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Title: Non-unique flows in macroscopic first-order intersection models
Authors: Corthout, Ruben ×
Flötteröd, Gunnar
Viti, Francesco
Tampère, Chris #
Issue Date: Mar-2012
Publisher: Pergamon Press
Series Title: Transportation Research Part B vol:46 issue:3 pages:343-359
Abstract: Currently, most intersection models embedded in macroscopic Dynamic Network Loading (DNL) models are not well suited for urban and regional applications. This is so because so-called internal supply constraints, bounding flows due to crossing and merging conflicts inherent to the intersection itself, are missing. This paper discusses the problems that arise upon introducing such constraints. A general framework for the distribution of (internal) supply is adopted, which is based on the definition of priority parameters that describe the strength of each flow in the competition for a particular supply. Using this representation, it is shown that intersection models – with realistic behavioral assumptions, and in simple configurations – can produce non-unique flow patterns under identical boundary conditions. This solution non-uniqueness is thoroughly discussed and approaches on how it can be dealt with are provided. Also, it is revealed that the undesirable model properties are not solved – but rather enhanced – when diverting from a point-like to a spatial modeling approach.
ISSN: 0191-2615
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Centre for Industrial Management / Traffic & Infrastructure
× corresponding author
# (joint) last author

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