Integrated modelling and numerical treatment of freeway flow

Panos G. Michalopoulos, Jawkuan Lin, Dimitrios E. Beskos

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The effectiveness of macroscopic dynamic freeway flow models at both uninterrupted and interrupted flow conditions is tested. Model implementation is made by finite difference methods developed here for solving the system's governing equations. These schemes are more effective than existing numerical methods, particularly when generation terms are introduced. The modelling alternatives and numerical solution algorithms are compared by employing a data base generated through microscopic simulation. Despite the effectiveness of the proposed numerical treatments, substantial deviations from the data at interrupted flows are still noticeable. In order to improve performance when flow is interrupted, we develop a modelling methodology that takes into account the ramp-freeway interactions so that all freeway components are treated as a system. We show that the coupling effects of the merging traffic streams are significant. Finally, the incremental benefits of using the more sophisticated high-order continuum models are assessed.

Original languageEnglish (US)
Pages (from-to)447-457
Number of pages11
JournalApplied Mathematical Modelling
Issue number6
StatePublished - Dec 1987

Bibliographical note

Funding Information:
This research was supported by NSF Grant CEE 8210189P. reliminaryt estinga nd validationw as perfor-medb y Mr. Y. Yamauchi,w ho is currentlyw ith theJ apan Highway Corporation,T okyo, Japan.


  • free way flow
  • freeway modelling
  • macroscopic traffic flow dynamics
  • traffic simulation


Dive into the research topics of 'Integrated modelling and numerical treatment of freeway flow'. Together they form a unique fingerprint.

Cite this