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We present results on new variants of the famous linear search (or cow-path) problem that involves an agent searching for a target with unknown position on the infinite line. We consider the variant where the agent can move either at speed…

Discrete Mathematics · Computer Science 2025-05-15 Jared Coleman , Oscar Morales-Ponce

In this paper, we consider a (rough) kinematic model for a UAV flying at constant altitude moving forward with positive lower and upper bounded linear velocities and positive minimum turning radius.For this model, we consider the problem of…

Dynamical Systems · Mathematics 2017-11-27 Vincent Andrieu , Marc-Aurèle Lagache , Ulysse Serres

In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

Robotics · Computer Science 2007-05-23 Ketan Savla , Francesco Bullo , Emilio Frazzoli

The interdiction of escaping adversaries in urban networks is a critical security challenge. State-of-the-art game-theoretic models, such as the Escape Interdiction Game (EIG), provide comprehensive frameworks but assume a highly dynamic…

Data Structures and Algorithms · Computer Science 2025-10-07 Sukanya Samanta , Manohar Reddy

Up-to-date information wirelessly communicated among vehicles can be used to select the optimal route between a given origin and destination. To elucidate how to make use of such information, simulations are performed for autonomous…

Physics and Society · Physics 2017-04-05 L. C. Davis

Path planning for multiple unmanned aerial vehicles is a difficult task, and even more for a fleet of fixed-wing aircraft. One specific case is the transition to, or between, formation flight patterns, which requires synchronous arrivals…

Optimization and Control · Mathematics 2026-03-24 Maël Feurgard , Gautier Hattenberger , Nicolas Durand , Simon Lacroix

We address the problem of optimal path planning for a simple nonholonomic vehicle in the presence of obstacles. Most current approaches are either split hierarchically into global path planning and local collision avoidance, or neglect some…

Optimization and Control · Mathematics 2020-05-08 Christian Parkinson , Andrea L. Bertozzi , Stanley Osher

We study shortest paths and their distances on a subset of a Euclidean space, and their approximation by their equivalents in a neighborhood graph defined on a sample from that subset. In particular, we recover and extend the results of…

Computational Geometry · Computer Science 2018-10-26 Ery Arias-Castro , Thibaut Le Gouic

While maximizing line-of-sight coverage of specific regions or agents in the environment is a well-explored path planning objective, the converse problem of minimizing exposure to the entire environment during navigation is especially…

Robotics · Computer Science 2024-06-24 Eugene T. Hamzezadeh , John G. Rogers , Neil T. Dantam , Andrew J. Petruska

In train routing, the headway is the minimum distance that must be maintained between successive trains for safety and robustness. We introduce a model for train routing that requires a fixed headway to be maintained between trains, and…

Data Structures and Algorithms · Computer Science 2025-07-08 Umang Bhaskar , Katharina Eickhoff , Lennart Kauther , Jannik Matuschke , Britta Peis , Laura Vargas Koch

The detection of curved lanes is still challenging for autonomous driving systems. Although current cutting-edge approaches have performed well in real applications, most of them are based on strict model assumptions. Similar to other…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Jianhao Jiao , Rui Fan , Han Ma , Ming Liu

We present an efficient path planning algorithm for an Unmanned Aerial Vehicle surveying a cluttered urban landscape. A special emphasis is on maximizing area surveyed while adhering to constraints of the UAV and partially known and…

Robotics · Computer Science 2018-09-13 Vaibhav Darbari , Saksham Gupta , Om Prakash Verma

The paper is concerned with elongating the shortest curvature-bounded path between two oriented points to an expected length. The elongation of curvature-bounded paths to an expected length is fundamentally important to plan missions for…

Optimization and Control · Mathematics 2024-01-04 Zheng Chen , Kun Wang , Yang Lu

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

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

Robotics · Computer Science 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

Motion planning in the presence of multiple dynamic obstacles is an important research problem from the perspective of autonomous vehicles as well as space-constrained multi-robot work environment. In this paper, we address the motion…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Trishant Roy , Anindya Harchowdhury , Leena Vachhani

In this paper, we propose a new method for path planning to a point for robot in environment with obstacles. The resulting algorithm is implemented as a simple variation of Dijkstra's algorithm. By adding a constraint to the shortest-path,…

Robotics · Computer Science 2015-10-16 Jalil Rasekhi

In this article, a variation of the classical Markov-Dubins problem is considered, which deals with curvature-constrained least-cost paths in a plane with prescribed initial and final configurations, different bounds for the sinistral and…

Optimization and Control · Mathematics 2022-11-15 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David Casbeer

This paper proposes a guidance strategy to achieve time-constrained interception of stationary targets, taking into account both the bounded field-of-view (FOV) of seeker-equipped interceptors and the actuator's physical constraints.…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Swati Singh , Shashi Ranjan Kumar , Dwaipayan Mukherjee

In this paper, a model of a pair of Dubins vehicles is considered. The vehicles move from an initial position and orientation to final position and orientation. A long the motion, the two vehicles are not allowed to collide however the two…

Robotics · Computer Science 2008-05-01 Heru Tjahjana , Iwan Pranoto , Hari Muhammad , J. Naiborhu , Miswanto