Mixing micro and macro representations of traffic flow: a first theoretical step


Type de document
Résumé / Abstract
Traffic flow is the result of different phenomena that may have different scales. For example, a queue at a traffic signal is very dynamic and bas a hundred meters of geographical spread, whereas a traffic jam on a freeway can spread over several kilometers and during several hours. For this reason, but also because it is important to model a whole network in a comprehensive way, we are interested in a hybrid model mixing two types of representations known in the literature as microscopic and macroscopic models. This paper intends to be a first step towards such a model and we will address here some theoretical issues of hybridation. In a first part, we will browse the different kinds of traffic flow models regarding their scale of representation and we will propose a new classification that is more illustrative than the classical micro versus macro one. ln a second part, we will study the theoretical aspects of hybridation and in particular different limitations introduced by the mixing of different representation scales. Finally, we will present a sort of 'ideal' hybrid model based on the LWR traffic flow theory (Lighthill and Whitham 1955; Richards 1956) and we will propose some extensions to this model.

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