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Cellular automata model simulating traffic car accidents in the on-ramp system

Author

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  • H. Echab

    (Laboratoire de Magnétisme et de Physique des Hautes Energies (URAC 12), Département de physique, B.P. 1014, Faculté des sciences, Université Mohammed V Agdal, Rabat, Morocco)

  • N. Lakouari

    (Laboratoire de Magnétisme et de Physique des Hautes Energies (URAC 12), Département de physique, B.P. 1014, Faculté des sciences, Université Mohammed V Agdal, Rabat, Morocco)

  • H. Ez-Zahraouy

    (Laboratoire de Magnétisme et de Physique des Hautes Energies (URAC 12), Département de physique, B.P. 1014, Faculté des sciences, Université Mohammed V Agdal, Rabat, Morocco)

  • A. Benyoussef

    (Laboratoire de Magnétisme et de Physique des Hautes Energies (URAC 12), Département de physique, B.P. 1014, Faculté des sciences, Université Mohammed V Agdal, Rabat, Morocco)

Abstract

In this paper, using Nagel–Schreckenberg model we study the on-ramp system under the expanded open boundary condition. The phase diagram of the two-lane on-ramp system is computed. It is found that the expanded left boundary insertion strategy enhances the flow in the on-ramp lane. Furthermore, we have studied the probability of the occurrence of car accidents. We distinguish two types of car accidents: the accident at the on-ramp site(Prc)and the rear-end accident in the main road(Pac). It is shown that car accidents at the on-ramp site are more likely to occur when traffic is free on roadA. However, the rear-end accidents begin to occur above a critical injecting rateαc1. The influence of the on-ramp length(LB)and position(xC0)on the car accidents probabilities is studied. We found that largeLBorxC0causes an important decrease of the probabilityPrc. However, only largexC0provokes an increase of the probabilityPac. The effect of the stochastic randomization is also computed.

Suggested Citation

  • H. Echab & N. Lakouari & H. Ez-Zahraouy & A. Benyoussef, 2015. "Cellular automata model simulating traffic car accidents in the on-ramp system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(09), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:09:n:s0129183115501004
    DOI: 10.1142/S0129183115501004
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    Cited by:

    1. Changtao-Jiang, & Rongjun-Cheng, & Hongxia-Ge,, 2019. "Mean-field flow difference model with consideration of on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 465-476.

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