2005, 2005(Special): 904-910. doi: 10.3934/proc.2005.2005.904

An application of optimal transport paths to urban transport networks

1. 

University of Texas at Austin, Department of Mathematics, 1 University Station C1200, Austin, TX, 78712-0257, United States

Received  September 2004 Revised  April 2005 Published  September 2005

In this article, we provide a model to study urban transport network by means of optimal transport paths recently studied by the author. Under this model, we can set up an optimal urban transport network of finite total cost which provide access to all residents from their home to their destinations. The quality of the road depends on the traffic density it carries, which make it necessary to build a large highway for heavy traffic. Moreover, we provide a reasonable pricing system for an optimal transport network, under which all residents will travel to their destinations by the network. We also studied the problem of expanding and modifying a given network.
Citation: Qinglan Xia. An application of optimal transport paths to urban transport networks. Conference Publications, 2005, 2005 (Special) : 904-910. doi: 10.3934/proc.2005.2005.904
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