Simple parking strategies

@article{Krapivsky2019SimplePS,
  title={Simple parking strategies},
  author={Paul L. Krapivsky and Sidney Redner},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2019}
}
  • P. Krapivsky, S. Redner
  • Published 14 April 2019
  • Education
  • Journal of Statistical Mechanics: Theory and Experiment
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… 
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10 Citations
Background Citations
3
Methods Citations
2
Results Citations
1

10 Citations

Citation Type

Citation Type

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References

SHOWING 1-10 OF 44 REFERENCES
Finding available parking spaces made easy
A Parking Search Model
A model to describe the choice of parking places
Intelligent parking systems
A REVIEW OF URBAN CAR PARKING MODELS
Car parking is an issue of significance both at the local and at the strategic level of planning. Parking policy and supply play a major role in the management of transportation systems in dense…
Choice of parking: Stated preference approach
Over recent years, parking policy has become a key element of transport policy in many countries. Parking policy measures can affect many different dimensions of travel behaviour but are likely to be…
Glassy behavior of the parking lot model
We present a theoretical discussion of the reversible parking problem, which appears to be one of the simplest systems exhibiting glassy behavior. The existence of slow relaxation, nontrivial…
Who Solved the Secretary Problem
TLDR
The object of this article is to give a fresh view of the origins of the problem, touching upon Cayley and Kepler, and review of the field (listing the subfields of recent interest), partly serious (to answer the question posed in the title), and partly entertainment.
Reversible polydisperse parking lot model.
TLDR
An improved reversible parking lot model is used to study the compaction of vibrated polydisperse media and a self-consistent desorption mechanism with a hierarchical initialization of the system is introduced to approach densities close to unity.
Coverage fluctuations in theater models
We introduce the theater model, which is the simplest variant of directed random sequential adsorption in one dimension with point source and steric interactions. Particles enter sequentially an…
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