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In this work, we propose a trajectory optimization approach for robot navigation in cluttered 3D environments. We represent the robot's geometry as a semialgebraic set defined by polynomial inequalities such that robots with general shapes…

Robotics · Computer Science 2024-08-27 Yulin Li , Chunxin Zheng , Kai Chen , Yusen Xie , Xindong Tang , Michael Yu Wang , Jun Ma

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

In this paper we consider two special cases of the "cover-by-pairs" optimization problem that arise when we need to place facilities so that each customer is served by two facilities that reach it by disjoint shortest paths. These problems…

The Orienteering Problem with Time Window and Delay (\OPTiWinD) is a variant of the online orienteering problem. A series of requests appear in various locations while a vehicle moves within the territory to serve them. Each request has a…

Discrete Mathematics · Computer Science 2022-01-04 Marc Demange , David Ellison , Bertrand Jouve

We continue the study of $\delta$-dispersion, a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal is to position as many…

Data Structures and Algorithms · Computer Science 2022-06-24 Tim A. Hartmann , Stefan Lendl

We study the problem of motion planning for a collection of $n$ labeled unit disc robots in a polygonal environment. We assume that the robots have revolving areas around their start and final positions: that each start and each final is…

Robotics · Computer Science 2023-06-16 Pankaj K. Agarwal , Tzvika Geft , Dan Halperin , Erin Taylor

The Neural Architecture Search (NAS) problem is typically formulated as a graph search problem where the goal is to learn the optimal operations over edges in order to maximise a graph-level global objective. Due to the large architecture…

Computer Vision and Pattern Recognition · Computer Science 2023-01-13 Vasco Lopes , Fabio Maria Carlucci , Pedro M Esperança , Marco Singh , Victor Gabillon , Antoine Yang , Hang Xu , Zewei Chen , Jun Wang

We consider the Multi-Robot Task Allocation (MRTA) problem that aims to optimize an assignment of multiple robots to multiple tasks in challenging environments which are with densely populated obstacles and narrow passages. In such…

Robotics · Computer Science 2025-06-10 Seabin Lee , Joonyeol Sim , Changjoo Nam

The paper represents an algorithm for planning safe and optimal routes for transport facilities with unrestricted movement direction that travel within areas with obstacles. Paper explains the algorithm using a ship as an example of such a…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Ivan Yanchin , Oleg Petrov

This article introduces a multimodal motion planning (MMP) algorithm that combines three-dimensional (3-D) path planning and a DWA obstacle avoidance algorithm. The algorithms aim to plan the path and motion of obstacle-overcoming robots in…

Robotics · Computer Science 2022-09-05 Yuanhao huang , Shi Huang , Hao Wang , Ruifeng Meng

This paper presents a mission system and the therein implemented algorithms for path planning in a time-varying environment based on graph methods. The basic task of the introduced path planning algorithms is to find a time-optimal path…

Robotics · Computer Science 2020-08-06 Mike Eichhorn

We consider the problem of an autonomous agent equipped with multiple sensors, each with different sensing precision and energy costs. The agent's goal is to explore the environment and gather information subject to its resource constraints…

Robotics · Computer Science 2024-04-30 Joshua Ott , Edward Balaban , Mykel Kochenderfer

We consider the problem of packing a family of disks "on a shelf", that is, such that each disk touches the $x$-axis from above and such that no two disks overlap. We prove that the problem of minimizing the distance between the leftmost…

Computational Geometry · Computer Science 2018-09-10 Helmut Alt , Kevin Buchin , Steven Chaplick , Otfried Cheong , Philipp Kindermann , Christian Knauer , Fabian Stehn

Short text clustering has gained significant attention in the data mining community. However, the limited valuable information contained in short texts often leads to low-discriminative representations, increasing the difficulty of…

Machine Learning · Computer Science 2026-03-16 Zhihao Yao

The ridesharing problem is that given a set of trips, each trip consists of an individual, a vehicle of the individual and some requirements, select a subset of trips and use the vehicles of selected trips to deliver all individuals to…

Data Structures and Algorithms · Computer Science 2021-06-01 Qian-Ping Gu , Jiajian Leo Liang , Guochuan Zhang

Autonomous motion planning is challenging in multi-obstacle environments due to nonconvex collision avoidance constraints. Directly applying numerical solvers to these nonconvex formulations fails to exploit the constraint structures,…

Robotics · Computer Science 2023-04-06 Ruihua Han , Shuai Wang , Shuaijun Wang , Zeqing Zhang , Qianru Zhang , Yonina C. Eldar , Qi Hao , Jia Pan

We consider a variant of the berth allocation problem-i.e., the multi-port berth allocation problem-aimed at assigning berthing times and positions to vessels in container terminals. This variant involves optimizing vessel travel speeds…

Optimization and Control · Mathematics 2021-10-05 Bernardo Martin-Iradi , Dario Pacino , Stefan Ropke

In this paper, we investigate a hybrid multicast/ unicast scheme for a multiple-input single-output cache-aided non-orthogonal multiple access (NOMA) vehicular scenario in the face of rapidly fluctuating vehicular wireless channels.…

Information Theory · Computer Science 2020-11-24 Xinyue Pei , Hua Yu , Yingyang Chen , Miaowen Wen , Gaojie Chen

The input to the stochastic orienteering problem consists of a budget $B$ and metric $(V,d)$ where each vertex $v$ has a job with deterministic reward and random processing time (drawn from a known distribution). The processing times are…

Data Structures and Algorithms · Computer Science 2014-05-12 Nikhil Bansal , Viswanath Nagarajan

We present a methodology for clustering N objects which are described by multivariate time series, i.e. several sequences of real-valued random variables. This clustering methodology leverages copulas which are distributions encoding the…

Machine Learning · Statistics 2016-11-15 Gautier Marti , Sébastien Andler , Frank Nielsen , Philippe Donnat