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Non-unique flows in macroscopic first-order intersection models
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DOI：10.1016/j.trb.2011.10.011.png)
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摘要
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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. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Dynamic Network Loading
First-order macroscopic intersection model
Internal supply constraints
Priority parameters
Solution non-uniqueness
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