The generalized bimodal traffic stream model and two regime flow theory
Author
Editor
- J.B. Lesort
Summary, in English
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.
Publishing year
1996
Language
English
Pages
679-696
Publication/Series
Transportation and Traffic Theory. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July, 1996
Document type
Conference paper
Publisher
Pergamon Press Ltd.
Topic
- Mathematics
Keywords
- Road traffic
- Traffic flow
- Modeling
- Theoretical study
- Traffic congestion
- Mathematical model
- International conference
Conference name
13th International Symposium on Transportation and Traffic Theory (ISTTT13 1996)
Conference date
1996-07-24 - 1996-07-26
Conference place
Lyon, France
Status
Published
ISBN/ISSN/Other
- ISBN: 0-080-42586-0
- ISBN: 978-0-080-42586-3