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The choice of forward and reverse parking in a parking lot is studied as a stochastic process. An $M/M/c/c$ queueing system is used as an initial framework. We use Monte Carlo simulation to get the relationship between vehicle orientation…

Physics and Society · Physics 2019-10-01 Kexin Xie , Myron Hlynka

This paper presents a minimum displacement motion planning problem wherein obstacles are displaced by a minimum amount to find a feasible path. We define a metric for robot-obstacle intersection that measures the extent of the intersection…

Robotics · Computer Science 2022-04-28 Antony Thomas , Fulvio Mastrogiovanni

Parking is a necessary component of traditional last-mile delivery practices, but finding parking can be difficult. Yet, the routing literature largely does not account for the need to find parking. In this paper, we address this challenge…

Optimization and Control · Mathematics 2022-02-02 Sara Reed , Ann Melissa Campbell , Barrett W. Thomas

We study ordinal makespan scheduling on small numbers of identical machines, with respect to two parallel solutions. In ordinal scheduling, it is known that jobs are sorted by non-increasing sizes, but the specific sizes are not known in…

Data Structures and Algorithms · Computer Science 2022-10-17 Leah Epstein

Narrow passage path planning is a prevalent problem from industrial to household sites, often facing difficulties in finding feasible paths or requiring excessive computational resources. Given that deep penetration into the environment can…

Robotics · Computer Science 2024-10-29 Minji Lee , Jeongmin Lee , Dongjun Lee

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

This paper presents a Segmented Trajectory Optimization (STO) method for autonomous parking, which refines an initial trajectory into a dynamically feasible and collision-free one using an iterative SQP-based approach. STO maintains the…

Robotics · Computer Science 2025-09-05 Hang Yu , Renjie Li

This paper addresses a fuel-constrained, autonomous vehicle path planning problem in the presence of multiple refueling stations. We are given a set of targets, a set of refueling stations, and a depot where $m$ vehicles are stationed. The…

Systems and Control · Computer Science 2018-07-30 Kaarthik Sundar , Saravanan Venkatachalam , Sivakumar Rathinam

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub

Platooning of vehicles is a promising approach for reducing fuel consumption, increasing vehicle safety, and using road space more efficiently. We consider the important but difficult problem of assigning optimal routes and departure…

Optimization and Control · Mathematics 2021-08-19 Fengqiao Luo , Jeffrey Larson

Structural dimensional inspection is vital for the process monitoring, quality control, and fault diagnosis in the mass production of auto bodies. Comparing with the non-contact measurement, the high-precision five-axis measuring machine…

Robotics · Computer Science 2020-05-19 Yinhua Liu , Wenzheng Zhao , Rui Sun , Xiaowei Yue

Motion planning can be cast as a trajectory optimisation problem where a cost is minimised as a function of the trajectory being generated. In complex environments with several obstacles and complicated geometry, this optimisation problem…

Robotics · Computer Science 2023-08-09 Lucas Barcelos , Tin Lai , Rafael Oliveira , Paulo Borges , Fabio Ramos

The number of vehicles on the road is growing every day, thus there's a growing need to develop effective and hassle-free parking systems. Finding a parking space may be a big challenge, especially in crowded cities or areas with scheduled…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Ridhi Choudhary , Arnav Sanjay Sinha , Krishna Jaiswal , Anurag Chandra

This work deals with the problem of planning conflict-free paths for mobile robots in cluttered environments. Since centralized, coupled planning algorithms are computationally intractable for large numbers of robots, we consider decoupled…

Robotics · Computer Science 2019-08-08 Wenying Wu , Subhrajit Bhattacharya , Amanda Prorok

In this paper, we develop a method to detect vacant parking spaces in an environment with unclear segments and contours with the help of MATLAB image processing capabilities. Due to the anomalies present in the parking spaces, such as…

Image and Video Processing · Electrical Eng. & Systems 2018-03-14 Chetan Sai Tutika , Charan Vallapaneni , Karthik R , Bharath KP , N Ruban Rajesh Kumar Muthu

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

In this paper, we present a bilevel optimal motion planning (BOMP) model for autonomous parking. The BOMP model treats motion planning as an optimal control problem, in which the upper level is designed for vehicle nonlinear dynamics, and…

Robotics · Computer Science 2023-12-04 Shenglei Shi , Youlun Xiong , Jiankui Chen , Caihua Xiong

While real-time parking slot detection plays a critical role in valet parking systems, existing methods have limited success in real-world applications. We argue two reasons accounting for the unsatisfactory performance: \romannumeral1, The…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Zizhang Wu , Weiwei Sun , Man Wang , Xiaoquan Wang , Lizhu Ding , Fan Wang

The aim of coordinated planning is to avoid robot-to-robot collisions in a multi-robot system, and there are two standard solution approaches: centralized planning and decoupled planning. Our first contribution is a decoupled planning…

Robotics · Computer Science 2024-01-17 Jonas Wittmann , Franziska Ochsenfarth , Valentin Sonneville , Daniel Rixen

This article presents an in-depth review of the topic of path following for autonomous robotic vehicles, with a specific focus on vehicle motion in two dimensional space (2D). From a control system standpoint, path following can be…