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The Multi-Objective Shortest Path Problem (MO-SPP), typically posed on a graph, determines a set of paths from a start vertex to a destination vertex while optimizing multiple objectives. In general, there does not exist a single solution…

Optimization and Control · Mathematics 2023-07-11 Valmiki Kothare , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

In this paper we present the first deterministic polynomial time algorithm for determining the existence of a Hamiltonian cycle and finding a Hamiltonian cycle in general graphs. Our algorithm can also solve the Hamiltonian path problem in…

Data Structures and Algorithms · Computer Science 2022-07-12 Aimin Hou

This work addresses a Multi-Objective Shortest Path Problem (MO-SPP) on a graph where the goal is to find a set of Pareto-optimal solutions from a start node to a destination in the graph. A family of approaches based on MOA* have been…

Artificial Intelligence · Computer Science 2022-05-31 Zhongqiang Ren , Richard Zhan , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

Robot path planning plays a pivotal role in enabling autonomous systems to navigate safely and efficiently in complex and uncertain environments. Despite extensive research on classical graph-based methods and sampling-based planners,…

Robotics · Computer Science 2025-11-04 Siyuan Wang , Shuyi Zhang , Zhen Tian , Yuheng Yao , Gongsen Wang , Yu Zhao

This paper explores a rapid, optimal smooth path-planning algorithm for robots (e.g., autonomous vehicles) in point cloud environments. Derivative maps such as dense point clouds, mesh maps, Octomaps, etc. are frequently used for path…

Robotics · Computer Science 2022-11-15 Zhaoliang Zheng , Thomas R. Bewley , Falko Kuester , Jiaqi Ma

School bus planning problem (SBPP) has drawn much research attention due to the huge costs of school transportation. In the literature, the SBPP is usually decomposed into the routing and scheduling subproblems due to its complexity.…

Data Structures and Algorithms · Computer Science 2018-10-01 Ali Shafahi , Zhongxiang Wang , Ali Haghani

This document is a thesis on the subject of single-agent on-line path planning in continuous,unpredictable and highly dynamic environments. The problem is finding and traversing a collision-free path for a holonomic robot, without…

Artificial Intelligence · Computer Science 2009-12-03 Nicolas A. Barriga

Stochastic sequential decision making often requires hierarchical structure in the problem where each high-level action should be further planned with primitive states and actions. In addition, many real-world applications require a plan…

Artificial Intelligence · Computer Science 2022-05-12 Sungkweon Hong , Brian C. Williams

Personalized Route Recommendation (PRR) aims to generate user-specific route suggestions in response to users' route queries. Early studies cast the PRR task as a pathfinding problem on graphs, and adopt adapted search algorithms by…

Artificial Intelligence · Computer Science 2019-07-22 Jingyuan Wang , Ning Wu , Wayne Xin Zhao , Fanzhang Peng , Xin Lin

We present several modifications to the previously proposed MSPP algorithm that can speed-up its execution considerably. The MSPP algorithm leverages a multiscale representation of the environment in $n$ dimensions. The information of the…

Data Structures and Algorithms · Computer Science 2016-02-16 Florian Hauer , Panagiotis Tsiotras

This work presents a novel data-driven path planning algorithm named Instruction-Guided Probabilistic Roadmap (IG-PRM). Despite the recent development and widespread use of mobile robot navigation, the safe and effective travels of mobile…

Robotics · Computer Science 2025-02-25 Jiaqi Bao , Ryo Yonetani

We deal with the problem of planning collision-free trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their…

Robotics · Computer Science 2016-08-10 Michal Čáp , Peter Novák , Alexander Kleiner

Graph-based multi-robot path planning (MRPP) is NP-hard to optimally solve. In this work, we propose the first low polynomial-time algorithm for MRPP achieving 1--1.5 asymptotic optimality guarantees on makespan for random instances under…

Robotics · Computer Science 2022-06-01 Teng Guo , Jingjin Yu

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

Path planning algorithms, such as the search-based A*, are a critical component of autonomous mobile robotics, enabling robots to navigate from a starting point to a destination efficiently and safely. We investigated the resilience of the…

Robotics · Computer Science 2025-12-09 Adrian Szvoren , Jianwei Liu , Dimitrios Kanoulas , Nilufer Tuptuk

In robotics, coordinating a group of robots is an essential task. This work presents the communication-constrained multi-agent multi-goal path planning problem and proposes a graph-search based algorithm to address this task. Given a fleet…

Multiagent Systems · Computer Science 2024-12-19 Jáchym Herynek , Stefan Edelkamp

Path planning is an active area of research essential for many applications in robotics. Popular techniques include graph-based searches and sampling-based planners. These approaches are powerful but have limitations. This paper continues…

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

Classical robot navigation often relies on hardcoded state machines and purely geometric path planners, limiting a robot's ability to interpret high-level semantic instructions. In this paper, we first assess GPT-4's ability to act as a…

Robotics · Computer Science 2025-05-06 Jesse Barkley , Abraham George , Amir Barati Farimani

This study explores the problem of Multi-Agent Path Finding with continuous and stochastic travel times whose probability distribution is unknown. Our purpose is to manage a group of automated robots that provide package delivery services…

Robotics · Computer Science 2023-02-06 Atsuyoshi Kita , Nobuhiro Suenari , Masashi Okada , Tadahiro Taniguchi

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