Non-unique flows in macroscopic first-order intersection models

Ruben Corthout, Gunnar Flötteröd, Francesco Viti and Chris M.J. Tampère

Transportation Research Part B: Methodological, 2012, vol. 46, issue 3, 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.

Keywords: Dynamic Network Loading; First-order macroscopic intersection model; Internal supply constraints; Priority parameters; Solution non-uniqueness (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (13)

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DOI: 10.1016/j.trb.2011.10.011

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