A dynamical two-dimensional traffic model in an anisotropic network
A dynamical two-dimensional traffic model in an anisotropic network
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DOI:
10.3934/nhm.2013.8.663
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发表时间:
2013-10
期刊:
影响因子:
--
通讯作者:
Tibye Saumtally;J. Lebacque;H. Salem
中科院分区:
文献类型:
--
作者:
Tibye Saumtally;J. Lebacque;H. Salem
The aim of this paper is to build a dynamical traffic model in a dense urban area. The main contribution of this article is to take into account the four possible directions of traffic flows with flow vectors of dimension $4$ and not $2$ as in fluid mechanic on a plan. Traffic flows are viewed as confrontation results between users demands and a travel supply of the network. The model gathers elements of intersection theory and two-dimensional continuum networks.