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We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

Advanced Air Mobility (AAM) operations are expected to significantly increase aerial traffic in urban airspace, requiring autonomous traffic management systems to ensure collision-free operations in highly congested environments. In this…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Matthew Low , Jasmine Jerry Aloor , Victoria Marie Tuck , Pierluigi Nuzzo , Jason J. Choi

The majority of multi-agent path finding (MAPF) methods compute collision-free space-time paths which require agents to be at a specific location at a specific discretized timestep. However, executing these space-time paths directly on…

Multiagent Systems · Computer Science 2024-04-24 Yu Wu , Rishi Veerapaneni , Jiaoyang Li , Maxim Likhachev

Constrained motion planning is a common but challenging problem in robotic manipulation. In recent years, data-driven constrained motion planning algorithms have shown impressive planning speed and success rate. Among them, the latent…

Robotics · Computer Science 2026-01-01 Jiawei Zhang , Chengchao Bai , Wei Pan , Tianhang Liu , Jifeng Guo

Multi-agent pathfinding (MAPF) is concerned with planning collision-free paths for a team of agents from their start to goal locations in an environment cluttered with obstacles. Typical approaches for MAPF consider the locations of…

Artificial Intelligence · Computer Science 2022-03-22 David Vainshtein , Kiril Solovey , Oren Salzman

The fast marching algorithm computes an approximate solution to the eikonal equation in O(N log N) time, where the factor log N is due to the administration of a priority queue. Recently, Yatziv, Bartesaghi and Sapiro have suggested to use…

Numerical Analysis · Mathematics 2025-10-20 Christian Rasch , Thomas Satzger

Aiming at the problem of driver's perception lag and low utilization efficiency of space-time resources in expressway ramp confluence area, based on the preemptive spatiotemporal trajectory Adjustment system, from the perspective of…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Yuan Li , Xiaoxue Xu , Xiang Dong , Junfeng Hao , Tao Li , Sana Ullaha , Chuangrui Huang , Junjie Niu , Ziyan Zhao , Ting Peng

In this paper, a new fast algorithm for path planning and a collision prediction framework for two dimensional dynamically changing environments are introduced. The method is called Time Distance (TD) and benefits from the space-time space…

Robotics · Computer Science 2023-04-07 Ali Analooee , Shahram Azadi , Reza Kazemi

This paper presents a search-based partial motion planner to generate dynamically feasible trajectories for car-like robots in highly dynamic environments. The planner searches for smooth, safe, and near-time-optimal trajectories by…

Robotics · Computer Science 2020-11-10 Jiahui Lin , Tong Zhou , Delong Zhu , Jianbang Liu , Max Q. -H. Meng

Multi-agent trajectory planning requires ensuring both safety and efficiency, yet deadlocks remain a significant challenge, especially in obstacle-dense environments. Such deadlocks frequently occur when multiple agents attempt to traverse…

Robotics · Computer Science 2025-07-29 Haoze Dong , Meng Guo , Chengyi He , Zhongkui Li

We consider the problem of controlling the movement of multiple cooperating agents so as to minimize an uncertainty metric associated with a finite number of targets. In a one-dimensional mission space, we adopt an optimal control framework…

Optimization and Control · Mathematics 2016-03-15 Nan Zhou , Xi Yu , Sean B. Andersson , Christos G. Cassandras

For enabling efficient, large-scale coordination of unmanned aerial vehicles (UAVs) under the labeled setting, in this work, we develop the first polynomial time algorithm for the reconfiguration of many moving bodies in three-dimensional…

Robotics · Computer Science 2022-07-29 Teng Guo , Siwei Feng , Jingjin Yu

To handle the two shortcomings of existing methods, (i)nearly all models rely on high-definition (HD) maps, yet the map information is not always available in real traffic scenes and HD map-building is expensive and time-consuming and (ii)…

Artificial Intelligence · Computer Science 2023-11-14 Junhong Xiang , Jingmin Zhang , Zhixiong Nan

In this study, we propose a three-stage framework for the planning and scheduling of high-capacity mobility-on-demand services (e.g., micro transit and flexible transit) at urban activity hubs. The proposed framework consists of (1) the…

Optimization and Control · Mathematics 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

We propose a unifying framework based on configuration linear programs and randomized rounding, for different energy optimization problems in the dynamic speed-scaling setting. We apply our framework to various scheduling and routing…

Data Structures and Algorithms · Computer Science 2014-03-21 Evripidis Bampis , Alexander Kononov , Dimitrios Letsios , Giorgio Lucarelli , Maxim Sviridenko

A time-optimal problem for redundantly actuated robots moving on a specified path is a challenging problem. Although the problem is well explored and there are proposed solutions based on phase plane analysis, there are still several…

Optimization and Control · Mathematics 2018-08-03 Saeed Mansouri , Mohammad Jafar Sadigh , Masoud Fazeli

Multi-robot planning and coordination in uncertain environments is a fundamental computational challenge, since the belief space increases exponentially with the number of robots. In this paper, we address the problem of planning in…

Robotics · Computer Science 2025-06-23 Cora A. Duggan , Kevin C. Wolfe , Bradley Woosley , Marin Kobilarov , Joseph Moore

Unmanned Aerial Vehicles (UAVs) offer significant potential in dynamic, perception-intensive tasks such as search and rescue and environmental monitoring; however, their effectiveness is severely restricted by conventional pre-planned…

Multiagent Systems · Computer Science 2025-04-16 Yuhan Hu , Yirong Sun , Yanjun Chen , Xinghao Chen , Xiaoyu Shen , Wei Zhang

Due to limited transit network coverage and infrequent service, suburban commuters often face the transit first mile/last mile (FMLM) problem. To deal with this, they either drive to a park-and-ride location to take transit, use carpooling,…

Data Structures and Algorithms · Computer Science 2022-08-25 Pramesh Kumar , Alireza Khani

We propose a distributed planning method with asynchronous execution for multi-agent pickup and delivery (MAPD) problems for environments with occasional delays in agents' activities and flexible endpoints. MAPD is a crucial problem…

Multiagent Systems · Computer Science 2023-02-21 Yuki Miyashita , Tomoki Yamauchi , Toshiharu Sugawara