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Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

Sampling-based algorithms solve the path planning problem by generating random samples in the search-space and incrementally growing a connectivity graph or a tree. Conventionally, the sampling strategy used in these algorithms is biased…

Robotics · Computer Science 2021-02-26 Sagar Suhas Joshi , Seth Hutchinson , Panagiotis Tsiotras

In this paper we present a novel probabilistic sampling-based motion planning algorithm called the Fast Marching Tree algorithm (FMT*). The algorithm is specifically aimed at solving complex motion planning problems in high-dimensional…

Robotics · Computer Science 2015-02-09 Lucas Janson , Edward Schmerling , Ashley Clark , Marco Pavone

We present a method to apply heuristic search algorithms to solve rearrangement planning by pushing problems. In these problems, a robot must push an object through clutter to achieve a goal. To do this, we exploit the fact that contact…

Robotics · Computer Science 2016-03-30 Jennifer E. King , Siddhartha S. Srinivasa

Sampling-based motion planners perform exceptionally well in robotic applications that operate in high-dimensional space. However, most works often constrain the planning workspace rooted at some fixed locations, do not adaptively reason on…

Robotics · Computer Science 2021-03-09 Tin Lai

Routing problems such as Hamiltonian Path Problem (HPP), seeks a path to visit all the vertices in a graph while minimizing the path cost. This paper studies a variant, HPP with Probabilistic Terminals (HPP-PT), where each vertex has a…

Robotics · Computer Science 2026-01-21 Yunpeng Lyu , Chao Cao , Ji Zhang , Howie Choset , Zhongqiang Ren

Robot path planning is difficult to solve due to the contradiction between optimality of results and complexity of algorithms, even in 2D environments. To find an optimal path, the algorithm needs to search all the state space, which costs…

Robotics · Computer Science 2020-12-08 Zhaoting Li , Jiankun Wang , Max Q. -H. Meng

Multi-robot path planning is a computational process involving finding paths for each robot from its start to the goal while ensuring collision-free operation. It is widely used in robots and autonomous driving. However, the computational…

Robotics · Computer Science 2023-08-04 Biru Zhang , Jiankun Wang , Max Q. -H. Meng

The use of random sampling in decision-making and control has become popular with the ease of access to graphic processing units that can generate and calculate multiple random trajectories for real-time robotic applications. In contrast to…

Robotics · Computer Science 2022-03-21 Hyung-Jin Yoon , Chuyuan Tao , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

Multi-Agent Path Finding (MAPF) is an NP-hard problem well studied in artificial intelligence and robotics. It has many real-world applications for which existing MAPF solvers use various heuristics. However, these solvers are deterministic…

Artificial Intelligence · Computer Science 2017-06-12 Liron Cohen , Glenn Wagner , T. K. Satish Kumar , Howie Choset , Sven Koenig

Integrating artificial intelligence (AI) into sampling-based motion planning provides new possibilities for improving autonomous navigation efficiency. In this paper, three algorithms, namely RRT*, Neural RRT*, and Neural Informed RRT*, are…

Robotics · Computer Science 2026-05-28 Hichem Cheriet , Badra Khellat Kihel , Samira Chouraqui

Optimal motion planning involves obstacles avoidance where path planning is the key to success in optimal motion planning. Due to the computational demands, most of the path planning algorithms can not be employed for real-time based…

Robotics · Computer Science 2022-02-15 Geesara Kulathunga

Informed sampling-based planning algorithms exploit problem knowledge for better search performance. This knowledge is often expressed as heuristic estimates of solution cost and used to order the search. The practical improvement of this…

Robotics · Computer Science 2020-12-10 Marlin P. Strub , Jonathan D. Gammell

The rapid advancement of high degree-of-freedom (DoF) serial manipulators necessitates the use of swift, sampling-based motion planners for high-dimensional spaces. While sampling-based planners like the Rapidly-Exploring Random Tree (RRT)…

Robotics · Computer Science 2026-03-06 Theodore M. Belmont , Benjamin A. Christie , Anton Netchaev

Existing methods for avoiding dynamic engagement zones (EZs) and minimizing risk leverage the calculus of variations to obtain optimal paths. While such methods are deterministic, they scale poorly as the number of engagement zones…

Optimization and Control · Mathematics 2024-03-11 Artur Wolek , Isaac E. Weintraub , Alexander Von Moll , David Casbeer , Satyanarayana G. Manyam

Real-time dynamic path planning in complex traffic environments presents challenges, such as varying traffic volumes and signal wait times. Traditional static routing algorithms like Dijkstra and A* compute shortest paths but often fail…

Artificial Intelligence · Computer Science 2024-08-27 Ziai Zhou , Bin Zhou , Hao Liu

In this paper, a sampling-based trajectory planning algorithm for a laboratory-scale 3D gantry crane in an environment with static obstacles and subject to bounds on the velocity and acceleration of the gantry crane system is presented. The…

Robotics · Computer Science 2023-03-28 Minh Nhat Vu , Michael Schwegel , Christian Hartl-Nesic , Andreas Kugi

Motivated by what is required for real-time path planning, the paper starts out by presenting sRMPD, a new recursive "local" planner founded on the key notion that, unless made necessary by an obstacle, there must be no deviation from the…

Robotics · Computer Science 2018-02-27 Fangda Li , Ankit V. Manerikar , Avinash C. Kak

Motion planning problems can be simplified by admissible projections of the configuration space to sequences of lower-dimensional quotient-spaces, called sequential simplifications. To exploit sequential simplifications, we present the…

Robotics · Computer Science 2019-08-27 Andreas Orthey , Marc Toussaint

Classical sampling-based motion planners like the RRTs suffer from inefficiencies, particularly in cluttered or high-dimensional spaces, due to their reliance on undirected, random sampling. This paper introduces the Episodic RRT, a novel…

Robotics · Computer Science 2025-07-23 Xinyu Wu