1996Unpublished venueRequires access

A NEW APPROACH TO PROBLEMS OF TRAFFIC FLOW THEORY

Boris S. Kerner, P. Konhäuser, Martin Schilke

Open publisher page 18 citations

Abstract

The problems of modelling traffic flow when approaching maximum capacity are outlined and a new approach developed by the authors is described. This method allows for the spontaneous formation of different kinds of localised structures in traffic flow as congestion increases. A comprehensive macroscopic model of traffic flow based on a 'Navier-Stokes-like' equation is is first considered. The decisive role of localised perturbation is then described which forms local clusters of vehicles of 3 types, a) a traffic jam, b) a low density traffic downstream which is formed by the jam and c) a transition layer between the low density traffic and the initial traffic flow. Diagrams of the different states of traffic flow are discussed. For the covering abstract see IRRD 886400.

About this research paper

What this paper is about

The problems of modelling traffic flow when approaching maximum capacity are outlined and a new approach developed by the authors is described. This method allows for the spontaneous formation of different kinds of localised structures in traffic flow as congestion increases. A comprehensive macroscopic model of traffic flow based on a 'Navier-Stokes-like' equation is is first considered. The decisive role of localised perturbation is then described which forms local clusters of vehicles of 3 types, a) a traffic jam, b) a low density traffic downstream which is formed by the jam and c) a transition layer between the low density traffic and the initial traffic flow. Diagrams of the different states of traffic flow are discussed. For the covering abstract see IRRD 886400.

Why it matters

OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The problems of modelling traffic flow when approaching maximum capacity are outlined and a new approach developed by the authors is described. This method allows for the spontaneous formation of different kinds of localised structures in traffic flow as congestion increases. A comprehensive macroscopic model of traffic flow based on a 'Navier-Stokes-like' equation is is first considered. The decisive role of localised perturbation is then described which forms local clusters of vehicles of 3 types, a) a traffic jam, b) a low density traffic downstream which is formed by the jam and c) a transition layer between the low density traffic and the initial traffic flow. Diagrams of the different states of traffic flow are discussed. For the covering abstract see IRRD 886400.

Key concepts: Three-phase traffic theory, Traffic flow (computer networking), Microscopic traffic flow model, Traffic congestion reconstruction with Kerner's three-phase theory, Flow (mathematics), Traffic congestion, Traffic model, Traffic wave

Related papers

Back to paper searchBrowse research topicsOriginal source
A NEW APPROACH TO PROBLEMS OF TRAFFIC FLOW THEORY — Research Paper | ScholarLens