Intersections Modeling with a Class of “Second-Order” Models for Vehicular Traffic Flow

M. Herty (), S. Moutari () and M. Rascle ()
Additional contact information
M. Herty: Fachbereich Mathematik TU Kaiserslautern
S. Moutari: Université de Nice-Sophia Antipolis, Laboratoire J.-A. Dieudonné, UMR CNRS 6621
M. Rascle: University of Nice-Sophia, Laboratoire J.-A. Dieudonné UMR CNRS 6621

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 755-763 from Springer

Abstract: In a recent paper, Herty and Rascle (SIAM J. Appl. Math. 38:595–616, 2006) introduced some coupling conditions to model road junctions with the Aw–Rascle traffic flow model (Aw and Rascle, SIAM J. Appl. Math. 60:916–944, 2000). In this chapter, we study an extension of the work in Herty and Rascle (SIAM J. Appl. Math. 38:595–616, 2006). Here, in contrast to Herty and Rascle (SIAM J. Appl. Math. 38:595–616, 2006), we propose a general formulation for suitable coupling conditions at an intersection, without imposing any fixed mixture principle. The solution conserves mass and “pseudomomentum” and additionally maximizes the total (mass) flux at an intersection. This problem has been completely solved in the cases of 2 → 1 (merge) and 1 → 2 (diverge) junctions. Furthermore these two simple cases of merging and diverging junctions can be combined to model more complex junctions, like roundabouts.

Keywords: Road Network; Riemann Problem; Coupling Condition; Entropy Solution; Level Curve (search for similar items in EconPapers)
Date: 2008
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:978-3-540-75712-2_77

Ordering information: This item can be ordered from
http://www.springer.com/9783540757122

DOI: 10.1007/978-3-540-75712-2_77

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 ().