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Non-lane-discipline-based car-following model considering the effects of two-sided lateral gaps

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Abstract

This study proposes a new car-following model that considers the effects of two-sided lateral gaps on a road without lane discipline. In particular, a car-following model is proposed to capture the impacts from the lateral gaps of the leading vehicles on both sides of the following vehicle. Linear stability analysis of the proposed model is performed using the perturbation method to obtain the stability condition. Nonlinear analysis is performed using the reductive perturbation method to derive the modified Korteweg de Vries equation to describe the density wave propagation. Results from numerical experiments illustrate that the proposed car-following model has larger stable region compared to a car-following model that considers the effect of lateral gap on only one side. Also, it is able to more rapidly dissipate the effect of a perturbation such as a sudden stimulus from a leading vehicle. In addition, the findings of this study provide insights in analyzing system performance of a non-lane-discipline road system in the future.

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Acknowledgments

Thanks go to the support from the project by the National Natural Science Foundation of China (Grant Nos. 61304197, 61304205), the Scientific and Technological Talents Project of Chongqing (Grant No. cstc2014kjrc-qnrc30002) and the US Department of Transportation through the NEXTRANS Center, the USDOT Region 5 University Transportation Center. The authors are solely responsible for the contents of this paper.

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Authors and Affiliations

  1. Center for Automotive Electronics and Embedded System, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Yongfu Li, Li Zhang, Taixiong Zheng & Yinguo Li

  2. School of Civil Engineering and The NEXTRANS Center, Purdue University, West Lafayette, IN, 47907, USA

    Srinivas Peeta & Xiaozheng He

  3. Department of Automation, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Hongguang Pan

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  1. Yongfu Li
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  2. Li Zhang
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  3. Srinivas Peeta
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  6. Yinguo Li
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Correspondence to Yongfu Li.

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Li, Y., Zhang, L., Peeta, S. et al. Non-lane-discipline-based car-following model considering the effects of two-sided lateral gaps. Nonlinear Dyn 80, 227–238 (2015). https://doi.org/10.1007/s11071-014-1863-6

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  • DOI: https://doi.org/10.1007/s11071-014-1863-6

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