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arXiv · 1904.06612

Simple Parking Strategies

P. L. Krapivsky·S. Redner
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Abstract

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, or should one attempt to look for a desirable spot close to the target, where spots may be hard to find? We study an idealized parking process on a one-dimensional geometry where the desired target is located at $x=0$, cars enter the system from the right at a rate $λ$ and each car leaves at a unit rate. We analyze three parking strategies---meek, prudent, and optimistic---and determine which is optimal.

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BibTeXRIS

P. L. Krapivsky, S. Redner. 2020-02-23. Simple Parking Strategies. https://doi.org/10.1088/1742-5468%2Fab3a2a

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