A cell-based variational inequality formulation of the dynamic user optimal assignment problem
A cell-based variational inequality formulation of the dynamic user optimal assignment problem
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DOI：
10.1016/s0191-2615(01)00011-x
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发表时间：
2002-06-01
影响因子：
6.8
通讯作者：
Szeto, WY
中科院分区：
文献类型：
--
作者：
Lo, HK;Szeto, WY
基于理想动态用户最优（DUO）原则，通过变分不等式方法，提出了一种基于小区的动态交通分配模型。为了提高动态流量建模的准确性，该公式封装了网络版本的细胞传输模型（CTM）。此外，该公式通过CTM满足先进先出（FIFO）条件。对于解决方案，我们采用了交替方向的方法开发的co-coercive变分不等式问题。我们建立了两个方案来评估这个配方的属性，在交通动态和理想的DUO原则的领域。结果表明，该公式能够捕捉到冲击波、队列形成和耗散等动力学现象。此外，结果表明，这种基于细胞的配方产生的解决方案完全符合理想的DUO原则。(C)2002爱思唯尔科技有限公司版权所有。
This paper developed a cell-based dynamic traffic assignment formulation that follows the ideal dynamic user optimal (DUO) principle through a variational inequality approach. To improve the accuracy of dynamic traffic modeling, this formulation encapsulates a network version of the Cell Transmission Model (CTM). Moreover, this formulation satisfies the first-in-first-out (FIFO) conditions through the CTM. For solutions, we employed an alternating direction method developed for co-coercive variational inequality problems. We set up two scenarios to evaluate the properties of this formulation, in the areas of traffic dynamics and the ideal DUO principle. The results showed that the formulation was capable of capturing dynamic phenomena, such as shockwaves, queue formation and dissipation. Moreover, the results demonstrated that this cell-based formulation produced solutions that precisely followed the ideal DUO principle. (C) 2002 Elsevier Science Ltd. All rights reserved.