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In this paper, we address the problem of scheduling a set of robots to complete tasks in a laboratory environment, modelled as a graph, while avoiding collisions. We analyze the dynamic programming algorithm (PA) introduced in…

机器人学 · 计算机科学 2026-02-18 Duncan Adamson , Nathan Flaherty , Igor Potapov , Paul G. Spirakis , Elena Zamaraeva

In this paper, we look at the problem of finding the tour of maximum reward on an undirected graph where the reward is a submodular function, that has a curvature of $\kappa$, of the edges in the tour. This problem is known to be NP-hard.…

最优化与控制 · 数学 2012-09-25 Syed Talha Jawaid , Stephen L. Smith

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

数据结构与算法 · 计算机科学 2021-07-06 Klaus Jansen , Malin Rau

We propose a novel receding horizon planner for an autonomous surface vehicle (ASV) performing path planning in urban waterways. Feasible paths are found by repeatedly generating and searching a graph reflecting the obstacles observed in…

机器人学 · 计算机科学 2020-09-02 Tixiao Shan , Wei Wang , Brendan Englot , Carlo Ratti , Daniela Rus

In a series of papers, Avraham, Filtser, Kaplan, Katz, and Sharir (SoCG'14), Kaplan, Katz, Saban, and Sharir (ESA'23), and Katz, Saban, and Sharir (ESA'24) studied a class of geometric optimization problems -- including reverse shortest…

数据结构与算法 · 计算机科学 2025-04-10 Timothy M. Chan , Zhengcheng Huang

Occupancy grids are the most common framework when it comes to creating a map of the environment using a robot. This paper studies occupancy grids from the motion planning perspective and proposes a mapping method that provides richer data…

机器人学 · 计算机科学 2016-09-20 Ali-akbar Agha-mohammadi

We consider an Anonymous Multi-Agent Path-Finding (AMAPF) problem where the set of agents is confined to a graph, a set of goal vertices is given and each of these vertices has to be reached by some agent. The problem is to find an…

人工智能 · 计算机科学 2024-01-30 Zain Alabedeen Ali , Konstantin Yakovlev

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…

Temporal graphs are graphs where the edge set can change in each time step, and the vertex set stays the same. Exploration of temporal graphs whose snapshot in each time step is a connected graph, called connected temporal graphs, has been…

数据结构与算法 · 计算机科学 2024-07-19 Konstantinos Dogeas , Thomas Erlebach , Frank Kammer , Johannes Meintrup , William K. Moses

Consider the following generalization of the classic binary search problem: A searcher is required to find a hidden target vertex $x$ in a graph $G$. To do so, they iteratively perform queries to an oracle, each about a chosen vertex $v$.…

数据结构与算法 · 计算机科学 2026-03-17 Michał Szyfelbein

To manipulate objects in novel, unstructured environments, robots need task-oriented grasps that target object parts based on the given task. Geometry-based methods often struggle with visually defined parts, occlusions, and unseen objects.…

机器人学 · 计算机科学 2025-11-27 Edmond Tong , Advaith Balaji , Anthony Opipari , Stanley Lewis , Zhen Zeng , Odest Chadwicke Jenkins

In this paper, we study the one-shot and lifelong versions of the Target Assignment and Path Finding problem in automated sortation centers, where each agent needs to constantly assign itself a sorting station, move to its assigned station…

人工智能 · 计算机科学 2019-12-03 Ngai Meng Kou , Cheng Peng , Hang Ma , T. K. Satish Kumar , Sven Koenig

We present a simple nonadaptive randomized algorithm that estimates the number of edges in a simple, unweighted, undirected graph, possibly containing isolated vertices, using only degree and random edge queries. For an $n$-vertex graph,…

数据结构与算法 · 计算机科学 2025-12-16 Arijit Bishnu , Debarshi Chanda , Buddha Dev Das , Arijit Ghosh , Gopinath Mishra

We consider problems in which a mobile robot samples an unknown function defined over its operating space, so as to find a global optimum of this function. The path traveled by the robot matters, since it influences energy and time…

机器人学 · 计算机科学 2023-12-19 Tudor Santejudean , Lucian Busoniu

We consider the problem of maximizing the algebraic connectivity of the communication graph in a network of mobile robots by moving them into appropriate positions. We define the Laplacian of the graph as dependent on the pairwise distance…

系统与控制 · 计算机科学 2017-09-18 Andrea Simonetto , Tamas Keviczky , Robert Babuska

This paper addresses an Optimal Transport (OT)-based efficient multi-robot exploration problem, considering the energy constraints of a multi-robot system. The efficiency in this problem implies how a team of robots (agents) covers a given…

系统与控制 · 电气工程与系统科学 2020-09-03 Rabiul Hasan Kabir , Kooktae Lee

In the Single Source Replacement Paths (SSRP) problem we are given a graph $G = (V, E)$, and a shortest paths tree $\widehat{K}$ rooted at a node $s$, and the goal is to output for every node $t \in V$ and for every edge $e$ in…

数据结构与算法 · 计算机科学 2020-04-29 Shiri Chechik , Ofer Magen

The landscape of applications and subroutines relying on shortest path computations continues to grow steadily. This growth is driven by the undeniable success of shortest path algorithms in theory and practice. It also introduces new…

数据结构与算法 · 计算机科学 2024-08-13 Ricardo Euler , Pedro Maristany de las Casas

The fundamental goal assignment problem for a multi-robot application aims to assign a unique goal to each robot while ensuring collision-free paths, minimizing the total movement cost. A plausible algorithmic solution to this NP-hard…

多智能体系统 · 计算机科学 2024-02-22 Aakash , Indranil Saha

A simple-triangle graph is the intersection graph of triangles that are defined by a point on a horizontal line and an interval on another horizontal line. The time complexity of the recognition problem for simple-triangle graphs was a…

离散数学 · 计算机科学 2018-09-20 Asahi Takaoka