Linking Cellular Automata and Optimal-Velocity Models Through Wave Selections at Bottlenecks

Peter Berg and Justin Findlay
Additional contact information
Peter Berg: University of Ontario Institute of Technology, Faculty of Science
Justin Findlay: University of Ontario Institute of Technology, Faculty of Science

A chapter in Traffic and Granular Flow’05, 2007, pp 515-520 from Springer

Abstract: Summary A bottleneck simulation of road traffic on a loop, using the cellular automata Nagel-Schreckenberg model (with p = 0), reveals three types of stationary wave solutions. They consist of i) two shock waves at the bottleneck boundaries, ii) one shock wave at the boundary and one on the “open” road and iii) the trivial solution, i.e. homogeneous, uniform flow. These solutions are selected dynamically from a range of stationary wave solutions, similar in fashion to the wave selection in a bottleneck simulation of the optimal-velocity model. This is yet another indication that CA and OV models share certain underlying dynamics, although the former are discrete in space and time while the latter are continuous.

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_48

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

DOI: 10.1007/978-3-540-47641-2_48

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 ().