Stochastic modeling and simulation of traffic flow: asymmetric single exclusion process with Arrhenius look-ahead dynamics
(2006) In SIAM Journal on Applied Mathematics 66(3). p.921-944- Abstract
- A novel traffic flow model based on stochastic microscopic dynamics is introduced and analyzed. Vehicles advance based on the energy profile of their surrounding traffic implementing the "look-ahead" rule and following an underlying asymmetric exclusion process with Arrhenius spin-exchange dynamics. Monte Carlo simulations produce numerical solutions of the microscopic traffic model. Fluctuations play an important role in profiling observationally documented but, at the simulation level, elusive traffic phenomena. Furthermore, based on scaling and limit arguments we obtain a macroscopic description of this microscopic dynamics formulation which up to leading term of the expansions takes the form of integrodifferential Burgers or... (More)
- A novel traffic flow model based on stochastic microscopic dynamics is introduced and analyzed. Vehicles advance based on the energy profile of their surrounding traffic implementing the "look-ahead" rule and following an underlying asymmetric exclusion process with Arrhenius spin-exchange dynamics. Monte Carlo simulations produce numerical solutions of the microscopic traffic model. Fluctuations play an important role in profiling observationally documented but, at the simulation level, elusive traffic phenomena. Furthermore, based on scaling and limit arguments we obtain a macroscopic description of this microscopic dynamics formulation which up to leading term of the expansions takes the form of integrodifferential Burgers or higher-order dispersive partial differential equations. We outline connections and comparisons of the hierarchical models presented here (microscopic, macroscopic) with other well-known traffic flow models. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2201826
- author
- Sopasakis, Alexandros LU and Katsoulakis, Markos
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- traffic flow, Monte Carlo simulations, look-ahead stochastic Arrhenius microscopic dynamics
- in
- SIAM Journal on Applied Mathematics
- volume
- 66
- issue
- 3
- pages
- 921 - 944
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- scopus:33745642938
- ISSN
- 0036-1399
- DOI
- 10.1137/040617790
- language
- English
- LU publication?
- no
- id
- 7afffef4-eb88-43a7-844b-8610d84fbbab (old id 2201826)
- date added to LUP
- 2016-04-01 11:43:23
- date last changed
- 2022-04-05 03:52:18
@article{7afffef4-eb88-43a7-844b-8610d84fbbab,
abstract = {{A novel traffic flow model based on stochastic microscopic dynamics is introduced and analyzed. Vehicles advance based on the energy profile of their surrounding traffic implementing the "look-ahead" rule and following an underlying asymmetric exclusion process with Arrhenius spin-exchange dynamics. Monte Carlo simulations produce numerical solutions of the microscopic traffic model. Fluctuations play an important role in profiling observationally documented but, at the simulation level, elusive traffic phenomena. Furthermore, based on scaling and limit arguments we obtain a macroscopic description of this microscopic dynamics formulation which up to leading term of the expansions takes the form of integrodifferential Burgers or higher-order dispersive partial differential equations. We outline connections and comparisons of the hierarchical models presented here (microscopic, macroscopic) with other well-known traffic flow models.}},
author = {{Sopasakis, Alexandros and Katsoulakis, Markos}},
issn = {{0036-1399}},
keywords = {{traffic flow; Monte Carlo simulations; look-ahead stochastic Arrhenius microscopic dynamics}},
language = {{eng}},
number = {{3}},
pages = {{921--944}},
publisher = {{Society for Industrial and Applied Mathematics}},
series = {{SIAM Journal on Applied Mathematics}},
title = {{Stochastic modeling and simulation of traffic flow: asymmetric single exclusion process with Arrhenius look-ahead dynamics}},
url = {{http://dx.doi.org/10.1137/040617790}},
doi = {{10.1137/040617790}},
volume = {{66}},
year = {{2006}},
}