Non-unique flows in macroscopic first-order intersection models

作者：Corthout Ruben^*; Flotterod Gunnar; Viti Francesco; Tampere Chris M J

来源：Transportation Research Part B: Methodological , 2012, 46(3): 343-359.

DOI：10.1016/j.trb.2011.10.011

• Dynamic Network Loading
• First-order macroscopic intersection model
• Internal supply constraints
• Priority parameters
• Solution non-uniqueness

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.

• 出版日期2012-3