Lagrangian formulation for mixed traffic flow including two-wheelers
For traffic engineers studying mixed traffic dynamics, this work offers a more accurate modeling framework, though it is an incremental extension of existing Lagrangian methods to include two-wheelers.
This paper develops a multi-class Lagrangian traffic flow model for mixed traffic including cars and two-wheelers, and presents a numerical solution method. Comparisons show the Lagrangian formulation provides more accurate trajectory and capacity drop representations than the Eulerian approach.
Lagrangian formulation of kinematic wave provides a more accurate representation than the most commonly used Eulerian formulation. Furthermore, Lagrangian representation offers a flexibility to study certain traffic phenomena (e.g. capacity drop, traffic delay, trajectory). The natural resemblance of Lagrangian representation to road traffic data collection methods (probe vehicles) also renders it suitable for applications such as traffic motoring. This paper presents a multi-class Lagrangian representation for a traffic flow consisting of cars and two-wheelers. A numerical method for solving the continuity equation is presented. We compare the results obtained with Eulerian and Lagrangian formulations.