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Non-unique flows in macroscopic first-order intersection models
KTH, School of Architecture and the Built Environment (ABE), Transport Science, Traffic and Logistics.
Department of Mechanical Engineering, CIB/Traffic & Infrastructure, Katholieke Universiteit Leuven, Belgium.
2012 (English)In: Transportation Research Part B: Methodological, ISSN 0191-2615, Vol. 46, no 3, 343-359 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2012. Vol. 46, no 3, 343-359 p.
Keyword [en]
Dynamic Network Loading, First-order macroscopic intersection model, Internal supply constraints, Priority parameters, Solution non-uniqueness
National Category
Transport Systems and Logistics
URN: urn:nbn:se:kth:diva-76740DOI: 10.1016/j.trb.2011.10.011ISI: 000301810000001ScopusID: 2-s2.0-84856485237OAI: diva2:491113
TrenOp, Transport Research Environment with Novel Perspectives
QC 20120413Available from: 2012-02-06 Created: 2012-02-06 Last updated: 2012-06-12Bibliographically approved

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