Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We propose a dynamic traffic network model and give the equilibrium condition and the equivalent variational inequality of the network.
In this model, instead of the influence of inflow rate and output rate on the link congestion, the influence of the adjacent links at the same paths is considered; in this case, the equivalence between the equilibrium condition and the variational inequality is proved.
Then we take an example about the paradox using the variational inequality and find that the probability and the severity that Braess’ paradox occurs change with the influence of other links changing.
Subsequently, we discuss the influence of other links on whether the adding link works under the dynamic system optimal.
At last, we give the relationship between the total congestion under dynamic user equilibrium and that under dynamic system optimal.
The results imply that we should take some methods and adjust the interaction between links rationally with the dynamic change of traffic situations.
American Psychological Association (APA)
Zhao, Chun-Xue. 2014. Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1017963
Modern Language Association (MLA)
Zhao, Chun-Xue. Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1017963
American Medical Association (AMA)
Zhao, Chun-Xue. Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1017963
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1017963