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A Comparison of a Cellular Automaton and a Macroscopic Model

  • Conference paper
Traffic and Granular Flow ’03

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.

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References

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering ESAT-SCD (SISTA), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium

    S. Maerivoet & B. De Moor

  2. Transport & Mobility Leuven, Tervuursevest 54 bus 4, B-3000, Leuven, Belgium

    S. Logghe

  3. Department of Civil Engineering (Transportation Planning and Highway Engineering), Katholieke Universiteit Leuven, Kasteelpark Arenberg 40, B-3001, Leuven, Belgium

    B. Immers

Authors
  1. S. Maerivoet
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  2. S. Logghe
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  3. B. De Moor
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  4. B. Immers
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Editor information

Editors and Affiliations

  1. Faculty of Civil Engineering and Geosciences, Delft University of Technology, Stevinweg 1, 2628 CN, Delft, The Netherlands

    Serge P. Hoogendoorn

  2. Particle Technology, DelftChemTech, TU Delft, Julianalaan 136, 2628 BL, Delft, The Netherlands

    Stefan Luding

  3. Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048, 2600 GA, Delft, The Netherlands

    Piet H. L. Bovy

  4. Physik von Transport und Verkehr, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Michael Schreckenberg

  5. Theoretische Physik, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Dietrich E. Wolf

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© 2005 Springer-Verlag Berlin Heidelberg

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Maerivoet, S., Logghe, S., De Moor, B., Immers, B. (2005). A Comparison of a Cellular Automaton and a Macroscopic Model. In: Hoogendoorn, S.P., Luding, S., Bovy, P.H.L., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow ’03. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28091-X_16

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