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A General Scheme for Deterministic Microscopic Traffic Models. Part I: Theoretical Construction

In: Traffic and Granular Flow '15

Author

Listed:
  • Bo Yang

    (Institute of High Performance Computing, A*STAR, Complex Systems Group)

  • Christopher Monterola

    (Institute of High Performance Computing, A*STAR, Complex Systems Group)

Abstract

WeYang, Bo propose a theoretical constructionMonterola, Christopher 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.

Suggested Citation

  • Bo Yang & Christopher Monterola, 2016. "A General Scheme for Deterministic Microscopic Traffic Models. Part I: Theoretical Construction," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 451-458, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33482-0_57
    DOI: 10.1007/978-3-319-33482-0_57
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