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Random walk theory of jamming in a cellular automaton model for traffic flow

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  • Barlovic, Robert
  • Schadschneider, Andreas
  • Schreckenberg, Michael

Abstract

The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple generalization of the well-known Nagel–Schreckenberg model. In the VDR model one finds a separation between a free flow phase and jammed vehicles. This phase separation allows to use random walk like arguments to predict the resolving probabilities and lifetimes of jam clusters or disturbances. These predictions are in good agreement with the results of computer simulations and even become exact for a special case of the model. Our findings allow a deeper insight into the dynamics of wide jams occuring in the model.

Suggested Citation

  • Barlovic, Robert & Schadschneider, Andreas & Schreckenberg, Michael, 2001. "Random walk theory of jamming in a cellular automaton model for traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(3), pages 525-538.
    • Handle: RePEc:eee:phsmap:v:294:y:2001:i:3:p:525-538
    DOI: 10.1016/S0378-4371(01)00111-X
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    Cited by:

    1. Bazzani, Armando & Giorgini, Bruno & Servizi, Graziano & Turchetti, Giorgio, 2003. "A chronotopic model of mobility in urban spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 517-530.
    2. Qiao, Yan-feng & Xue, Yu & Wang, Xue & Cen, Bing-ling & Wang, Yi & Pan, Wei & Zhang, Yan-xin, 2021. "Investigation of PM emissions in cellular automata model with slow-to-start effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).

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