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 and each car leaves at a unit rate. We analyze three parking strategies—meek, prudent, and optimistic—and determine which is optimal.
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- September 2019
- Physics - Physics and Society;
- Condensed Matter - Statistical Mechanics
- 16 pages, 10 figures, IOP format. Revised version has various small corrections and nearly coincides with the published version