文章基本信息

标题：Sensitivity Analysis for Link Capacity based on Elastic Demand Equilibrium with Queuing
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作者：Yi Zhao ; Yi Zhao ; Jian Lu 等
期刊名称：Procedia - Social and Behavioral Sciences
印刷版ISSN：1877-0428
出版年度：2013
卷号：96
页码：39-52
DOI：10.1016/j.sbspro.2013.08.008
语种：English
出版社：Elsevier
摘要：AbstractLink capacity enhancement is often used for relieving traffic congestion. However, this measure may not be efficient because it may move the congestion from one road to another. Therefore, an efficient scheme should take into account the effects of the changed network flow pattern to achieve a global optimal solution. In this paper, elastic demand network equilibrium with queuing assignment model is established to describe drivers’ route choice behavior under both queuing and congestion conditions. The improved inner penalty function method is put forward to solve the equilibrium model. Then the nondegenerate extreme point of path flow equilibrium solution is derived. Finally, sensitivity analysis is performed to derive the explicit expressions of equilibrium parameters with respect to changed link capacities. This sensitivity information can accurately check whether enhancing road capacities would be helpful to relieve traffic congestion by reducing traffic delays in saturated links. The derivative information also allows to estimate a nearby solution for small changes in the link capacity parameters once an equilibrium solution has been obtained. A numerical example is presented to explicitly demonstrate the sensitivity analysis method and its application to the evaluation of network capacities expansion schemes.
关键词：network equilibrium;sensitivity analysis;elastic demand;queuing network;link capacity enhancement.