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Generalized Parking Function Polytopes [PDF]

open access: yesAnnals of Combinatorics, 2023
AbstractA classical parking function of length n is a list of positive integers $$(a_1, a_2, \ldots , a_n)$$ ( a 1 , a 2
Mitsuki Hanada   +2 more
core   +5 more sources

Partial parking functions [PDF]

open access: yesDiscrete Mathematics, 2019
11 pages.
Rui Duarte, António Guedes de Oliveira
openaire   +4 more sources

Non-commutative Frobenius characteristic of generalized parking functions : Application to enumeration [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
We give a recursive definition of generalized parking functions that allows them to be viewed as a species. From there we compute a non-commutative characteristic of the generalized parking function module and deduce some enumeration formulas of ...
Jean-Baptiste Priez, Aladin Virmaux
doaj   +1 more source

Accurate Guidance Method and App Development for Assigning Parking Spaces Based on Indoor Wi-Fi

open access: yesPromet (Zagreb), 2021
Existing parking guidance systems only provide road guidance outside the parking lot but do not provide accurate guidance to specific parking spaces inside the parking lot.
Fuquan Pan   +5 more
doaj   +1 more source

Robust method of shared parking allocation based on buffer time

open access: yesShenzhen Daxue xuebao. Ligong ban, 2022
Shared parking platform determines the parking allocation schemes according to the time windows of parking supplies and parking demands. In order to deal with uncertain situations such as early arrival or delayed departure during parking, the robustness ...
XUE Zhaojie, YUAN Qiufang, JI Kaifeng
doaj   +1 more source

Generalizing Parking Functions with Randomness

open access: yesThe Electronic Journal of Combinatorics, 2022
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 their preferred parking spot is not taken, they take it, if the parking spot is taken, they move forward until they ...
Melanie Tian, Enrique Treviño
openaire   +4 more sources

Vector parking functions with periodic boundaries and rational parking functions

open access: yesJournal of Combinatorial Theory, Series A, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue Cai, Catherine H. Yan
openaire   +4 more sources

Hierarchical Control of Trajectory Planning and Trajectory Tracking for Autonomous Parallel Parking

open access: yesIEEE Access, 2021
For the parallel parking problem in narrow space, this paper proposes a trajectory tracking control method with a novel trajectory planning layer for autonomous parallel parking based on a numerical optimization algorithm and model predictive control. In
Duoyang Qiu   +4 more
doaj   +1 more source

The Number of Prime Parking Functions

open access: yesThe Mathematical Intelligencer, 2023
A parking function of length $n$ is prime if we obtain a parking function of length $n-1$ by deleting one 1 from it. In this note we give a new direct proof that the number of prime parking functions of length $n$ is $(n-1)^{n-1}$. This proof leads to a new interpretation, in close terms to the definition of parking function.
Duarte, Rui   +1 more
openaire   +3 more sources

Don't give thieves an easy ride: a Design Against Crime practice review [PDF]

open access: yes, 2007
Presentation about Bike Off! given at 2007 ECCA conference and the international Crime Science conference (both at UCL). BikeOff is the DAC research strand addressing bicycle theft and secure cycle parking provision. BikeOff is investigating how designed
Thorpe, Adam
core   +5 more sources

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