• DOI:10.1098/rspa.1955.0089
Corpus ID: 15210652

On kinematic waves II. A theory of traffic flow on long crowded roads

@article{Lighthill1955OnKW,
  title={On kinematic waves II. A theory of traffic flow on long crowded roads},
  author={M. Lighthill and G. Whitham},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  year={1955},
  volume={229},
  pages={317 - 345}
}

M. Lighthill, G. Whitham

Published 1955

Engineering, Computer Science

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

This paper uses the method of kinematic waves, developed in part I, but may be read independently. [...] Key Method The hump gradually spreads out along the road, and the time scale of this process is estimated. The behaviour of such a hump on entering a bottleneck, which is too narrow to admit the increased flow, is studied (§5), and methods are obtained for estimating the extent and duration of the resulting hold-up. The theory is applicable principally to traffic behaviour over a long stretch of road, but…Expand Abstract

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