Stability Analysis And Information Guidance Method Of Traffic Flow Based On The Two-dimensional OV Model

Pedestrians, non-motor vehicles (bicycles, tricycles, etc.) mixed with motor vehicles traveling together on road are typical traffic modes in our city. Motorized vehicles have different characteristics from non-motor vehicles and pedestrians:motorized vehicles travel according to lane and have following behavior, while pedestrians and non-motor vehicles do not follow the one in front on a specific way, they move both laterally:and vertically. Due to the flexibility and low velocity of pedestrians and non-motor vehicles, mixed traffic flow performances more complex than the motorized traffic flow. Complexity of mixed traffic flow leads to the difficulty of the management and often induces traffic accident, which would bring in huge losses to the people and our country. For the stability analysis of traffic flow is one of the important theory tools of traffic congestion, it is significant to analyze the traffic flow characteristics and the causes of the traffic jams, prevent traffic jams, and improve driving safety and capacity on road. In this paper, the stability of pedestrians'flow, the mixed flow composed of pedestrian and bicycles, the mixed flow with motorized vehicles and non-motorized vehicles are analyzed based on the two-dimensional optimal velocity (OV) model, respectively. The main contents are given as follows:1. Based on the two-dimensional OV model, considering the occupying space of the pedestrian and a non-collision term, two new models are proposed. Firstly, the stability of homogenous flow in the model is investigated with both linear stability analysis and numerical simulations. For the same parameters, the performances are compared between the models with and without considering the occupying space of pedestrians. Secondly, based on the analysis of the causes of the unstable phenomena, a non-collision term is put forward:if distance of particles (i.e. pedestrians) is less than the summation of two radiuses, to avoid collisions, the particle will deviate from the original car following path to the other direction. The simulations of counter flow demonstrate that the term can not only alleviate the collisions between particles, but also contribute to improve the stability of pedestrians' flow. Finally, the stability of pedestrians' flow with information guidance is analyzed both theoretically and numerically. Further more, the impact of ratio and distribution of pedestrians with information guidance is analyzed by the numerical simulation.2. Based on the two-dimensional OV model, the stability of pedestrians and bicycles' flow are analyzed by linear stability analysis, and the impact of the ratios of bicycles on the mixed flow composed of pedestrians and bicycles are analyzed by the numerical simulations. Under the periodic boundaries, two initial situations are simulated, including both the bicycles randomly mixing with the pedestrians and the bicycles locating on one side of the pedestrians. For each situation, three cases are investigated, i.e. pedestrians' flow and bicycles' flow are all unstable, the pedestrian's flow is stable while bicycle's flow is not and both two are stable. Furthermore, a information guidance method is proposed and its impact on the mixed flow is investigated. The results show that the information is helpful to improve the stability of mixed traffic flow.3. Based on the two dimensional OV model, the stability of mixed flow composed of motorized vehicles and non-motorized vehicles on the unsignalized intersection is investigated. Firstly, the two-dimensional OV model is applied to simulate the interference between right-turning vehicles'flow and the straightforward non-motorized vehicles'flow on the unsignalized intersection. The flux and stability of the mixed flow under different right-turning probabilities of the motorized vehicles are investigated. Besides, the impact of inform different information guidance strategies on the mixed flow stability are investigated.