Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models.
Loading...
Date
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
https://doi.org/10.3934/nhm.2013.8.745
Abstract
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.
Item Type
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85
Alternative
Other License Text / Link
Language
en