Exact Finite-Length Theory of Uniform Car Parking: Spatial Laws, Absorption, and Aggregation
IndustryAI 50
Source: arXiv cs.ROPublish time unverified
arXiv:2608.22671v1 Announce Type: new Abstract: The uniform car-parking process is the one-dimensional random sequential adsorption of unit cars on a segment of finite length $s$: cars arrive at uniformly random positions and park wherever they fit, until no gap admits another. This paper develops the exact finite-$s$ theory.