continuous models; Lighthill-Whitham-Richards models; Daganzo's
Despite their deficiencies, continuous second-order traffic flow models are still commonly used to derive discrete-time models that help traffic engineers to model and predict traffic
oflow behaviour on highways. We brie
fly overview the development of traffic flow theory based on continuous
flow-density models of Lighthill-Whitham-Richards (LWR) type, that lead to the second-order model of Aw-Rascle. We will then concentrate on widely-adopted discrete approximation to the LWR model by Daganzo's Cell Transmission Model. Behaviour of the discussed models will be demonstrated by comparing the traffic
flow prediction based on these models with real traffic data on the southern highway ring of Prague.