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The effect of lateral interaction on traffic flow

Author

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  • Bouadi, M.
  • Jetto, K.
  • Benyoussef, A.
  • Kenz, A.

Abstract

We propose an extended cellular automaton model for traffic flow, taking into account lateral interactions with defects and between vehicles. The fundamental diagram for a given defects density on the road is studied. It is found that the plateau size increases linearly with the decreasing road width for little defects densities. Furthermore, the capacity increases linearly with the increasing road width. However, for a fixed road width, the capacity decreases exponentially with the increasing defects density. The lateral effects for non-mutual interactions between lanes and for the same maximal velocity is also investigated. It is found that the lateral effects on one lane are meaningful only when the density on the other lane is above the critical density. However, the lateral effects are always present if fast and slow lanes exist. Little differences have been found for the mutual interactions.

Suggested Citation

  • Bouadi, M. & Jetto, K. & Benyoussef, A. & Kenz, A., 2016. "The effect of lateral interaction on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 76-87.
    • Handle: RePEc:eee:phsmap:v:460:y:2016:i:c:p:76-87
    DOI: 10.1016/j.physa.2016.04.039
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    References listed on IDEAS

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    1. Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2006. "Delays, inaccuracies and anticipation in microscopic traffic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(1), pages 71-88.
    2. Schadschneider, Andreas, 2006. "Cellular automata models of highway traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 142-150.
    3. Zheng, Liang & Zhong, Shiquan & Jin, Peter J. & Ma, Shoufeng, 2012. "Influence of lateral discomfort on the stability of traffic flow based on visual angle car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5948-5959.
    4. Gunay, Banihan, 2007. "Car following theory with lateral discomfort," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 722-735, August.
    5. Rickert, M. & Nagel, K. & Schreckenberg, M. & Latour, A., 1996. "Two lane traffic simulations using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(4), pages 534-550.
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    Cited by:

    1. Huiming Duan & Xinping Xiao & Lingling Pei, 2017. "Forecasting the Short-Term Traffic Flow in the Intelligent Transportation System Based on an Inertia Nonhomogenous Discrete Gray Model," Complexity, Hindawi, vol. 2017, pages 1-16, July.
    2. Simão, Ricardo & Wardil, Lucas, 2021. "Social dilemma in traffic with heterogeneous drivers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    3. Simão, Ricardo, 2021. "Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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