Analytical Results for a Small Multiple-layer Parking System
Probability
2013-06-06 v1
Abstract
in this article a multilayer parking system of size n=3 is studied. We prove that the asymptotic limit of the particle density in the center approaches a maximum of 1/2 in higher layers. This means a significant increase of capacity compared to the first layer where this value is 1/3. This is remarkable because the process is solely driven by randomness. We conjecture that the results applies to all finite parking systems with n larger or equal than 2.
Cite
@article{arxiv.1306.1054,
title = {Analytical Results for a Small Multiple-layer Parking System},
author = {Sjoert Fleurke and Aernout C. D. van Enter},
journal= {arXiv preprint arXiv:1306.1054},
year = {2013}
}
Comments
To be presented at the 2013 Rhodes Conference on Applied Mathematics and Computational Methods in Engineering