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Permanent link (DOI): https://doi.org/10.7939/R3NS0MB4J

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Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models. Open Access

Descriptions

Author or creator
Seibold, B.
Flynn, M.R.
Kasimov, A. R.
Rosales, R.R.
Additional contributors
Subject/Keyword
fundamental diagram
Payne-Whitham
effective flow rate
traveling wave
Aw-Rascle-Zhang
Second order
sensor data
traffic model
jamiton
Type of item
Journal Article (Published)
Language
English
Place
Time
Description
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
2013
DOI
doi:10.7939/R3NS0MB4J
License information
Attribution 4.0 International
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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.
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