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Related papers: Simple Parking Strategies

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Suppose that $m$ drivers each choose a preferred parking space in a linear car park with $n$ spots. In order, each driver goes to their chosen spot and parks there if possible, and otherwise takes the next available spot if it exists. If…

Combinatorics · Mathematics 2021-10-06 Mei Yin

We present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. The method exploits the naturally occuring fluctuations of traffic flow and is flexible enough to adapt in real time to…

Statistical Mechanics · Physics 2007-05-23 Bernardo A. Huberman , Dirk Helbing

Assume that a target is known to be present at an unknown point among a finite set of locations in the plane. We search for it using a mobile robot that has imperfect sensing capabilities. It takes time for the robot to move between…

Self-driving vehicles are a maturing technology with the potential to reshape mobility by enhancing the safety, accessibility, efficiency, and convenience of automotive transportation. Safety-critical tasks that must be executed by a…

Robotics · Computer Science 2016-04-27 Brian Paden , Michal Cap , Sze Zheng Yong , Dmitry Yershov , Emilio Frazzoli

Precise and long-term stable localization is essential in parking lots for tasks like autonomous driving or autonomous valet parking, \textit{etc}. Existing methods rely on a fixed and memory-inefficient map, which lacks robust data…

Robotics · Computer Science 2023-10-12 Mingrui Liu , Xinyang Tang , Yeqiang Qian , Jiming Chen , Liang Li

We study a truthful two-facility location problem in which a set of agents have private positions on the line of real numbers and known approval preferences over two different facilities. Given the locations of the two facilities, the cost…

Computer Science and Game Theory · Computer Science 2024-01-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

A new path planning method for Mobile Robots (MR) has been developed and implemented. On the one hand, based on the shortest path from the start point to the goal point, this path planner can choose the best moving directions of the MR,…

Robotics · Computer Science 2016-09-08 Hoc Thai Nguyen , Hai Xuan Le

We deal with the problem of deriving the microscopic equations governing the individual car motion based on the assumptions about the strategy of driver behavior. We suppose the driver behavior to be a result of a certain compromise between…

Soft Condensed Matter · Physics 2009-11-07 Ihor Lubashevsky , Sergey Kalenkov , Reinhard Mahnke

In the strategic facility location problem, a set of agents report their locations in a metric space and the goal is to use these reports to open a new facility, minimizing an aggregate distance measure from the agents to the facility.…

Computer Science and Game Theory · Computer Science 2024-11-06 Eric Balkanski , Vasilis Gkatzelis , Golnoosh Shahkarami

A mobile agent has to reach a target in the Euclidean plane. Both the agent and the target are modeled as points. In the beginning, the agent is at distance at most $D>0$ from the target. Reaching the target means that the agent gets at a…

Data Structures and Algorithms · Computer Science 2017-10-20 Andrzej Pelc

Given the probability measure $\nu$ over the given region $\Omega\subset \R^n$, we consider the optimal location of a set $\Sigma$ composed by $n$ points $\Om$ in order to minimize the average distance $\Sigma\mapsto \int_\Om…

Optimization and Control · Mathematics 2017-11-16 A. Brancolini , G. Buttazzo , F. Santambrogio , E. Stepanov

In a scenario of growing usage of park-and-ride facilities, understanding and predicting car park occupancy is becoming increasingly important. This study presents a model that effectively captures the occupancy patterns of park-and-ride…

Applications · Statistics 2025-10-14 Andreas Kaltenbrunner , Josep Ferrer , David Moreno , Vicenç Gómez

Path planning is an important component in any highly automated vehicle system. In this report, the general problem of path planning is considered first in partially known static environments where only static obstacles are present but the…

Robotics · Computer Science 2018-04-20 Asem Khattab

This paper proposes a local path planning method with a reachable set for Automated vertical Parking Systems (APS). First, given a parking lot layout with a goal position, we define an intermediate pose for the APS to accomplish reverse…

Robotics · Computer Science 2023-08-14 In Hyuk Oh , Ju Won Seo , Jin Sung Kim , Chung Choo Chung

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

Existing parking recommendation solutions mainly focus on finding and suggesting parking spaces based on the unoccupied options only. However, there are other factors associated with parking spaces that can influence someone's choice of…

Information Retrieval · Computer Science 2021-06-15 Mohammad Saiedur Rahaman , Wei Shao , Flora D. Salim , Ayad Turky , Andy Song , Jeffrey Chan , Junliang Jiang , Doug Bradbrook

Automated driving is an active area of research in both industry and academia. Automated Parking, which is automated driving in a restricted scenario of parking with low speed manoeuvring, is a key enabling product for fully autonomous…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Markus Heimberger , Jonathan Horgan , Ciaran Hughes , John McDonald , Senthil Yogamani

In the symmetric rendezvous problem two players follow the same (randomized) strategy to visit one of $n$ locations in each time step $t=0,1,2,\dots$. Their goal is to minimize the expected time until they visit the same location and thus…

Optimization and Control · Mathematics 2026-04-03 Javier Cembrano , Felix Fischer , Max Klimm

As the industry of autonomous driving grows, so does the potential interaction of groups of autonomous cars. Combined with the advancement of Artificial Intelligence and simulation, such groups can be simulated, and safety-critical models…

Machine Learning · Computer Science 2024-02-22 Omar Tanner

We study the facility location problems where agents are located on a real line and divided into groups based on criteria such as ethnicity or age. Our aim is to design mechanisms to locate a facility to approximately minimize the costs of…

Computer Science and Game Theory · Computer Science 2023-06-06 Houyu Zhou , Minming Li , Hau Chan
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