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

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

van der Gun, J.P.T. (TU Delft Transport and Planning)
Pel, A.J. (TU Delft Transport and Planning)
van Arem, B. (TU Delft Transport and Planning)

Transport and Planning

2015-07-23

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.

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

http://resolver.tudelft.nl/uuid:321f2f62-9232-41f4-82db-325ca074cd87

https://doi.org/10.1016/j.trb.2016.12.011

2018-12-21

0191-2615

Transportation Research. Part B: Methodological, 98, 154-178

Institutional Repository

journal article

© 2015 J.P.T. van der Gun, A.J. Pel, B. van Arem