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

Author:

Fu Bai-Bai1,Zhao Chun-Xue2,Li Shu-bin3

Affiliation:

1. School of Architecture and Urban Planning, Shandong Jianzhu University, Jinan 250101, China

2. School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

3. Public Security Department, Shandong Police College, Jinan 250014, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022);Transportation Research Part B: Methodological;2023-11

2. Dynamics in Braess Paradox with Nonimpulsive Commuters;Discrete Dynamics in Nature and Society;2015

3. Braess’s Paradox in Day-to-Day Model;Advanced Materials Research;2014-12

4. A Multiclass, Multimodal Dynamic Traffic Assignment Model with Departure Time;Mathematical Problems in Engineering;2014

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