooperative Orienteering Problem with Time Windows (COPTW)is a class of problems with some important applications and yet has received relatively little attention. In the COPTW a certain number of team members are required to collect…

Artificial Intelligence · Computer Science 2016-08-22 Iman Roozbeh , Melih Ozlen , John W. Hearne

Finding the Time-Optimal Parameterization of a Path (TOPP) subject to second-order constraints (e.g. acceleration, torque, contact stability, etc.) is an important and well-studied problem in robotics. In comparison, TOPP subject to…

Robotics · Computer Science 2017-09-20 Hung Pham , Quang-Cuong Pham

Path planning for autonomous robots faces a fundamental trade-off between path length and obstacle clearance. While existing algorithms typically prioritize a single objective, we introduce the Unified Path Planner (UPP), a graph-search…

Robotics · Computer Science 2026-03-17 Jatin Kumar Arora , Soutrik Bandyopadhyay , Sunil Sulania , Shubhendu Bhasin

Despite the attention that the problem of path planning for tethered robots has garnered in the past few decades, the approaches proposed to solve it typically rely on a discrete representation of the configuration space and do not exploit…

Robotics · Computer Science 2025-12-09 Gianpietro Battocletti , Dimitris Boskos , Bart De Schutter

In this paper, we propose a method to replan coverage paths for a robot operating in an environment with initially unknown static obstacles. Existing coverage approaches reduce coverage time by covering along the minimum number of coverage…

Robotics · Computer Science 2024-06-10 Megnath Ramesh , Frank Imeson , Baris Fidan , Stephen L. Smith

Ensuring fairness in matching algorithms is a key challenge in allocating scarce resources and positions. Focusing on Optimal Transport (OT), we introduce a novel notion of group fairness requiring that the probability of matching two…

Machine Learning · Statistics 2026-02-02 Linus Bleistein , Mathieu Dagréou , Francisco Andrade , Thomas Boudou , Aurélien Bellet

In services such as retail audits and urban infrastructure monitoring, a platform dispatches rewarded, location-based micro-tasks to mobile workers traveling along personal origin-destination (OD) trips under hard time budgets. As requests…

Optimization and Control · Mathematics 2026-01-19 Zhibin Wu , Songhao Shen , Yufeng Zhou , Qin Lei

In this paper, we consider the Constant-cost Orienteering Problem (COP) where a robot, constrained by a limited travel budget, aims at selecting a path with the largest reward in an aisle-graph. The aisle-graph consists of a set of loosely…

Data Structures and Algorithms · Computer Science 2019-09-17 Francesco Betti Sorbelli , Stefano Carpin , Federico Corò , Alfredo Navarra , Cristina M. Pinotti

This paper studies the traffic monitoring problem in a road network using a team of aerial robots. The problem is challenging due to two main reasons. First, the traffic events are stochastic, both temporally and spatially. Second, the…

Robotics · Computer Science 2021-07-13 Behzad Khamidehi , Elvino S. Sousa

Coverage path planning is a fundamental challenge in robotics, with diverse applications in aerial surveillance, manufacturing, cleaning, inspection, agriculture, and more. The main objective is to devise a trajectory for an agent that…

Robotics · Computer Science 2023-11-01 Dominik Michael Krupke

We consider several Vehicle Routing Problems (VRP) with profits, which seek to select a subset of customers, each one being associated with a profit, and to design service itineraries. When the sum of profits is maximized under distance…

Data Structures and Algorithms · Computer Science 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

This paper introduces a trajectory planning algorithm for search and coverage missions with an Unmanned Aerial Vehicle (UAV) based on an uncertainty map that represents prior knowledge of the target region, modeled by a Gaussian Mixture…

Robotics · Computer Science 2025-03-28 Hugo Matias , Daniel Silvestre

We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

Robotics · Computer Science 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

This paper studies the multi-robot reliable navigation problem in uncertain topological networks, which aims at maximizing the robot team's on-time arrival probabilities in the face of road network uncertainties. The uncertainty in these…

We consider an orienteering problem (OP) where an agent needs to visit a series (possibly a subset) of depots, from which the maximal accumulated profits are desired within given limited time budget. Different from most existing works where…

Artificial Intelligence · Computer Science 2017-07-04 Zhibei Ma , Kai Yin , Lantao Liu , Gaurav S. Sukhatme

Integrated task and motion planning (TAMP) has proven to be a valuable approach to generalizable long-horizon robotic manipulation and navigation problems. However, the typical TAMP problem formulation assumes full observability and…

Efficient coordination of multiple robots for coverage of large, unknown environments is a significant challenge that involves minimizing the total coverage path length while reducing inter-robot conflicts. In this paper, we introduce a…

We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots…

Robotics · Computer Science 2015-12-08 Jingjin Yu