A Traffic Assignment Model Based on Link Densities

A new model is presented that determines the traffic equilibrium on congested networks using link densities as well as costs in a manner consistent with the fundamental traffic equation. The solution so derived satisfies Wardrop’s first principle. This density-based approach recognizes traffic flow...

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Bibliographic Details
Published in:Journal of advanced transportation 2019-01, Vol.2019 (2019), p.1-20
Main Authors: de Grange, Louis, González, Felipe, Marechal, Matthieu
Format: Article
Language:English
Subjects:
Analysis
Communications traffic
Costs
Equilibrium
First principles
Maximum flow
Queues
Route choice
Traffic assignment
Traffic congestion
Traffic flow
Traffic models
Transportation
Transportation models
Travel
Vehicles
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Summary:A new model is presented that determines the traffic equilibrium on congested networks using link densities as well as costs in a manner consistent with the fundamental traffic equation. The solution so derived satisfies Wardrop’s first principle. This density-based approach recognizes traffic flow reductions that may occur when network traffic congestion is high; also, it estimates queue lengths (i.e., the number of vehicles on saturated links), and it explicitly takes into account the maximum flow a link can handle, which is defined by the fundamental traffic equation. The model is validated using traffic microsimulations and implemented on a typical Nguyen-Dupuis network to compare it with a flow-based approach. System optimal assignment model based on link densities is also presented.
ISSN:0197-6729
2042-3195
DOI:10.1155/2019/5282879