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In the real-time decision-making and local planning process of autonomous vehicles in dynamic environments, the autonomous driving system may fail to find a reasonable policy or even gets trapped in some situation due to the complexity of…

Robotics · Computer Science 2019-09-18 Lilin Qian , Xin Xu , Yujun Zeng , Xiaohui Li , Zhenping Sun , Hang Song

We study the problem of optimal multi-robot path planning on graphs MPP over four distinct minimization objectives: the makespan (last arrival time), the maximum (single-robot traveled) distance, the total arrival time, and the total…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

Robotics · Computer Science 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

This paper explores an eclectic range of path-planning methodologies engineered for rolling surfaces. Our focus is on the kinematic intricacies of rolling contact systems, which are investigated through a motion planning lens. Beyond…

Robotics · Computer Science 2025-01-09 Seyed Amir Tafrishi , Mikhail Svinin , Kenji Tahara

In this paper, we present a learning approach to goal assignment and trajectory planning for unlabeled robots operating in 2D, obstacle-filled workspaces. More specifically, we tackle the unlabeled multi-robot motion planning problem with…

This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of…

Optimization and Control · Mathematics 2026-02-04 Louis Callens , Bastiaan Vandewal , Ibrahim Ibrahim , Jan Swevers , Wilm Decré

In terms of Rudyak's generalization of Farber's topological complexity of the path motion planning problem in robotics, we give a complete description of the topological instabilities in any sequential motion planning algorithm for a system…

Algebraic Topology · Mathematics 2014-01-13 Jesus Gonzalez , Mark Grant

With the incremental development of robotic platforms to automate the manual processes, path planning has become a critical domain with or without the knowledge of the indoor and outdoor environment. The algorithms can be intelligent or…

Robotics · Computer Science 2020-12-22 R. N. Somarathna

We study a probabilistic variant of the r-th sequential parametrized topological complexity, which bounds this classical invariant from below and measures the difficulty in constructing permissive parametrized motion planning algorithms. On…

Algebraic Topology · Mathematics 2026-05-25 Navnath Daundkar , Ekansh Jauhari

We study augmenting a plane Euclidean network with a segment, called a shortcut, to minimize the largest distance between any two points along the edges of the resulting network. Problems of this type have received considerable attention…

Computational Geometry · Computer Science 2018-07-27 Delia Garijo , Alberto Márquez , Natalia Rodríguez , Rodrigo I. Silveira

This paper presents aUToPath, a unified online framework for global path-planning and control to address the challenge of autonomous navigation in cluttered urban environments. A key component of our framework is a novel hybrid planner that…

This paper presents a novel method for efficiently solving a trajectory planning problem for swarm robotics in cluttered environments. Recent research has demonstrated high success rates in real-time local trajectory planning for swarm…

Robotics · Computer Science 2023-11-08 Pengda Mao , Rao Fu , Quan Quan

Manifolds occur naturally as configuration spaces of robotic systems. They provide global descriptions of local coordinate systems that are common tools in expressing positions of robots. The purpose of this survey is threefold. Firstly, we…

Geometric Topology · Mathematics 2024-02-13 Stephan Mescher

The objective function used in trajectory optimization is often non-convex and can have an infinite set of local optima. In such cases, there are diverse solutions to perform a given task. Although there are a few methods to find multiple…

Robotics · Computer Science 2021-07-14 Takayuki Osa

In this paper, we study the problem of optimal multi-robot path planning (MPP) on graphs. We propose two multiflow based integer linear programming (ILP) models that computes minimum last arrival time and minimum total distance solutions…

Robotics · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

In this paper, we consider a robot navigation problem in environments populated by humans. The goal is to determine collision-free and dynamically feasible trajectories that also maximize human satisfaction. This is because they may drive…

Robotics · Computer Science 2020-11-04 Yijie Zhou , Yan Zhang , Xusheng Luo , Michael M. Zavlanos

We consider the configuration formation problem in modular robotic systems where a set of singleton modules that are spatially distributed in an environment are required to assume appropriate positions so that they can configure into a new,…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Prithviraj Dasgupta

Ensuring safety in autonomous vehicles necessitates advanced path planning and obstacle avoidance capabilities, particularly in dynamic environments. This paper introduces a bi-level control framework that efficiently augments road…

Robotics · Computer Science 2025-10-07 Mostafa Emam , Matthias Gerdts

We consider the following problem for a fixed graph H: given a graph G and two H-colorings of G, i.e. homomorphisms from G to H, can one be transformed (reconfigured) into the other by changing one color at a time, maintaining an H-coloring…

Computational Complexity · Computer Science 2017-03-28 Marcin Wrochna

Multi-robot path finding in dynamic environments is a highly challenging classic problem. In the movement process, robots need to avoid collisions with other moving robots while minimizing their travel distance. Previous methods for this…

Artificial Intelligence · Computer Science 2025-12-12 Shaoming Peng