Extending the Link Transmission Model with non-triangular fundamental diagrams and capacity drops

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9 Citations (Scopus)
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Abstract

The original Link Transmission Model as formulated by Yperman et al. (2006) simulates traffic according to Lighthill-Whitham-Richards theory with a very small numerical error, yet only supports triangular fundamental diagrams. This paper relaxes that restriction in two steps. Firstly, we extend the model to handle any continuous concave fundamental diagram, and prove that this extension is still consistent with Lighthill-Whitham-Richards theory. Secondly, we extend the theory and model to handle a capacity drop, explicitly looking into the handling of both the onset and release of congestion. The final model is still first-order and suitable for general networks. Numerical examples show that it qualitatively improves on the original model due to uniquely featuring complex traffic patterns including stop-and-go waves, with crisp shockwaves between traffic states, as well as acceleration fans.
Original languageEnglish
Article number9
Pages (from-to)154-178
Number of pages25
JournalTransportation Research. Part B: Methodological
Volume98
Early online date4 Jan 2017
DOIs
Publication statusPublished - Apr 2017

Keywords

  • Link Transmission Model
  • Lighthill-Whitham-Richards theory
  • first-order model
  • capacity drop
  • node model
  • stop-and-go wave

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