On the equivalence between continuum and car-following models of traffic flow

@article{Jin2014OnTE,
  title={On the equivalence between continuum and car-following models of traffic flow},
  author={Wen-Long Jin},
  journal={arXiv: Analysis of PDEs},
  year={2014},
  pages={543-559}
}
  • Wen-Long Jin
  • Published 2014
  • Mathematics, Economics
  • arXiv: Analysis of PDEs
  • Recently different formulations of the first-order Lighthill-Whitham-Richards (LWR) model have been identified in different coordinates and state variables. However, there exists no systematic method to convert higher-order continuum models into car-following models and vice versa. In this study we propose a simple method to enable systematic conversions between higher-order continuum and car-following models in two steps: equivalent transformations of variables between Eulerian and Lagrangian… CONTINUE READING
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