In:
Applied Mechanics and Materials, Trans Tech Publications, Ltd., Vol. 505-506 ( 2014-1), p. 698-702
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.
Type of Medium:
Online Resource
ISSN:
1662-7482
DOI:
10.4028/www.scientific.net/AMM.505-506
DOI:
10.4028/www.scientific.net/AMM.505-506.698
Language:
Unknown
Publisher:
Trans Tech Publications, Ltd.
Publication Date:
2014
detail.hit.zdb_id:
2251882-4
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