English

Lagrangian formulation for mixed traffic flow including two-wheelers

Optimization and Control 2018-04-26 v1 Systems and Control

Abstract

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.

Keywords

Cite

@article{arxiv.1804.09176,
  title  = {Lagrangian formulation for mixed traffic flow including two-wheelers},
  author = {Sosina Gashaw and Jérôme Härri and Paola Goatin},
  journal= {arXiv preprint arXiv:1804.09176},
  year   = {2018}
}

Comments

6 pages, 10 figures, unpublished paper

R2 v1 2026-06-23T01:34:23.500Z