Simple Parking Strategies
arXiv:1904.06612 · doi:10.1088/1742-5468/ab3a2a
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 , cars enter the system from the right at a rate and each car leaves at a unit rate. We analyze three parking strategies---meek, prudent, and optimistic---and determine which is optimal.
arXiv comment16 pages, 10 figures, IOP format. Revised version has various small corrections and nearly coincides with the published version
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