Traffic updating mechanisms for stochastic lattice-free dynamics
(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:
https://lup.lub.lu.se/record/4002270
- author
- Sopasakis, Alexandros LU
- organization
- publishing date
- 2013
- 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
- 2016-04-01 15:05:41
- 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}},
keywords = {{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}},
doi = {{10.1016/j.sbspro.2013.05.045}},
volume = {{80}},
year = {{2013}},
}