A generic class of first order node models for dynamic macroscopic simulation of traffic flows

A generic class of first order node models for dynamic macroscopic simulation of traffic flows

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Article ID: iaor20108407
Volume: 45
Issue: 1
Start Page Number: 289
End Page Number: 309
Publication Date: Jan 2011
Journal: Transportation Research Part B
Authors: , , ,
Keywords: traffic flow
Abstract:

Node models for macroscopic simulation have attracted relatively little attention in the literature. Nevertheless, in dynamic network loading (DNL) models for congested road networks, node models are as important as the extensively studied link models. This paper provides an overview of macroscopic node models found in the literature, explaining both their contributions and shortcomings. A formulation defining a generic class of first order macroscopic node models is presented, satisfying a list of requirements necessary to produce node models with realistic, consistent results. Defining a specific node model instance of this class requires the specification of a supply constraint interaction rule and (optionally) node supply constraints. Following this theoretical discussion, specific macroscopic node model instances for unsignalized and signalized intersections are proposed. These models apply an oriented capacity proportional distribution of the available supply over the incoming links of a node. A computationally efficient algorithm to solve the node models exactly is included.

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