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Journal of Advanced Transportation
Volume 2019, Article ID 5282879, 20 pages
Research Article

A Traffic Assignment Model Based on Link Densities

1School of Industrial Engineering, Diego Portales University, Santiago de Chile, Chile
2Institute of Basic Sciences, Faculty of Engineering, Diego Portales University, Santiago de Chile, Chile

Correspondence should be addressed to Louis de Grange; lc.pdu@egnarged.siuol

Received 31 December 2018; Revised 23 April 2019; Accepted 2 June 2019; Published 27 June 2019

Academic Editor: Francesco Viti

Copyright © 2019 Louis de Grange et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.