A NEW APPROACH TO PROBLEMS OF TRAFFIC FLOW THEORY
Boris S. Kerner, P. Konhäuser, Martin Schilke
Abstract
Boris S. Kerner, P. Konhäuser, Martin Schilke
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.
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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