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The Team Orienteering Problem (TOP) is an attractive variant of the Vehicle Routing Problem (VRP). The aim is to select customers and at the same time organize the visits for a vehicle fleet so as to maximize the collected profits and…

Robotics · Computer Science 2016-04-12 Racha El-Hajj , Duc-Cuong Dang , Aziz Moukrim

The Team Orienteering Problem (TOP) is an NP-hard routing problem in which a fleet of identical vehicles aims at collecting rewards (prizes) available at given locations, while satisfying restrictions on the travel times. In TOP, each…

Data Structures and Algorithms · Computer Science 2020-01-06 Lucas Assunção , Geraldo Robson Mateus

Route planning for a fleet of vehicles is an important task in applications such as package delivery, surveillance, or transportation, often integrated within larger Intelligent Transportation Systems (ITS). This problem is commonly…

Artificial Intelligence · Computer Science 2025-05-21 Daniel Fuertes , Carlos R. del-Blanco , Fernando Jaureguizar , Narciso García

This paper introduces the correlated arc orienteering problem (CAOP), where the task is to find routes for a team of robots to maximize the collection of rewards associated with features in the environment. These features can be…

Robotics · Computer Science 2022-08-17 Saurav Agarwal , Srinivas Akella

We consider a problem called task ordering with path uncertainty (TOP-U) where multiple robots are provided with a set of task locations to visit in a bounded environment, but the length of the path between a pair of task locations is…

Robotics · Computer Science 2016-07-05 Bradley Woosley , Prithviraj Dasgupta

Multi-robot planning and coordination in uncertain environments is a fundamental computational challenge, since the belief space increases exponentially with the number of robots. In this paper, we address the problem of planning in…

Robotics · Computer Science 2025-06-23 Cora A. Duggan , Kevin C. Wolfe , Bradley Woosley , Marin Kobilarov , Joseph Moore

This paper introduces an extension to the Orienteering Problem (OP), called Clustered Orienteering Problem with Subgroups (COPS). In this variant, nodes are arranged into subgroups, and the subgroups are organized into clusters. A reward is…

Artificial Intelligence · Computer Science 2023-12-29 Luciano E. Almeida , Douglas G. Macharet

In this paper we study the following multi-robot coordination problem: given a graph, where each edge is weighted by the probability of surviving while traversing it, find a set of paths for $K$ robots that maximizes the expected number of…

Robotics · Computer Science 2016-12-13 Stefan Jorgensen , Robert H. Chen , Mark B. Milam , Marco Pavone

The Team Orienteering Problem (TOP) generalizes many real-world multi-robot scheduling and routing tasks that occur in autonomous mobility, aerial logistics, and surveillance applications. While many flavors of the TOP exist for planning in…

Robotics · Computer Science 2025-10-29 Malintha Fernando , Petter Ögren , Silun Zhang

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

Planning for multi-robot teams in complex environments is a challenging problem, especially when these teams must coordinate to accomplish a common objective. In general, optimal solutions to these planning problems are computationally…

Robotics · Computer Science 2024-03-07 Cora A. Dimmig , Kevin C. Wolfe , Joseph Moore

The problem Orienteering asks whether there exists a walk which visits a number of sites without exceeding some fuel budget. In the variant of the problem we consider, the cost of each edge in the walk is dependent on the time we depart one…

Discrete Mathematics · Computer Science 2025-07-02 Timothée Corsini , Jessica Enright , Laura Larios-Jones , Kitty Meeks

The Team Orienteering Problem with Service Times and Mandatory & Incompatible Nodes (TOP-ST-MIN) is a variant of the classic Team Orienteering Problem (TOP), which includes three novel features that stem from two real-world problems…

Optimization and Control · Mathematics 2024-10-17 Alberto Guastalla , Roberto Aringhieri , Pierre Hosteins

The Orienteering Problem (OP) is a well-studied routing problem that has been extended to incorporate uncertainties, reflecting stochastic or dynamic travel costs, prize-collection costs, and prizes. Existing approaches may, however, be…

Systems and Control · Electrical Eng. & Systems 2025-01-10 Qiuchen Qian , Yanran Wang , David Boyle

Team Coordination on Graphs with Risky Edges (TCGRE) is a recently emerged problem, in which a robot team collectively reduces graph traversal cost through support from one robot to another when the latter traverses a risky edge. Resembling…

Multiagent Systems · Computer Science 2024-08-21 Yanlin Zhou , Manshi Limbu , Gregory J. Stein , Xuan Wang , Daigo Shishika , Xuesu Xiao

We propose a novel non-linear extension to the Orienteering Problem (OP), called the Correlated Orienteering Problem (COP). We use COP to model the planning of informative tours for the persistent monitoring of a spatiotemporal field with…

Robotics · Computer Science 2014-12-16 Jingjin Yu , Mac Schwager , Daniela Rus

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

Team Coordination on Graphs with Risky Edges (\textsc{tcgre}) is a recently proposed problem, in which robots find paths to their goals while considering possible coordination to reduce overall team cost. However, \textsc{tcgre} assumes…

Robotics · Computer Science 2024-10-31 Yanlin Zhou , Manshi Limbu , Xuan Wang , Daigo Shishika , Xuesu Xiao

This article presents a framework and develops a formulation to solve a path planning problem for multiple heterogeneous Unmanned Vehicles (UVs) with uncertain service times for each vehicle--target pair. The vehicles incur a penalty…

Robotics · Computer Science 2018-07-30 Kaarthik Sundar , Saravanan Venkatachalam , Satyanarayana G. Manyam

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou
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