Analytical Results for a Small Multiple-Layer Parking System
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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 this result applies to all finite parking systems with n ≥ 2.
KeywordsCar parking problem Multi-layer car parking Particle deposition Random sequential adsorption
This research was partially supported by the Radiocommunications Agency of the Netherlands.
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