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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