Dynamic Traffic Network Equilibrium System

Dynamic Traffic Network Equilibrium System

<p/> <p>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,...

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Main Authors: Xu Jiu-Ping, Wu Meng, He Yun-Peng, Huang Nan-Jing
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/873025
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spelling doaj-804d12aa36dd451786c122071cd25ae42020-11-25T00:15:12ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101873025Dynamic Traffic Network Equilibrium SystemXu Jiu-PingWu MengHe Yun-PengHuang Nan-Jing<p/> <p>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.</p>http://www.fixedpointtheoryandapplications.com/content/2010/873025
collection DOAJ
language English
format Article
sources DOAJ
author Xu Jiu-Ping
Wu Meng
He Yun-Peng
Huang Nan-Jing
spellingShingle Xu Jiu-Ping
Wu Meng
He Yun-Peng
Huang Nan-Jing
Dynamic Traffic Network Equilibrium System
Fixed Point Theory and Applications
author_facet Xu Jiu-Ping
Wu Meng
He Yun-Peng
Huang Nan-Jing
author_sort Xu Jiu-Ping
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 <p/> <p>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.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/873025
work_keys_str_mv AT xujiuping dynamictrafficnetworkequilibriumsystem
AT wumeng dynamictrafficnetworkequilibriumsystem
AT heyunpeng dynamictrafficnetworkequilibriumsystem
AT huangnanjing dynamictrafficnetworkequilibriumsystem
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