Dynamic Traffic Network Equilibrium System with Elastic Demands

Abstract:

We discuss the dynamic traffic network equilibrium system problem with elastic demands by way of a quasi-variational inequality.We introduce the equilibrium definition with elastic demands based on Wardrops 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 with elastic demands 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 with elastic demands. Finally, some numerical examples are given to illustrate our results.

• Periodical: Applied Mechanics and Materials (Volumes 505-506)
• Pages: 698-702
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.505-506.698
• Online since: January 2014
• Authors: Chao Feng Shi*, Ying Rui Wang
• Keywords: Elatic Demands, Traffic Network, User Equilibrium System, Variational Inequality

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