Permanent link (DOI): https://doi.org/10.7939/R3NS0MB4J
This file is in the following communities:
|Mechanical Engineering, Department of|
This file is in the following collections:
|Journal Articles (Mechanical Engineering)|
Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models. Open Access
- Author or creator
Kasimov, A. R.
- Additional contributors
effective flow rate
- Type of item
- Journal Article (Published)
Fundamental diagrams of vehicular traffic flow are generally multi-valued in the congested flow regime. We show that such set-valued fundamental diagrams can be constructed systematically from simple second order macroscopic traffic models, such as the classical Payne-Whitham model or the inhomogeneous Aw-Rascle-Zhang model. These second order models possess nonlinear traveling wave solutions, called jamitons, and the multi-valued parts in the fundamental diagram correspond precisely to jamiton-dominated solutions. This study shows that transitions from function-valued to set-valued parts in a fundamental diagram arise naturally in well-known second order models. As a particular consequence, these models intrinsically reproduce traffic phases.
- Date created
- License information
- Attribution 4.0 International
- Citation for previous publication
Seibold, B., Flynn, M., Kasimov, A., and Rosales, R. (2013). Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models.. Networks and Heterogeneous Media, 8(3), 745-772.
- Link to related item
- Date Uploaded
- Date Modified
- Audit Status
- Audits have not yet been run on this file.
- not yet characterized