首页 | 本学科首页   官方微博 | 高级检索  
     检索      

网络交通流动态演化的混沌现象及其控制
引用本文:刘诗序,关宏志,严海.网络交通流动态演化的混沌现象及其控制[J].物理学报,2012,61(9):90506-090506.
作者姓名:刘诗序  关宏志  严海
作者单位:北京工业大学交通工程北京市重点实验室,北京,100124
基金项目:国家重点基础研究发展计划(批准号: 2012CB725403), 国家自然科学基金(批准号:50978008)和北京市自然科学基金(批准号: 8102007)资助的课题.
摘    要:本文以含2条平行路径的交通网络为例, 探讨了网络交通流逐日动态演化问题. 首先, 建立了动态系统模型来刻画网络交通流的演化过程, 动态系统模型的不动点就是随机用户平衡解, 证明了平衡解存在且唯一. 然后, 根据非线性动力学理论, 推导出了网络交通流演化的稳定性条件. 其次, 通过数值实验, 分析了网络交通流的演化特征, 发现了在一定条件下流量的周期振荡和混沌现象. 最后, 以OD需求为控制变量推导出了网络交通流混沌控制的方法.

关 键 词:网络交通流  路径选择  动态演化  混沌
收稿时间:2011-12-13

Chaotic behavior in the dynamical evolution of network traffic flow and its control
Liu Shi-Xu,Guan Hong-Zhi,Yan Hai.Chaotic behavior in the dynamical evolution of network traffic flow and its control[J].Acta Physica Sinica,2012,61(9):90506-090506.
Authors:Liu Shi-Xu  Guan Hong-Zhi  Yan Hai
Institution:Beijing Key Laboratory of Transportation Engineering, Beijing University of Technology, Beijing 100124, China
Abstract:This paper presents the day-to-day dynamic evolution of network traffic flow in a simple two-route network. Firstly, a day-to-day dynamical assignment model is formulated, which can depict the evolution of network traffic flow. We have proved that the fixed point of the dynamical system, which is the stochastic user equilibrium solution, exists and is unique. Secondly, based on nonlinear dynamics theory, an equilibrium stability condition for the network is derived. Moreover, the evolution of network traffic flow is investigated through numerical experiments. Meanwhile, periodic and chaotic flows are discovered under certain conditions. Finally, a chaotic control method is derived considering OD demand as control variable.
Keywords:network traffic flow  route choice  dynamical evolution  chaos
本文献已被 CNKI 万方数据 等数据库收录!
点击此处可从《物理学报》浏览原始摘要信息
点击此处可从《物理学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号