Stability of Steady State Solutions in Balanced Vehicular Traffic

Florian Siebel and Wolfram Mauser
Additional contact information
Florian Siebel: University of Munich, Department of Earth and Environmental Sciences
Wolfram Mauser: University of Munich, Department of Earth and Environmental Sciences

A chapter in Traffic and Granular Flow’05, 2007, pp 559-564 from Springer

Abstract: Summary Recently we proposed an extension to the traffic model of Aw, Rascle and Greenberg. The extended traffic model can be written as a hyperbolic system of balance laws and numerically reproduces the reverse λ shape of the fundamental diagram of traffic flow. In the current work we analyze the steady state solutions of the new model and their stability properties. In addition to the equilibrium flow curve the trivial steady state solutions form two additional branches in the flow-density diagram. We show that the characteristic structure excludes parts of these branches resulting in the reverse λ shape of the flow-density relation. The upper branch is metastable against the formation of synchronized flow for intermediate densities and unstable for high densities, whereas the lower branch is unstable for intermediate densities and metastable for high densities. Moreover, the model reproduces the characteristic properties of wide moving jam formation and propagation.

Keywords: Traffic Flow; Steady State Solution; Intermediate Density; Vehicle Density; Stable Branch (search for similar items in EconPapers)
Date: 2007
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_54

Ordering information: This item can be ordered from
http://www.springer.com/9783540476412

DOI: 10.1007/978-3-540-47641-2_54

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().