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A Comparison of a Cellular Automaton and a Macroscopic Model

In: Traffic and Granular Flow ’03

Author

Listed:
  • S. Maerivoet

    (Katholieke Universiteit Leuven, Department of Electrical Engineering ESAT-SCD (SISTA))

  • S. Logghe

    (Transport & Mobility Leuven)

  • B. De Moor

    (Katholieke Universiteit Leuven, Department of Electrical Engineering ESAT-SCD (SISTA))

  • B. Immers

    (Katholieke Universiteit Leuven, Department of Civil Engineering (Transportation Planning and Highway Engineering))

Abstract

Summary In this paper we describe a relation between a microscopic stochastic traffic cellular automaton model (i.e., the STCA) and the macroscopic first-order continuum model (i.e., the LWR model). The innovative aspect is that we explicitly incorporate the STCA's stochasticity in the construction of the fundamental diagram used by the LWR model. We apply our methodology to a small case study, giving a comparison of both models, based on simulations, numerical, and analytical calculations of their tempo-spatial behavior.

Suggested Citation

  • S. Maerivoet & S. Logghe & B. De Moor & B. Immers, 2005. "A Comparison of a Cellular Automaton and a Macroscopic Model," Springer Books, in: Serge P. Hoogendoorn & Stefan Luding & Piet H. L. Bovy & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’03, pages 199-204, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-28091-0_16
    DOI: 10.1007/3-540-28091-X_16
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