Car parks are an essential piece of infrastructure associated with the road networks, yet
commonly available traffic assignment models do not to explicitly integrate them into the
modelling process. This research attempts to integrate the choice of car parks in urban areas
into the travellers’ route choice and incorporates both the route and car park choice in a joint
modelling framework of traffic assignment based on equilibrium approach. This paper
illustrates the implementation of the model in a commonly used standard suite of traffic
assignment software. The proposed method considers multiple user classes - commuter and
non-commuter flows, and involves modelling the demand for short stay and long stay car
parks over multiple departure periods. A special search time delay function has been
developed to represent the disutility in searching for a place in a car park, which is integrated
further into the function of generalised cost of travel. This technique has been successfully
applied to study the choice of car parks in the case of a simple hypothetical network. Another
larger numerical example illustrates the case of managing the demand between two car parks
in Leeds, England
