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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 796842, 8 pages
Research Article

The Analysis of Braess’ Paradox and Robustness Based on Dynamic Traffic Assignment Models

1School of Architecture and Urban Planning, Shandong Jianzhu University, Jinan 250101, China
2School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
3Public Security Department, Shandong Police College, Jinan 250014, China

Received 25 July 2013; Accepted 24 October 2013

Academic Editor: Wuhong Wang

Copyright © 2013 Bai-Bai Fu 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.


The investigation of the paradox and robustness about the traffic network is an important branch of the traffic assignment. In this paper, Braess’ paradox and robustness of the dynamic traffic network are analyzed by the dynamic traffic assignment models. In addition, the relationship of total costs with different traffic assignment models is discussed. The results show that the paradox only occurs in certain range; the robustness of the network and the relationship of total traffic costs are changed as the traffic demand changes, which provides theoretical guidance for the urban transportation planning.