Investigation of traffic characteristics in vehicular transport

Abstract

The number of automobiles increased as a result of population growth and economic expansion. The high availability of transportation complicates vehicle interaction, which may cause the occurrence of traffic congestion. Therefore, the traffic flow phenomenon has become one of the critical complex systems. Mathematical models can be used to understand and visualize traffic flow in mathematical terms. In this light, the current research puts up models and analyses of several actual traffic features by adopting a lattice hydrodynamic methodology (approach). The lattice hydrodynamic model has become the most famous because of its simpler approach. In this approach, space is discretized into lattice sites. The model comprises continuity and momentum equations that explain the aggregate behavior of traffic flow at each lattice site. In this thesis, the effects of predictive effect have been examined on one-lane system when overtaking is permitted, two-lane system with rule of lane change, two-dimensional system having junction on road. Further, a new lattice model is developed by considering the influences of uncertainty of historical information on downstream. Furthermore, the factor area occupancy is included in lattice model which is related to heterogeneous traffic. All the models are analyzed theoretically by linear and nonlinear analysis. Theoretical findings are confirmed by numerical simulations. Additionally, the thesis is presented in seven chapters: Based on traffic flow theory, Chapter 1 reviews the literature regarding the general traffic system noted by the researchers, the potential hurdles to the transportation system, and possible solutions. Assumptions and requirements of traffic flow modeling are discussed. Various modeling approaches, such as microscopic models, macroscopic models, and lattice hydrodynamic models, are briefly discussed, describing important features of the traffic phenomenon. In addition, the scope and limitations of the existing models are presented.