Dynamic Traffic Network Equilibrium System

Dynamic Traffic Network Equilibrium System

We discuss the dynamic traffic network equilibrium system problem. We introduce the equilibrium definition based on Wardrop's principles when there are some internal relationships between different kinds of goods which transported through the same traffic network. Moreover, we also prove tha...

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Main Authors: Yun-Peng He, Jiu-Ping Xu, Nan-Jing Huang, Meng Wu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/873025
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spelling doaj-e86853daac334d47b910a4957d13544c2020-11-24T21:17:42ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/873025Dynamic Traffic Network Equilibrium SystemYun-Peng HeJiu-Ping XuNan-Jing HuangMeng WuWe discuss the dynamic traffic network equilibrium system problem. We introduce the equilibrium definition based on Wardrop's principles when there are some internal relationships between different kinds of goods which transported through the same traffic network. Moreover, we also prove that the equilibrium conditions of this problem can be equivalently expressed as a system of evolutionary variational inequalities. By using the fixed point theory and projected dynamic system theory, we get the existence and uniqueness of the solution for this equilibrium problem. Finally, a numerical example is given to illustrate our results. http://dx.doi.org/10.1155/2010/873025
collection DOAJ
language English
format Article
sources DOAJ
author Yun-Peng He
Jiu-Ping Xu
Nan-Jing Huang
Meng Wu
spellingShingle Yun-Peng He
Jiu-Ping Xu
Nan-Jing Huang
Meng Wu
Dynamic Traffic Network Equilibrium System
Fixed Point Theory and Applications
author_facet Yun-Peng He
Jiu-Ping Xu
Nan-Jing Huang
Meng Wu
author_sort Yun-Peng He
title Dynamic Traffic Network Equilibrium System
title_short Dynamic Traffic Network Equilibrium System
title_full Dynamic Traffic Network Equilibrium System
title_fullStr Dynamic Traffic Network Equilibrium System
title_full_unstemmed Dynamic Traffic Network Equilibrium System
title_sort dynamic traffic network equilibrium system
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description We discuss the dynamic traffic network equilibrium system problem. We introduce the equilibrium definition based on Wardrop's principles when there are some internal relationships between different kinds of goods which transported through the same traffic network. Moreover, we also prove that the equilibrium conditions of this problem can be equivalently expressed as a system of evolutionary variational inequalities. By using the fixed point theory and projected dynamic system theory, we get the existence and uniqueness of the solution for this equilibrium problem. Finally, a numerical example is given to illustrate our results.
url http://dx.doi.org/10.1155/2010/873025
work_keys_str_mv AT yunpenghe dynamictrafficnetworkequilibriumsystem
AT jiupingxu dynamictrafficnetworkequilibriumsystem
AT nanjinghuang dynamictrafficnetworkequilibriumsystem
AT mengwu dynamictrafficnetworkequilibriumsystem
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