Abstract We propose a theoretical construction of the master model for the deterministic microscopic traffic models with the assumption of identical drivers. The construction is based on a renormalisation like procedure that integrates out unimportant degrees of freedom. This leads to a universal mathematical structure of such models, enabling us to carry out a controlled expansion, allowing all deterministic microscopic traffic models to be compared and classified systematically. We illustrate the controlled expansion with a few examples. The theoretical construction also paves the way for us to obtain the master model from the microscopic empirical data, which will be discussed in A General Scheme for Deterministic Microscopic Traffic Models. Part II: Empirical Verifications.
A General Scheme for Deterministic Microscopic Traffic Models. Part I: Theoretical Construction
Traffic and Granular Flow '15 ; 451-458
01.01.2016
8 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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