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Traffic updating mechanisms for stochastic lattice-free dynamics

Sopasakis, Alexandros LU (2013) In Procedia - Social and Behavioral Sciences 80. p.837-845
Abstract
We introduce a novel lattice-free stochastic process which models vehicular traffic at the microscopic level. Vehicles are allowed to advance freely within their lane or change lanes without the limitation of lattice cells. Vehicles move under the influence of modified yet classical stochastic spin-flip and spin-exchange Arrhenius dynamic potentials. A modification of the well-known kinetic Monte Carlo algorithm produces the solution for these dynamics in real-time

even for the case of a large traffic stream.

An interesting, yet not-widely known discrepancy is revealed between lattice-based solutions and those produced by this new lattice-free approach. This discrepancy is mainly visible for high vehicle densities while... (More)
We introduce a novel lattice-free stochastic process which models vehicular traffic at the microscopic level. Vehicles are allowed to advance freely within their lane or change lanes without the limitation of lattice cells. Vehicles move under the influence of modified yet classical stochastic spin-flip and spin-exchange Arrhenius dynamic potentials. A modification of the well-known kinetic Monte Carlo algorithm produces the solution for these dynamics in real-time

even for the case of a large traffic stream.

An interesting, yet not-widely known discrepancy is revealed between lattice-based solutions and those produced by this new lattice-free approach. This discrepancy is mainly visible for high vehicle densities while both solutions agree otherwise. Employing the Palasti conjecture however reveals that indeed the new proposed lattice-free process is correct in predicting traffic densities while avoiding the overestimates produced by classic Cellular Automata type, lattice-based,

approaches. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
lattice-free, Arhenius, stochastic microscopic dynamics, Monte Carlo
in
Procedia - Social and Behavioral Sciences
volume
80
pages
837 - 845
publisher
Elsevier
external identifiers
  • wos:000360732900043
ISSN
1877-0428
DOI
10.1016/j.sbspro.2013.05.045
language
English
LU publication?
yes
id
ad7928fe-be5a-4359-aa7c-6248a114905f (old id 4002270)
alternative location
http://www.sciencedirect.com/science/article/pii/S1877042813010148
date added to LUP
2013-09-26 13:27:06
date last changed
2018-11-21 20:33:06
@article{ad7928fe-be5a-4359-aa7c-6248a114905f,
  abstract     = {We introduce a novel lattice-free stochastic process which models vehicular traffic at the microscopic level. Vehicles are allowed to advance freely within their lane or change lanes without the limitation of lattice cells. Vehicles move under the influence of modified yet classical stochastic spin-flip and spin-exchange Arrhenius dynamic potentials. A modification of the well-known kinetic Monte Carlo algorithm produces the solution for these dynamics in real-time<br/><br>
even for the case of a large traffic stream.<br/><br>
An interesting, yet not-widely known discrepancy is revealed between lattice-based solutions and those produced by this new lattice-free approach. This discrepancy is mainly visible for high vehicle densities while both solutions agree otherwise. Employing the Palasti conjecture however reveals that indeed the new proposed lattice-free process is correct in predicting traffic densities while avoiding the overestimates produced by classic Cellular Automata type, lattice-based,<br/><br>
approaches.},
  author       = {Sopasakis, Alexandros},
  issn         = {1877-0428},
  keyword      = {lattice-free,Arhenius,stochastic microscopic dynamics,Monte Carlo},
  language     = {eng},
  pages        = {837--845},
  publisher    = {Elsevier},
  series       = {Procedia - Social and Behavioral Sciences},
  title        = {Traffic updating mechanisms for stochastic lattice-free dynamics},
  url          = {http://dx.doi.org/10.1016/j.sbspro.2013.05.045},
  volume       = {80},
  year         = {2013},
}