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The generalized bimodal traffic stream model and two regime flow theory

Bui, D.D.; Nelson, P. and Sopasakis, Alexandros LU (1996) 13th International Symposium on Transportation and Traffic Theory (ISTTT13 1996) In Transportation and Traffic Theory. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July, 1996 p.679-696
Abstract
A new generalized bimodal traffic stream model deriving theoretically (i.e., via some underlying model of driver behavior) from (local) equilibrium solutions of a kinetic equation of vehicular traffic is presented and shown to have the correct flow behavior at jam density. This bimodal traffic stream model depends not only on parameters such as the desired speed w, the headway σ(0) at jam density and the minimum acceptable headway σ(w) at the desired speed but also on the probability η(k) that a vehicle located at a point at which the density is k will have a leading vehicle at spatial headway corresponding to the jam density. All of these parameters have some direct microscopic interpretation. Based on this new generalized bimodal traffic... (More)
A new generalized bimodal traffic stream model deriving theoretically (i.e., via some underlying model of driver behavior) from (local) equilibrium solutions of a kinetic equation of vehicular traffic is presented and shown to have the correct flow behavior at jam density. This bimodal traffic stream model depends not only on parameters such as the desired speed w, the headway σ(0) at jam density and the minimum acceptable headway σ(w) at the desired speed but also on the probability η(k) that a vehicle located at a point at which the density is k will have a leading vehicle at spatial headway corresponding to the jam density. All of these parameters have some direct microscopic interpretation. Based on this new generalized bimodal traffic stream model, a novel mathematical theory underlying two-regime traffic stream models, one regime under uncongested free-flow conditions and another during queue discharge, is presented. The behavior of the generalized bimodal traffic stream model at dilute and condensed flow is analyzed, and is shown to have close similarities to some classical traffic stream models, in these respective limits. (Less)
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author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Road traffic, Traffic flow, Modeling, Theoretical study, Traffic congestion, Mathematical model, International conference
in
Transportation and Traffic Theory. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July, 1996
editor
Lesort, J.B.
pages
18 pages
publisher
Pergamon
conference name
13th International Symposium on Transportation and Traffic Theory (ISTTT13 1996)
ISBN
0-080-42586-0
978-0-080-42586-3
language
English
LU publication?
no
id
6366f19b-edbf-46b4-809a-cc3f5139575b (old id 2201942)
date added to LUP
2012-01-03 13:29:38
date last changed
2016-06-29 08:58:15
@inproceedings{6366f19b-edbf-46b4-809a-cc3f5139575b,
  abstract     = {A new generalized bimodal traffic stream model deriving theoretically (i.e., via some underlying model of driver behavior) from (local) equilibrium solutions of a kinetic equation of vehicular traffic is presented and shown to have the correct flow behavior at jam density. This bimodal traffic stream model depends not only on parameters such as the desired speed w, the headway σ(0) at jam density and the minimum acceptable headway σ(w) at the desired speed but also on the probability η(k) that a vehicle located at a point at which the density is k will have a leading vehicle at spatial headway corresponding to the jam density. All of these parameters have some direct microscopic interpretation. Based on this new generalized bimodal traffic stream model, a novel mathematical theory underlying two-regime traffic stream models, one regime under uncongested free-flow conditions and another during queue discharge, is presented. The behavior of the generalized bimodal traffic stream model at dilute and condensed flow is analyzed, and is shown to have close similarities to some classical traffic stream models, in these respective limits.},
  author       = {Bui, D.D. and Nelson, P. and Sopasakis, Alexandros},
  booktitle    = {Transportation and Traffic Theory. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July, 1996},
  editor       = {Lesort, J.B.},
  isbn         = {0-080-42586-0},
  keyword      = {Road traffic,Traffic flow,Modeling,Theoretical study,Traffic congestion,Mathematical model,International conference},
  language     = {eng},
  pages        = {679--696},
  publisher    = {Pergamon},
  title        = {The generalized bimodal traffic stream model and two regime flow theory},
  year         = {1996},
}