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We present a fast algorithm for the design of smooth paths (or trajectories) that are constrained to lie in a collection of axis-aligned boxes. We consider the case where the number of these safe boxes is large, and basic preprocessing of…

Robotics · Computer Science 2024-01-04 Tobia Marcucci , Parth Nobel , Russ Tedrake , Stephen Boyd

Realistic path planning applications often require optimizing with respect to several criteria simultaneously. Here we introduce an efficient algorithm for bi-criteria path planning on graphs. Our approach is based on augmenting the state…

Recent works on machine learning for combinatorial optimization have shown that learning based approaches can outperform heuristic methods in terms of speed and performance. In this paper, we consider the problem of finding an optimal…

Multi-Agent Path Finding (MAPF) requires collision-free trajectories for multiple agents on a shared graph, often with the objective of minimizing the sum-of-costs (SOC). Many optimal and bounded-suboptimal solvers rely on time-expanded…

Multiagent Systems · Computer Science 2026-04-08 Fernando Salanova , Eduardo Montijano , Cristian Mahulea

As robotic systems continue to address emerging issues in areas such as logistics, mobility, manufacturing, and disaster response, it is increasingly important to rapidly generate safe and energy-efficient trajectories. In this article, we…

Robotics · Computer Science 2022-11-14 Logan E. Beaver , Roberto Tron , Christos G. Cassandras

A shortest-path algorithm finds a path containing the minimal cost between two vertices in a graph. A plethora of shortest-path algorithms is studied in the literature that span across multiple disciplines. This paper presents a survey of…

Data Structures and Algorithms · Computer Science 2017-05-08 Amgad Madkour , Walid G. Aref , Faizan Ur Rehman , Mohamed Abdur Rahman , Saleh Basalamah

The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

Data Structures and Algorithms · Computer Science 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

Urban congestion at signalized intersections leads to significant delays, economic losses, and increased emissions. Existing deep learning models often lack spatial generalizability, rely on complex architectures, and struggle with…

Machine Learning · Computer Science 2025-05-16 Nooshin Yousefzadeh , Rahul Sengupta , Jeremy Dilmore , Sanjay Ranka

In high-density environments where numerous autonomous agents move simultaneously in a distributed manner, streamlining global flows to mitigate local congestion is crucial to maintain overall navigation efficiency. This paper introduces a…

Multiagent Systems · Computer Science 2025-08-21 Takuro Kato , Keisuke Okumura , Yoko Sasaki , Naoya Yokomachi

Existing industrial-scale navigation applications contend with massive road networks, typically employing two main categories of approaches for route planning. The first relies on precomputed road costs for optimal routing and heuristic…

Robotics · Computer Science 2026-02-05 Chengzhang Wang , Chao Chen , Jun Tao , Tengfei Liu , He Bai , Song Wang , Longfei Xu , Kaikui Liu , Xiangxiang Chu

Shortest path search is a core operation in graph-based applications, yet existing methods face important limitations. Classical algorithms such as Dijkstra's and A* become inefficient as graphs grow more complex, while index-based…

Machine Learning · Computer Science 2025-08-05 Tiantian Liu , Xiao Li , Huan Li , Hua Lu , Christian S. Jensen , Jianliang Xu

The concept of path homotopy has received widely attention in the field of path planning in recent years. In this article, a homotopy invariant based on convex dissection for a two-dimensional bounded Euclidean space is developed, which can…

Robotics · Computer Science 2023-08-08 Jinyuan Liu , Minglei Fu , Andong Liu , Wenan Zhang , Bo Chen

Commonly, learning-based topological navigation approaches produce a local policy while preserving some loose connectivity of the space through a topological map. Nevertheless, spurious or missing edges in the topological graph often lead…

Robotics · Computer Science 2022-07-12 Rey Reza Wiyatno , Anqi Xu , Liam Paull

We present improvements to a recently developed method for trajectory planning for autonomous surface vehicles (ASVs) in terms of run time. The original method combines two types of planners: An A* implementation that quickly finds the…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Glenn Bitar , Anastasios M. Lekkas , Morten Breivik

We introduce a simple yet effective sampling-based planner that is tailored for bottleneck pathfinding: Given an implicitly-defined cost map $\mathcal{M}:\mathbb{R}^d\rightarrow \mathbb{R}$, which assigns to every point in space a real…

Robotics · Computer Science 2016-09-28 Kiril Solovey , Dan Halperin

In this paper, we extended road-based topological analysis to both nationwide and urban road networks, and concentrated on a sensitivity study with respect to the formation of self-organized natural roads based on the Gestalt principle of…

Data Analysis, Statistics and Probability · Physics 2008-07-14 Bin Jiang , Sijian Zhao , Junjun Yin

Online lane graph construction is a promising but challenging task in autonomous driving. Previous methods usually model the lane graph at the pixel or piece level, and recover the lane graph by pixel-wise or piece-wise connection, which…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Bencheng Liao , Shaoyu Chen , Bo Jiang , Tianheng Cheng , Qian Zhang , Wenyu Liu , Chang Huang , Xinggang Wang

In recent years, end-to-end autonomous driving frameworks have been shown to not only enhance perception performance but also improve planning capabilities. However, most previous end-to-end autonomous driving frameworks have focused…

Robotics · Computer Science 2024-08-13 Yuanhua Shen , Jun Li

Search-based planning with motion primitives is a powerful motion planning technique that can provide dynamic feasibility, optimality, and real-time computation times on size, weight, and power-constrained platforms in unstructured…

Robotics · Computer Science 2021-03-29 Laura Jarin-Lipschitz , James Paulos , Raymond Bjorkman , Vijay Kumar

In recent years, mobile robots are becoming ambitious and deployed in large-scale scenarios. Serving as a high-level understanding of environments, a sparse skeleton graph is beneficial for more efficient global planning. Currently,…

Robotics · Computer Science 2022-08-09 Xinyi Chen , Boyu Zhou , Jiarong Lin , Yichen Zhang , Fu Zhang , Shaojie Shen
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