Abstract The objective of this study is to model the complex behavior of non-lane based heterogeneous traffic which is predominantly occupied by vehicles with varying physical and dynamical characteristics and their staggered car following behavior. This study proposes a new continuum model by considering the properties of two-sided lateral gap in a non-lane based heterogeneous traffic stream. The model is built on a strong empirical background and modified car following theory. In particular, the model consists of density dependent disturbance propagation speed, viscosity term and a frictional clearance term to describe the complex vehicular interactions in a traffic stream. Viscosity term in the model represents the driver’s reaction to a sudden change in density and further, it helps in smoothening out the shock fronts. Frictional clearance term in the model considers the effect of slow moving vehicles on the dynamics of fast moving vehicles. The results of mathematical and numerical analysis show that the proposed model satisfies all the qualitative and physical properties of the real world system. Moreover, two sided lateral gap in the model improves the stability region of traffic flow and increases the capacity and density of traffic stream. In addition, it is able to dissipate the traffic perturbation rapidly when compared to one-sided lateral gap model. It is anticipated that the new model provides the basis for evaluating alternative transport policy measures and helps in analyzing the system performance in the future.

中文翻译：

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非车道异构交通环境的两侧横向间隙连续体模型及其数值模拟

摘要 本研究的目的是模拟非基于车道的异构交通的复杂行为，这些交通主要由具有不同物理和动态特性的车辆及其交错的跟车行为所占据。本研究通过考虑基于非车道的异构交通流中两侧横向间隙的特性，提出了一种新的连续体模型。该模型建立在强大的经验背景和修改后的汽车跟随理论之上。特别是，该模型由密度相关扰动传播速度、粘度项和摩擦间隙项组成，用于描述交通流中复杂的车辆相互作用。模型中的粘度项代表驾驶员对密度突然变化的反应，此外，它还有助于平滑冲击波前沿。模型中的摩擦间隙项考虑了缓慢移动的车辆对快速移动车辆动力学的影响。数学和数值分析结果表明，所提出的模型满足现实世界系统的所有定性和物理特性。此外，模型中的两侧横向间隙改善了交通流的稳定区域，增加了交通流的容量和密度。此外，与单侧横向间隙模型相比，它能够快速消散交通扰动。预计新模型将为评估替代运输政策措施提供基础，并有助于分析未来的系统性能。数学和数值分析结果表明，所提出的模型满足现实世界系统的所有定性和物理特性。此外，模型中的两侧横向间隙改善了交通流的稳定区域，增加了交通流的容量和密度。此外，与单侧横向间隙模型相比，它能够快速消散交通扰动。预计新模型将为评估替代运输政策措施提供基础，并有助于分析未来的系统性能。数学和数值分析结果表明，所提出的模型满足现实世界系统的所有定性和物理特性。此外，模型中的两侧横向间隙改善了交通流的稳定区域，增加了交通流的容量和密度。此外，与单侧横向间隙模型相比，它能够快速消散交通扰动。预计新模型将为评估替代运输政策措施提供基础，并有助于分析未来的系统性能。模型中的两侧横向间隙改善了交通流的稳定区域，增加了交通流的容量和密度。此外，与单侧横向间隙模型相比，它能够快速消散交通扰动。预计新模型将为评估替代运输政策措施提供基础，并有助于分析未来的系统性能。模型中的两侧横向间隙改善了交通流的稳定区域，增加了交通流的容量和密度。此外，与单侧横向间隙模型相比，它能够快速消散交通扰动。预计新模型将为评估替代运输政策措施提供基础，并有助于分析未来的系统性能。