The link transmission model with variable fundamental diagrams and initial conditions

The link transmission model is a macroscopic network traffic flow simulation tool based on Lighthill–Whitham–Richards theory. While its efficiency and accuracy are superior to the well-known cell transmission model, applications of its current numerical formulations are limited by the inability to apply changes to the fundamental diagrams of...

Extending the Link Transmission Model with general concave fundamental diagrams and capacity drops

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

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...