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Related papers: Forward and Reverse Parking in a Parking Lot

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Many studies suggest that searching for parking is associated with significant direct and indirect costs. Therefore, it is appealing to reduce the time which car drivers spend on finding an available parking lot, especially in urban areas…

Applications · Statistics 2021-06-14 Marc Schneble , Göran Kauermann

Searching for a parking spot can waste time and gasoline. This waste can be reduced by assigning drivers to parking lots based on their destination and arrival time. In such a system, drivers could request a parking spot in advance and be…

Optimization and Control · Mathematics 2015-07-14 Nicole Taheri , Jia Yuan Yu , Robert Shorten

There are so many vehicles in the world and the number of vehicles is increasing rapidly. To alleviate the parking problems caused by that, the smart parking system has been developed. The parking planning is one of the most important parts…

Data Structures and Algorithms · Computer Science 2017-08-29 Xuejian Zhao , Kui Zhao , Feng Ha

We present a queuing model of parking dynamics and a model-based prediction method to provide real-time probabilistic forecasts of future parking occupancy. The queuing model has a non-homogeneous arrival rate and time-varying service time…

Machine Learning · Computer Science 2019-09-02 Hamidreza Tavafoghi , Kameshwar Poolla , Pravin Varaiya

Parking sequences (a generalization of parking functions) are defined by specifying car lengths and requiring that a car attempts to park in the first available spot after its preference. If it does not fit there, then a collision occurs…

Combinatorics · Mathematics 2023-01-27 Spencer J. Franks , Pamela E. Harris , Kimberly Harry , Jan Kretschmann , Megan Vance

We investigate simple strategies that embody the decisions that one faces when trying to park near a popular destination. Should one park far from the target (destination), where finding a spot is easy, but then be faced with a long walk,…

Physics and Society · Physics 2020-02-25 P. L. Krapivsky , S. Redner

We introduce a generalization of parking functions in which cars are limited in their movement backwards and forwards by two nonnegative integer parameters $k$ and $\ell$, respectively. In this setting, there are $n$ spots on a one-way…

Combinatorics · Mathematics 2025-03-24 Jennifer Elder , Pamela E. Harris , Lybitina Koene , Ilana Lavene , Lucy Martinez , Molly Oldham

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

Consider $n$ cars $C_1, C_2, \ldots, C_n$ that want to park in a parking lot with parking spaces $1,2,\ldots,n$ that appear in order. Each car $C_i$ has a parking preference $\alpha_i \in \{1,2,\ldots,n\}$. The cars appear in order, if…

Combinatorics · Mathematics 2021-11-29 Melanie Tian , Enrique Treviño

Parking functions correspond with preferences of $n$ cars which enter sequentially to park on a one-way street where (1) each car parks in the first available spot greater than or equal to its preference and (2) all cars successfully park.…

Combinatorics · Mathematics 2024-12-12 Steve Butler , Kimberly Hadaway , Victoria Lenius , Preston Martens , Marshall Moats

An asymmetric exclusion process type process, where cars move forward along a closed road that starts and terminates at a parking garage, displays dynamic phase transitions into two types of condensate phases where the garage becomes…

Statistical Mechanics · Physics 2009-11-07 Meesoon Ha , Marcel den Nijs

Occupied truck parking lots regularly cause hazardous situations. Estimation of current parking lot state could be utilized to provide drivers parking recommendations. In this work, we highlight based on a simulation scenario, how sparse…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Florian Ziegler , Maurice Freund , Andreas Rydzek , Thomas Liebig

The problem of path planning for automated parking is usually presented as finding a collision-free path from initial to goal positions, where three out of four parking slot edges represent obstacles. We rethink the path planning problem…

Robotics · Computer Science 2022-05-06 Jiri Vlasak , Michal Sojka , Zdeněk Hanzálek

Vehicle-sharing systems are becoming important for urban transportation. In these systems, users arrive at a station, pick up a vehicle, use it for a while and then return it to another station of their choice. Depending on the type of…

Probability · Mathematics 2015-04-16 Cédric Bourdais , Christine Fricker

We consider a system of ordered cars moving in $\R$ from right to left. Each car is represented by a point in $\R$; two or more cars can occupy the same point but cannot overpass. Cars have two possible velocities: either 0 or 1. An…

Statistical Mechanics · Physics 2007-07-09 Fredy Castellares Cáceres , Pablo A. Ferrari , Eugene Pechersky

Parking occupancy in the area is defined by three major parameters - the rate of cars arrivals, the dwell time of already parked cars, and the willingness of drivers who are searching but yet did not find a vacant parking spot, to continue…

Physics and Society · Physics 2022-10-27 Aleksey Ogulenko , Itzhak Benenson , Nir Fulman

Smart city research envisions a future in which data-driven solutions and sustainable infrastructure work together to define urban living at the crossroads of urbanization and technology. Within this framework, smart parking systems play an…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Prachi Nandi , Sonakshi Satapathy , Suchismita Chinara

Modeling of headway/spacing between two consecutive vehicles has many applications in traffic flow theory and transport practice. Most known approaches only study the vehicles running on freeways. In this paper, we propose a model to…

Data Analysis, Statistics and Probability · Physics 2009-05-08 Xuexiang Jin , Yuelong Su , Yi Zhang , Li Li

The excessive search for parking, known as cruising, generates pollution and congestion. Cities are looking for approaches that will reduce the negative impact associated with searching for parking. However, adequately measuring the number…

Applications · Statistics 2025-10-08 Daniel Jordon , Robert Hampshire , Tayo Fabusuyi

We investigate parking in a one-dimensional lot, where cars enter at a rate $\lambda$ and each attempts to park close to a target at the origin. Parked cars also depart at rate 1. An entering driver cannot see beyond the parked cars for…

Physics and Society · Physics 2021-09-07 P. L. Krapivsky , S. Redner
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